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Mapping Fetac Level 3 Mathematics 3N0929 & Khan Academy by Sorcha Moran [email protected]

Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

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Page 1: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

Mapping Fetac Level 3 Mathematics 3N0929 amp Khan Academyby Sorcha Moran

sorchamorangmailcom

Introduction

Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy This document is laid out as follows

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

FETAC reference

Required learning

outcome as defined by

FETAC

Relevant tutorials and exercises on Khan Academy

Gaps between Khan Academy and FETAC

Previous knowledgeCore skills learner will need to know in order to

fully understand and achieve learning outcome

bull All text in this colour is a hyperlink to a complete tutorial of videos and exercises on Khan Academy that the learner can work through in a logical order

bull All text in this colour is a hyperlink directly to the exercises

Suggested uses for this document1 The document can be used as a resource for teachers Teachers can easily reference the relevant exercises to their current class and make

recommendations to the classgroup based on this This is a good way to make sure that everyone understands the current material before moving on to the next topic

2 The document can be given to the students This is a very powerful learning tool as you are handing the responsibility of learning over to the students themselves Each learner can work at their own pace and fill their individual learning gaps while being guided by the document to ensure they meet the specific learning outcomes required The document can also be used by the learner as a check-list so that they can follow their own progress It would be a good idea to print a weekly progress report for each student and add a signed copy to their portfolio The learnerʼs portfolio would then only need revision worksheets at the end of each unit as proof of learning

3 The document can be used as a combination of the above Each learner works at their own pace but the teacher can also recommend specific exercises each week so that there is a focus topic The teacher will then be aware of any difficulties learners are having before each class The beginning of class can be used for a group discussion on this particular topic and for project work

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

11 Explain the concepts of natural numbers (N) integers (Z) and real numbers (R)

1 Pre-Algebra -gt Fractions -gt Number Sets

videosa Number setsb Number sets 1c Number sets 2d Number sets 3

2Arithmetic -gt Negative Number Basics

a Negative numbers on the number line

b Negative numbers on the number line without reference to zero

c Ordering negative numbersd Number opposites

2 Arithmetic -gt Decimals -gt Decimals on a Number Line

a Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

3 Arithmetic -gt Fractions -gt Understanding Fractions

a Fractions on the number line 1

1 Worksheet testing understanding of terminology of Natural Numbers Integers and Real Numbers

1 Pre-Algebra -gt Arithmetic Properties -gt Place Value

a Place valueb Understanding place value

2Arithmetic -gt Fractions -gt Understanding Fractions

a Recognising fractions 1b Identifying numerators and

denominators

3 4th Grade -gt Fractions -gt Rewriting Fractions as Decimalsa Fractions as a division by 10 or 100b Fractions as a division by a multiple of

10

4 4th Grade -gt Fractions -gt Decimals and Fractionsa Converting decimals to fractions 1

5 Arithmetic -gt Decimals -gt Conceptualizing Decimals and Place Notationa Writing and interpreting decimalsb Comparing decimal place value

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

12 Demonstrate equivalence between common simple fractions decimals and percentages by conversion eg 12 = 05 = 50

1 Pre-Algebra -gt Decimals -gt Converting between Fractions and Decimals

a Converting fractions to decimalsb Converting decimals to fractions 1c Converting decimals to fractions 2

2 Pre-Algebra -gt Decimals -gt Intro to Percentages

a Converting decimals to percentsb Converting percents to decimals

1 Fractions to percentages2Percentages to fractions3Simple equivalent fractions

decimals amp percentages

1 Pre-Algebra -gt Fractions -gt Dividing Fractions

a Understanding fractions as division

2 Pre-Algebra -gt Decimals -gt Moving the Decimal to Multiply and Divide by 10

a Fractions as a division by 10 or 100b Understanding moving the decimal

3 Pre-Algebra -gt Decimals -gt Conceptualizing Decimals and Place Notationa Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

4 Pre-Algebra -gt Decimals -gt Intro to Percentages

series of videos

13 Express simple ratios as fractional ratios eg1 2 = 13 23

1 Pre-Algebra -gt Ratios Proportions Units and Rates -gt Ratios and Proportions

26th Grade -gt Ratios Rates and Percentages -gt Ratios

a Representing ratios

2 6th Grade -gt Ratios Rates and Percentages -gt Ratio Word Problemsa Ratio word problemsb Solving ratio problems with tables

1 Expressing ratios as fractional ratios

1 Pre-Algebra -gt Fractions -gt Dividing Fractions

a Understanding fractions as division

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

14 Give approximations by using strategies including significant figures and rounding off large natural numbers

1 3rd Grade -gt Place Value and Rounding -gt Rounding

a Rounding to the nearest ten or hundred

2 Pre-Algebra -gt Arithmetic Properties -gt Rounding Whole Numbers

a Rounding whole numbers

3 5th Grade -gt Place Value and Decimals -gt Rounding Decimals

a Rounding decimalsb Rounding decimals 2

4 Arithmetic -gt Decimals -gt Estimating and Rounding with Decimalsa Rounding decimals

5 Arithmetic -gt Decimals -gt Significant Figuresa Significant figures

1 Approximating using rounding and significant figures (large natural numbers)

1 Pre-Algebra -gt Arithmetic Properties -gt Place Value

a Place valueb Understanding place value

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

15 Use a calculator to perform operations requiring functions such as addition subtraction multiplication division percent memory keys and the clear key

1 Using the calculator for basic functions

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

1 Early Math -gt Addition and Subtraction -gt Basic Addition and Subtraction

a Addition within 5b Subtraction within 5c Put togetherd Take aparte Making 5

2 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 10a Making totals in different ways

within 10b Making tenc Making ten 2d Addition word problems within 10e Relate addition and subtractionf Addition and subtraction within 10g Subtraction word problems within

10

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

3 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 20a Addition within 20b Subtraction within 20c Addition and subtraction word

problems within 20 Level 1d Addition and subtraction word

problems within 20 Level 2e Addition and subtraction word

problems within 20 Level 3f Addition and subtraction word

problems within 20 Level 4g Adding three numbersh Meaning of equal sign 1

4 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 100a Add within 100 Level 1b Add within 100 Level 2c Addition within 100d Subtract within 100 Level 1e Subtract within 100 Level 2f Subtract within 100g Addition using groups of 10 Level 1h Addition using groups of 10 Level

2i Addition and subtraction word

problems within 100 Level 1j Addition and subtraction word

problems within 100 Level 2k Addition and subtraction word

problems within 100 Level 3

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

l Addition and subtraction word problems within 100 Level 4

mAdding and subtracting on the number line word problems

5 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 1000 a Add within 1000 Level 1b Subtract within 1000 Level 1c Add within 1000 Level 2d Subtract within 1000 Level 2

6 Arithmetic -gt Addition and Subtraction -gt Addition with Carrying

a Addition within 100b Addition within 1000

7 Arithmetic -gt Addition and Subtraction -gt Subtraction with borrowing (regrouping)

a Subtraction within 100b Subtraction within 1000

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

8 3rd Grade -gt Multiplication and Division -gt Concept of Multiplication and Division

a Meaning of multiplicationb Multiplying 1-digit numbersc Meaning of divisiond Basic divisione 1-digit divisionf Relate division to multiplication

9 Arithmetic -gt Multiplication and Division -gt Starter Multiplication and Division Word Problems

a Multiplication and division word problems

10 3rd Grade -gt Multiplication and Division -gt Applying Multiplication and Divisiona Solving basic multiplication and

division equationsb Relating division to multiplication

word problemsc Multiplying by 2d Multiplying by 3e Multiplying by 4f Multiplying by 5 g Multiplying by 6h Multiplying by 7i Multiplying by 8j Multiplying by 9

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 2: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

Introduction

Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy This document is laid out as follows

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

FETAC reference

Required learning

outcome as defined by

FETAC

Relevant tutorials and exercises on Khan Academy

Gaps between Khan Academy and FETAC

Previous knowledgeCore skills learner will need to know in order to

fully understand and achieve learning outcome

bull All text in this colour is a hyperlink to a complete tutorial of videos and exercises on Khan Academy that the learner can work through in a logical order

bull All text in this colour is a hyperlink directly to the exercises

Suggested uses for this document1 The document can be used as a resource for teachers Teachers can easily reference the relevant exercises to their current class and make

recommendations to the classgroup based on this This is a good way to make sure that everyone understands the current material before moving on to the next topic

2 The document can be given to the students This is a very powerful learning tool as you are handing the responsibility of learning over to the students themselves Each learner can work at their own pace and fill their individual learning gaps while being guided by the document to ensure they meet the specific learning outcomes required The document can also be used by the learner as a check-list so that they can follow their own progress It would be a good idea to print a weekly progress report for each student and add a signed copy to their portfolio The learnerʼs portfolio would then only need revision worksheets at the end of each unit as proof of learning

3 The document can be used as a combination of the above Each learner works at their own pace but the teacher can also recommend specific exercises each week so that there is a focus topic The teacher will then be aware of any difficulties learners are having before each class The beginning of class can be used for a group discussion on this particular topic and for project work

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

11 Explain the concepts of natural numbers (N) integers (Z) and real numbers (R)

1 Pre-Algebra -gt Fractions -gt Number Sets

videosa Number setsb Number sets 1c Number sets 2d Number sets 3

2Arithmetic -gt Negative Number Basics

a Negative numbers on the number line

b Negative numbers on the number line without reference to zero

c Ordering negative numbersd Number opposites

2 Arithmetic -gt Decimals -gt Decimals on a Number Line

a Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

3 Arithmetic -gt Fractions -gt Understanding Fractions

a Fractions on the number line 1

1 Worksheet testing understanding of terminology of Natural Numbers Integers and Real Numbers

1 Pre-Algebra -gt Arithmetic Properties -gt Place Value

a Place valueb Understanding place value

2Arithmetic -gt Fractions -gt Understanding Fractions

a Recognising fractions 1b Identifying numerators and

denominators

3 4th Grade -gt Fractions -gt Rewriting Fractions as Decimalsa Fractions as a division by 10 or 100b Fractions as a division by a multiple of

10

4 4th Grade -gt Fractions -gt Decimals and Fractionsa Converting decimals to fractions 1

5 Arithmetic -gt Decimals -gt Conceptualizing Decimals and Place Notationa Writing and interpreting decimalsb Comparing decimal place value

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

12 Demonstrate equivalence between common simple fractions decimals and percentages by conversion eg 12 = 05 = 50

1 Pre-Algebra -gt Decimals -gt Converting between Fractions and Decimals

a Converting fractions to decimalsb Converting decimals to fractions 1c Converting decimals to fractions 2

2 Pre-Algebra -gt Decimals -gt Intro to Percentages

a Converting decimals to percentsb Converting percents to decimals

1 Fractions to percentages2Percentages to fractions3Simple equivalent fractions

decimals amp percentages

1 Pre-Algebra -gt Fractions -gt Dividing Fractions

a Understanding fractions as division

2 Pre-Algebra -gt Decimals -gt Moving the Decimal to Multiply and Divide by 10

a Fractions as a division by 10 or 100b Understanding moving the decimal

3 Pre-Algebra -gt Decimals -gt Conceptualizing Decimals and Place Notationa Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

4 Pre-Algebra -gt Decimals -gt Intro to Percentages

series of videos

13 Express simple ratios as fractional ratios eg1 2 = 13 23

1 Pre-Algebra -gt Ratios Proportions Units and Rates -gt Ratios and Proportions

26th Grade -gt Ratios Rates and Percentages -gt Ratios

a Representing ratios

2 6th Grade -gt Ratios Rates and Percentages -gt Ratio Word Problemsa Ratio word problemsb Solving ratio problems with tables

1 Expressing ratios as fractional ratios

1 Pre-Algebra -gt Fractions -gt Dividing Fractions

a Understanding fractions as division

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

14 Give approximations by using strategies including significant figures and rounding off large natural numbers

1 3rd Grade -gt Place Value and Rounding -gt Rounding

a Rounding to the nearest ten or hundred

2 Pre-Algebra -gt Arithmetic Properties -gt Rounding Whole Numbers

a Rounding whole numbers

3 5th Grade -gt Place Value and Decimals -gt Rounding Decimals

a Rounding decimalsb Rounding decimals 2

4 Arithmetic -gt Decimals -gt Estimating and Rounding with Decimalsa Rounding decimals

5 Arithmetic -gt Decimals -gt Significant Figuresa Significant figures

1 Approximating using rounding and significant figures (large natural numbers)

1 Pre-Algebra -gt Arithmetic Properties -gt Place Value

a Place valueb Understanding place value

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

15 Use a calculator to perform operations requiring functions such as addition subtraction multiplication division percent memory keys and the clear key

1 Using the calculator for basic functions

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

1 Early Math -gt Addition and Subtraction -gt Basic Addition and Subtraction

a Addition within 5b Subtraction within 5c Put togetherd Take aparte Making 5

2 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 10a Making totals in different ways

within 10b Making tenc Making ten 2d Addition word problems within 10e Relate addition and subtractionf Addition and subtraction within 10g Subtraction word problems within

10

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

3 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 20a Addition within 20b Subtraction within 20c Addition and subtraction word

problems within 20 Level 1d Addition and subtraction word

problems within 20 Level 2e Addition and subtraction word

problems within 20 Level 3f Addition and subtraction word

problems within 20 Level 4g Adding three numbersh Meaning of equal sign 1

4 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 100a Add within 100 Level 1b Add within 100 Level 2c Addition within 100d Subtract within 100 Level 1e Subtract within 100 Level 2f Subtract within 100g Addition using groups of 10 Level 1h Addition using groups of 10 Level

2i Addition and subtraction word

problems within 100 Level 1j Addition and subtraction word

problems within 100 Level 2k Addition and subtraction word

problems within 100 Level 3

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

l Addition and subtraction word problems within 100 Level 4

mAdding and subtracting on the number line word problems

5 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 1000 a Add within 1000 Level 1b Subtract within 1000 Level 1c Add within 1000 Level 2d Subtract within 1000 Level 2

6 Arithmetic -gt Addition and Subtraction -gt Addition with Carrying

a Addition within 100b Addition within 1000

7 Arithmetic -gt Addition and Subtraction -gt Subtraction with borrowing (regrouping)

a Subtraction within 100b Subtraction within 1000

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

8 3rd Grade -gt Multiplication and Division -gt Concept of Multiplication and Division

a Meaning of multiplicationb Multiplying 1-digit numbersc Meaning of divisiond Basic divisione 1-digit divisionf Relate division to multiplication

9 Arithmetic -gt Multiplication and Division -gt Starter Multiplication and Division Word Problems

a Multiplication and division word problems

10 3rd Grade -gt Multiplication and Division -gt Applying Multiplication and Divisiona Solving basic multiplication and

division equationsb Relating division to multiplication

word problemsc Multiplying by 2d Multiplying by 3e Multiplying by 4f Multiplying by 5 g Multiplying by 6h Multiplying by 7i Multiplying by 8j Multiplying by 9

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 3: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

11 Explain the concepts of natural numbers (N) integers (Z) and real numbers (R)

1 Pre-Algebra -gt Fractions -gt Number Sets

videosa Number setsb Number sets 1c Number sets 2d Number sets 3

2Arithmetic -gt Negative Number Basics

a Negative numbers on the number line

b Negative numbers on the number line without reference to zero

c Ordering negative numbersd Number opposites

2 Arithmetic -gt Decimals -gt Decimals on a Number Line

a Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

3 Arithmetic -gt Fractions -gt Understanding Fractions

a Fractions on the number line 1

1 Worksheet testing understanding of terminology of Natural Numbers Integers and Real Numbers

1 Pre-Algebra -gt Arithmetic Properties -gt Place Value

a Place valueb Understanding place value

2Arithmetic -gt Fractions -gt Understanding Fractions

a Recognising fractions 1b Identifying numerators and

denominators

3 4th Grade -gt Fractions -gt Rewriting Fractions as Decimalsa Fractions as a division by 10 or 100b Fractions as a division by a multiple of

10

4 4th Grade -gt Fractions -gt Decimals and Fractionsa Converting decimals to fractions 1

5 Arithmetic -gt Decimals -gt Conceptualizing Decimals and Place Notationa Writing and interpreting decimalsb Comparing decimal place value

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

12 Demonstrate equivalence between common simple fractions decimals and percentages by conversion eg 12 = 05 = 50

1 Pre-Algebra -gt Decimals -gt Converting between Fractions and Decimals

a Converting fractions to decimalsb Converting decimals to fractions 1c Converting decimals to fractions 2

2 Pre-Algebra -gt Decimals -gt Intro to Percentages

a Converting decimals to percentsb Converting percents to decimals

1 Fractions to percentages2Percentages to fractions3Simple equivalent fractions

decimals amp percentages

1 Pre-Algebra -gt Fractions -gt Dividing Fractions

a Understanding fractions as division

2 Pre-Algebra -gt Decimals -gt Moving the Decimal to Multiply and Divide by 10

a Fractions as a division by 10 or 100b Understanding moving the decimal

3 Pre-Algebra -gt Decimals -gt Conceptualizing Decimals and Place Notationa Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

4 Pre-Algebra -gt Decimals -gt Intro to Percentages

series of videos

13 Express simple ratios as fractional ratios eg1 2 = 13 23

1 Pre-Algebra -gt Ratios Proportions Units and Rates -gt Ratios and Proportions

26th Grade -gt Ratios Rates and Percentages -gt Ratios

a Representing ratios

2 6th Grade -gt Ratios Rates and Percentages -gt Ratio Word Problemsa Ratio word problemsb Solving ratio problems with tables

1 Expressing ratios as fractional ratios

1 Pre-Algebra -gt Fractions -gt Dividing Fractions

a Understanding fractions as division

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

14 Give approximations by using strategies including significant figures and rounding off large natural numbers

1 3rd Grade -gt Place Value and Rounding -gt Rounding

a Rounding to the nearest ten or hundred

2 Pre-Algebra -gt Arithmetic Properties -gt Rounding Whole Numbers

a Rounding whole numbers

3 5th Grade -gt Place Value and Decimals -gt Rounding Decimals

a Rounding decimalsb Rounding decimals 2

4 Arithmetic -gt Decimals -gt Estimating and Rounding with Decimalsa Rounding decimals

5 Arithmetic -gt Decimals -gt Significant Figuresa Significant figures

1 Approximating using rounding and significant figures (large natural numbers)

1 Pre-Algebra -gt Arithmetic Properties -gt Place Value

a Place valueb Understanding place value

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

15 Use a calculator to perform operations requiring functions such as addition subtraction multiplication division percent memory keys and the clear key

1 Using the calculator for basic functions

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

1 Early Math -gt Addition and Subtraction -gt Basic Addition and Subtraction

a Addition within 5b Subtraction within 5c Put togetherd Take aparte Making 5

2 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 10a Making totals in different ways

within 10b Making tenc Making ten 2d Addition word problems within 10e Relate addition and subtractionf Addition and subtraction within 10g Subtraction word problems within

10

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

3 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 20a Addition within 20b Subtraction within 20c Addition and subtraction word

problems within 20 Level 1d Addition and subtraction word

problems within 20 Level 2e Addition and subtraction word

problems within 20 Level 3f Addition and subtraction word

problems within 20 Level 4g Adding three numbersh Meaning of equal sign 1

4 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 100a Add within 100 Level 1b Add within 100 Level 2c Addition within 100d Subtract within 100 Level 1e Subtract within 100 Level 2f Subtract within 100g Addition using groups of 10 Level 1h Addition using groups of 10 Level

2i Addition and subtraction word

problems within 100 Level 1j Addition and subtraction word

problems within 100 Level 2k Addition and subtraction word

problems within 100 Level 3

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

l Addition and subtraction word problems within 100 Level 4

mAdding and subtracting on the number line word problems

5 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 1000 a Add within 1000 Level 1b Subtract within 1000 Level 1c Add within 1000 Level 2d Subtract within 1000 Level 2

6 Arithmetic -gt Addition and Subtraction -gt Addition with Carrying

a Addition within 100b Addition within 1000

7 Arithmetic -gt Addition and Subtraction -gt Subtraction with borrowing (regrouping)

a Subtraction within 100b Subtraction within 1000

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

8 3rd Grade -gt Multiplication and Division -gt Concept of Multiplication and Division

a Meaning of multiplicationb Multiplying 1-digit numbersc Meaning of divisiond Basic divisione 1-digit divisionf Relate division to multiplication

9 Arithmetic -gt Multiplication and Division -gt Starter Multiplication and Division Word Problems

a Multiplication and division word problems

10 3rd Grade -gt Multiplication and Division -gt Applying Multiplication and Divisiona Solving basic multiplication and

division equationsb Relating division to multiplication

word problemsc Multiplying by 2d Multiplying by 3e Multiplying by 4f Multiplying by 5 g Multiplying by 6h Multiplying by 7i Multiplying by 8j Multiplying by 9

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 4: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

12 Demonstrate equivalence between common simple fractions decimals and percentages by conversion eg 12 = 05 = 50

1 Pre-Algebra -gt Decimals -gt Converting between Fractions and Decimals

a Converting fractions to decimalsb Converting decimals to fractions 1c Converting decimals to fractions 2

2 Pre-Algebra -gt Decimals -gt Intro to Percentages

a Converting decimals to percentsb Converting percents to decimals

1 Fractions to percentages2Percentages to fractions3Simple equivalent fractions

decimals amp percentages

1 Pre-Algebra -gt Fractions -gt Dividing Fractions

a Understanding fractions as division

2 Pre-Algebra -gt Decimals -gt Moving the Decimal to Multiply and Divide by 10

a Fractions as a division by 10 or 100b Understanding moving the decimal

3 Pre-Algebra -gt Decimals -gt Conceptualizing Decimals and Place Notationa Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

4 Pre-Algebra -gt Decimals -gt Intro to Percentages

series of videos

13 Express simple ratios as fractional ratios eg1 2 = 13 23

1 Pre-Algebra -gt Ratios Proportions Units and Rates -gt Ratios and Proportions

26th Grade -gt Ratios Rates and Percentages -gt Ratios

a Representing ratios

2 6th Grade -gt Ratios Rates and Percentages -gt Ratio Word Problemsa Ratio word problemsb Solving ratio problems with tables

1 Expressing ratios as fractional ratios

1 Pre-Algebra -gt Fractions -gt Dividing Fractions

a Understanding fractions as division

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

14 Give approximations by using strategies including significant figures and rounding off large natural numbers

1 3rd Grade -gt Place Value and Rounding -gt Rounding

a Rounding to the nearest ten or hundred

2 Pre-Algebra -gt Arithmetic Properties -gt Rounding Whole Numbers

a Rounding whole numbers

3 5th Grade -gt Place Value and Decimals -gt Rounding Decimals

a Rounding decimalsb Rounding decimals 2

4 Arithmetic -gt Decimals -gt Estimating and Rounding with Decimalsa Rounding decimals

5 Arithmetic -gt Decimals -gt Significant Figuresa Significant figures

1 Approximating using rounding and significant figures (large natural numbers)

1 Pre-Algebra -gt Arithmetic Properties -gt Place Value

a Place valueb Understanding place value

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

15 Use a calculator to perform operations requiring functions such as addition subtraction multiplication division percent memory keys and the clear key

1 Using the calculator for basic functions

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

1 Early Math -gt Addition and Subtraction -gt Basic Addition and Subtraction

a Addition within 5b Subtraction within 5c Put togetherd Take aparte Making 5

2 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 10a Making totals in different ways

within 10b Making tenc Making ten 2d Addition word problems within 10e Relate addition and subtractionf Addition and subtraction within 10g Subtraction word problems within

10

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

3 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 20a Addition within 20b Subtraction within 20c Addition and subtraction word

problems within 20 Level 1d Addition and subtraction word

problems within 20 Level 2e Addition and subtraction word

problems within 20 Level 3f Addition and subtraction word

problems within 20 Level 4g Adding three numbersh Meaning of equal sign 1

4 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 100a Add within 100 Level 1b Add within 100 Level 2c Addition within 100d Subtract within 100 Level 1e Subtract within 100 Level 2f Subtract within 100g Addition using groups of 10 Level 1h Addition using groups of 10 Level

2i Addition and subtraction word

problems within 100 Level 1j Addition and subtraction word

problems within 100 Level 2k Addition and subtraction word

problems within 100 Level 3

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

l Addition and subtraction word problems within 100 Level 4

mAdding and subtracting on the number line word problems

5 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 1000 a Add within 1000 Level 1b Subtract within 1000 Level 1c Add within 1000 Level 2d Subtract within 1000 Level 2

6 Arithmetic -gt Addition and Subtraction -gt Addition with Carrying

a Addition within 100b Addition within 1000

7 Arithmetic -gt Addition and Subtraction -gt Subtraction with borrowing (regrouping)

a Subtraction within 100b Subtraction within 1000

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

8 3rd Grade -gt Multiplication and Division -gt Concept of Multiplication and Division

a Meaning of multiplicationb Multiplying 1-digit numbersc Meaning of divisiond Basic divisione 1-digit divisionf Relate division to multiplication

9 Arithmetic -gt Multiplication and Division -gt Starter Multiplication and Division Word Problems

a Multiplication and division word problems

10 3rd Grade -gt Multiplication and Division -gt Applying Multiplication and Divisiona Solving basic multiplication and

division equationsb Relating division to multiplication

word problemsc Multiplying by 2d Multiplying by 3e Multiplying by 4f Multiplying by 5 g Multiplying by 6h Multiplying by 7i Multiplying by 8j Multiplying by 9

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 5: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

14 Give approximations by using strategies including significant figures and rounding off large natural numbers

1 3rd Grade -gt Place Value and Rounding -gt Rounding

a Rounding to the nearest ten or hundred

2 Pre-Algebra -gt Arithmetic Properties -gt Rounding Whole Numbers

a Rounding whole numbers

3 5th Grade -gt Place Value and Decimals -gt Rounding Decimals

a Rounding decimalsb Rounding decimals 2

4 Arithmetic -gt Decimals -gt Estimating and Rounding with Decimalsa Rounding decimals

5 Arithmetic -gt Decimals -gt Significant Figuresa Significant figures

1 Approximating using rounding and significant figures (large natural numbers)

1 Pre-Algebra -gt Arithmetic Properties -gt Place Value

a Place valueb Understanding place value

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

15 Use a calculator to perform operations requiring functions such as addition subtraction multiplication division percent memory keys and the clear key

1 Using the calculator for basic functions

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

1 Early Math -gt Addition and Subtraction -gt Basic Addition and Subtraction

a Addition within 5b Subtraction within 5c Put togetherd Take aparte Making 5

2 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 10a Making totals in different ways

within 10b Making tenc Making ten 2d Addition word problems within 10e Relate addition and subtractionf Addition and subtraction within 10g Subtraction word problems within

10

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

3 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 20a Addition within 20b Subtraction within 20c Addition and subtraction word

problems within 20 Level 1d Addition and subtraction word

problems within 20 Level 2e Addition and subtraction word

problems within 20 Level 3f Addition and subtraction word

problems within 20 Level 4g Adding three numbersh Meaning of equal sign 1

4 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 100a Add within 100 Level 1b Add within 100 Level 2c Addition within 100d Subtract within 100 Level 1e Subtract within 100 Level 2f Subtract within 100g Addition using groups of 10 Level 1h Addition using groups of 10 Level

2i Addition and subtraction word

problems within 100 Level 1j Addition and subtraction word

problems within 100 Level 2k Addition and subtraction word

problems within 100 Level 3

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

l Addition and subtraction word problems within 100 Level 4

mAdding and subtracting on the number line word problems

5 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 1000 a Add within 1000 Level 1b Subtract within 1000 Level 1c Add within 1000 Level 2d Subtract within 1000 Level 2

6 Arithmetic -gt Addition and Subtraction -gt Addition with Carrying

a Addition within 100b Addition within 1000

7 Arithmetic -gt Addition and Subtraction -gt Subtraction with borrowing (regrouping)

a Subtraction within 100b Subtraction within 1000

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

8 3rd Grade -gt Multiplication and Division -gt Concept of Multiplication and Division

a Meaning of multiplicationb Multiplying 1-digit numbersc Meaning of divisiond Basic divisione 1-digit divisionf Relate division to multiplication

9 Arithmetic -gt Multiplication and Division -gt Starter Multiplication and Division Word Problems

a Multiplication and division word problems

10 3rd Grade -gt Multiplication and Division -gt Applying Multiplication and Divisiona Solving basic multiplication and

division equationsb Relating division to multiplication

word problemsc Multiplying by 2d Multiplying by 3e Multiplying by 4f Multiplying by 5 g Multiplying by 6h Multiplying by 7i Multiplying by 8j Multiplying by 9

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 6: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

15 Use a calculator to perform operations requiring functions such as addition subtraction multiplication division percent memory keys and the clear key

1 Using the calculator for basic functions

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

1 Early Math -gt Addition and Subtraction -gt Basic Addition and Subtraction

a Addition within 5b Subtraction within 5c Put togetherd Take aparte Making 5

2 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 10a Making totals in different ways

within 10b Making tenc Making ten 2d Addition word problems within 10e Relate addition and subtractionf Addition and subtraction within 10g Subtraction word problems within

10

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

3 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 20a Addition within 20b Subtraction within 20c Addition and subtraction word

problems within 20 Level 1d Addition and subtraction word

problems within 20 Level 2e Addition and subtraction word

problems within 20 Level 3f Addition and subtraction word

problems within 20 Level 4g Adding three numbersh Meaning of equal sign 1

4 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 100a Add within 100 Level 1b Add within 100 Level 2c Addition within 100d Subtract within 100 Level 1e Subtract within 100 Level 2f Subtract within 100g Addition using groups of 10 Level 1h Addition using groups of 10 Level

2i Addition and subtraction word

problems within 100 Level 1j Addition and subtraction word

problems within 100 Level 2k Addition and subtraction word

problems within 100 Level 3

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

l Addition and subtraction word problems within 100 Level 4

mAdding and subtracting on the number line word problems

5 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 1000 a Add within 1000 Level 1b Subtract within 1000 Level 1c Add within 1000 Level 2d Subtract within 1000 Level 2

6 Arithmetic -gt Addition and Subtraction -gt Addition with Carrying

a Addition within 100b Addition within 1000

7 Arithmetic -gt Addition and Subtraction -gt Subtraction with borrowing (regrouping)

a Subtraction within 100b Subtraction within 1000

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

8 3rd Grade -gt Multiplication and Division -gt Concept of Multiplication and Division

a Meaning of multiplicationb Multiplying 1-digit numbersc Meaning of divisiond Basic divisione 1-digit divisionf Relate division to multiplication

9 Arithmetic -gt Multiplication and Division -gt Starter Multiplication and Division Word Problems

a Multiplication and division word problems

10 3rd Grade -gt Multiplication and Division -gt Applying Multiplication and Divisiona Solving basic multiplication and

division equationsb Relating division to multiplication

word problemsc Multiplying by 2d Multiplying by 3e Multiplying by 4f Multiplying by 5 g Multiplying by 6h Multiplying by 7i Multiplying by 8j Multiplying by 9

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 7: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

3 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 20a Addition within 20b Subtraction within 20c Addition and subtraction word

problems within 20 Level 1d Addition and subtraction word

problems within 20 Level 2e Addition and subtraction word

problems within 20 Level 3f Addition and subtraction word

problems within 20 Level 4g Adding three numbersh Meaning of equal sign 1

4 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 100a Add within 100 Level 1b Add within 100 Level 2c Addition within 100d Subtract within 100 Level 1e Subtract within 100 Level 2f Subtract within 100g Addition using groups of 10 Level 1h Addition using groups of 10 Level

2i Addition and subtraction word

problems within 100 Level 1j Addition and subtraction word

problems within 100 Level 2k Addition and subtraction word

problems within 100 Level 3

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

l Addition and subtraction word problems within 100 Level 4

mAdding and subtracting on the number line word problems

5 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 1000 a Add within 1000 Level 1b Subtract within 1000 Level 1c Add within 1000 Level 2d Subtract within 1000 Level 2

6 Arithmetic -gt Addition and Subtraction -gt Addition with Carrying

a Addition within 100b Addition within 1000

7 Arithmetic -gt Addition and Subtraction -gt Subtraction with borrowing (regrouping)

a Subtraction within 100b Subtraction within 1000

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

8 3rd Grade -gt Multiplication and Division -gt Concept of Multiplication and Division

a Meaning of multiplicationb Multiplying 1-digit numbersc Meaning of divisiond Basic divisione 1-digit divisionf Relate division to multiplication

9 Arithmetic -gt Multiplication and Division -gt Starter Multiplication and Division Word Problems

a Multiplication and division word problems

10 3rd Grade -gt Multiplication and Division -gt Applying Multiplication and Divisiona Solving basic multiplication and

division equationsb Relating division to multiplication

word problemsc Multiplying by 2d Multiplying by 3e Multiplying by 4f Multiplying by 5 g Multiplying by 6h Multiplying by 7i Multiplying by 8j Multiplying by 9

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 8: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

l Addition and subtraction word problems within 100 Level 4

mAdding and subtracting on the number line word problems

5 Early Math -gt Addition and Subtraction -gt Addition and Subtraction within 1000 a Add within 1000 Level 1b Subtract within 1000 Level 1c Add within 1000 Level 2d Subtract within 1000 Level 2

6 Arithmetic -gt Addition and Subtraction -gt Addition with Carrying

a Addition within 100b Addition within 1000

7 Arithmetic -gt Addition and Subtraction -gt Subtraction with borrowing (regrouping)

a Subtraction within 100b Subtraction within 1000

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

8 3rd Grade -gt Multiplication and Division -gt Concept of Multiplication and Division

a Meaning of multiplicationb Multiplying 1-digit numbersc Meaning of divisiond Basic divisione 1-digit divisionf Relate division to multiplication

9 Arithmetic -gt Multiplication and Division -gt Starter Multiplication and Division Word Problems

a Multiplication and division word problems

10 3rd Grade -gt Multiplication and Division -gt Applying Multiplication and Divisiona Solving basic multiplication and

division equationsb Relating division to multiplication

word problemsc Multiplying by 2d Multiplying by 3e Multiplying by 4f Multiplying by 5 g Multiplying by 6h Multiplying by 7i Multiplying by 8j Multiplying by 9

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 9: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

8 3rd Grade -gt Multiplication and Division -gt Concept of Multiplication and Division

a Meaning of multiplicationb Multiplying 1-digit numbersc Meaning of divisiond Basic divisione 1-digit divisionf Relate division to multiplication

9 Arithmetic -gt Multiplication and Division -gt Starter Multiplication and Division Word Problems

a Multiplication and division word problems

10 3rd Grade -gt Multiplication and Division -gt Applying Multiplication and Divisiona Solving basic multiplication and

division equationsb Relating division to multiplication

word problemsc Multiplying by 2d Multiplying by 3e Multiplying by 4f Multiplying by 5 g Multiplying by 6h Multiplying by 7i Multiplying by 8j Multiplying by 9

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 10: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

k Dividing by 2l Dividing by 3m Dividing by 4n Dividing by 5o Dividing by 6p Dividing by 7q Dividing by 8r Dividing by 9s Dividing by 10t Whole numbers on the number

line

11 3rd Grade -gt Multiplication and Division -gt Two-step Word Problemsa Two-step word problems with

addition subtraction multiplication and division

12 3rd Grade -gt Multiplication and Division -gt Multiplying by Tensa Multiply by tensb Multiply by tens word problems

13 3rd Grade -gt Expressions and Patterns

a Properties of multiplicationb Math patterns 1c Patterns in multiplication tables

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 11: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

14 4th Grade -gt Multiplication and Division -gt Multiplicationa Multiplication without carryingb Multiplication with carryingc Multiplication using place value

understandingd Multiplying 2 digits by 2 digits

15 4th Grade -gt Multiplication and Division -gt Multiplying Using Grids and Area Models to Visualizea Multiplying 4 digits by 1 digit with

visual modelsb Multiplying 2 digits by 2 digits

with area models

16 4th Grade -gt Multiplication and Division -gt Comparing with Multiplicationa Comparing with multiplicationb Comparing with multiplication word

problemsc Multiplication and division word

problems

17 4th Grade -gt Multiplication and Division -gt Division

a Multi-digit division without remainders

b Division using place value understanding

c Multi-digit division with visual models

d Division with remainders

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 12: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to natural numbers (N)

18 4th Grade -gt Multiplication and Division -gt Multiplication Division Word Problems

a Multi-step word problems with whole numbers

19 5th Grade -gt Arithmetic Operations -gt Dividing by Two Digitsa Division by 2 digits

20 Arithmetic -gt Multiplication and Division -gt Loooong Divisiona Multi-digit division

21 Arithmetic -gt Multiplication and Division -gt Multi-digit Multiplicationb Multi-digit multiplication

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

1 7th Grade -gt Negative Numbers -gt Adding and Subtracting Negative Numbersa Adding negative numbers b Understanding addition and

subtraction with negative numbers c Adding and subtracting negative

numbersd Interpreting negative numberse Adding and Subtracting negative

number word problems

1 6th Grade -gt Negative Numbers -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number oppositese Decimals on the number line 3f Positive and negative fractions on the

number lineg Comparing positive and negative

numbers on the number lineh Interpreting negative numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 13: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to integers (Z)

2 7th Grade -gt Negative Numbers -gt Multiplying and Dividing Negative Numbers a Rules for multiplying and dividing

negative numbersb Dividing by zeroc Multiplying and dividing negative

numbers

3 7th Grade -gt Negative Numbers -gt Absolute Value

a Constructing and interpreting absolute value

4 7th Grade -gt Negative Numbers -gt Thinking About the Number Line

a Understanding adding and subtracting with negative numbers

26th Grade -gt Negative Numbers -gt Absolute Value

a Finding absolute valuesbComparing absolute valuesc Interpreting absolute valued Sorting rational numbers

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 14: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

1 4th Grade -gt Fractions -gt Adding Fractions with Common Denominators

a Adding fractions with common denominators

b Subtracting fractions with common denominators

2 4th Grade -gt Fractions -gt Word Problems Adding and Subtracting Fractionsa Using fractions to divide pizzas

pies and cakesb Adding and subtractions with like

denominators word problems

3 4th Grade -gt Fractions -gt Mixed Numbersa Adding and subtracting mixed

numbers with like denominators

4 4th Grade -gt Fractions -gt Adding Fractions with Unlike Denominatorsa Adding fractions with 10 and 100

as denominators

5 5th Grade -gt Fractions -gt Adding and Subtracting Fractionsa Adding fractions with unlike

denominatorsb Subtracting fractions with unlike

denominators

1 Early Math -gt Geometry -gt Composing Shapes

a Halves and fourthsb Filling rectangles with same-sized squaresc Equal parts of circles and rectangles

23rd Grade -gt Measurement and Geometry -gt Shapes

a Cutting shapes into equal parts

3 3rd Grade -gt Fractions -gt What Fractions Meana Recognizing fractions 1b Recognizing fractions 2c Fractions on the number line 1d Fractions on the number line 2e Finding 1 on the number line

4 3rd Grade -gt Fractions -gt Comparing Fractionsa Equivalent fraction modelsb Equivalent fractions on the number linec Identifying numerators and

denominatorsd Comparing fractions with the same

denominatore Comparing fractions with the same

numeratorf Naming the whole

5 4th Grade -gt Fractions -gt Equivalent Fractionsa Visualising equivalent fractionsb Equivalent fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 15: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

6 Pre-Algebra -gt Fractions -gt Mixed Number Addition and Subtraction

a Adding and subtracting mixed numbers with like denominatorsb Adding and subtracting mixed numbers with unlike denominators

7 5th Grade -gt Fractions -gt More Adding and Subtracting Fractions and Mixed Fractionsa Adding and subtracting fractions

with unlike denominators word problems

b Adding and subtracting mixed numbers with unlike denominators

8 4th Grade -gt Fractions -gt Multiplying Whole Numbers and Fractionsa Understanding multiplying fractions

and whole numbersb Multiplying fractions by whole

numbersc Multiplying fractions and whole

numbers word problems

9 5th Grade -gt Fractions -gt Multiplying Fractionsa Multiplying fractions by whole

numbersb Understanding multiplying fractions

by fractionsc Multiplying positive fractions d Fraction multiplication as scalinge Multiplying mixed numbers

6 4th Grade -gt Fractions -gt Comparing Fractionsa Comparing fractions with different

numerators and denominatorsb Ordering fractions

7 Pre-Algebra -gt Fractions -gt Visualizing Equivalent Fractionsa Visualizing equivalent fractionsb Fractions cut and copy 1

8 Pre-Algebra -gt Fractions -gt Equivalent fractions and simplified formc Simplifying fractionsd Equivalent fractions e Equivalent fractions 2

9 Pre-Algebra -gt Fractions -gt Decomposing Fractionsa Decomposing fractions

10 Pre-Algebra -gt Fractions -gt Mixed Numbers and Improper Fractionsa Converting mixed numbers and

improper fractionsb Fractions on the number line 2c Comparing improper fractions and

mixed numbersd Fractions cut and copy 2e Positive and negative fractions on the

number line

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 16: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

10 5th Grade -gt Fractions -gt Dividing Fractionsa Understanding fractions as divisionb Dividing fractions by whole

numbersc Dividing whole numbers by

fractionsd Division with fractions and whole

numbers word problems

11 5th Grade -gt Fractions -gt Multiplying Fractions Word Problemsa Multiplying fractions and whole

numbers word problemsb Multiplying fractions by fractions

word problems

12 6th Grade -gt Arithmetic Operations -gt Dividing Fractions by Fractionsa Understanding dividing fractions by fractionsc Dividing positive fractionsd Dividing fractions by fractions

word problems

13 7th Grade -gt Fractions and Decimals -gt Adding and Subtracting Fractionsa Adding and subtracting fractions

with unlike denominators

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 17: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to simple fractions

14 7th Grade -gt Fractions and Decimals -gt Multiplying and Dividing Fractionsa Multiplying positive and negative

fractionsb Dividing positive and negative

fractions

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 18: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

1 Arithmetic -gt Decimals -gt Adding and Subtracting Decimalsa Adding decimals 05b Adding decimals 1c Subtracting decimals 05d Subtracting decimals

2 6th Grade -gt Arithmetic Operations -gt Adding and Subtracting Decimalsa Adding decimals 2b Subtracting decimals 2c Adding and subtracting decimals

word problems

3 Arithmetic -gt Decimals -gt Multiplying Decimals

a Multiplying decimals 1b Multiplying decimals 2

4 6th Grade -gt Arithmetic Operations -gt Multiplying Decimalsa Multiplying decimals 3

5 Arithmetic -gt Decimals -gt Dividing Decimalsa Dividing completelyb Dividing decimals 1c Dividing decimals 2d Dividing decimals 3e Dividing decimals 4

1 5th Grade -gt Place Value and Decimals -gt Decimal and Place Value Conceptualizing

a Writing and interpreting decimalsb Comparing decimal place valuec Money and decimal place value intuition

2 5th Grade -gt Place Value and Decimals -gt Regrouping Decimal Numbers

a Regrouping whole numbersb Regrouping decimals

3 Arithmetic -gt Decimals -gt Decimals on the Number Linea Decimals on the number line 1b Decimals on the number line 2c Decimals on the number line 3

4 Arithmetic -gt Decimals -gt Comparing Decimalsa Comparing decimals 1

5 5th Grade -gt Place Value and Decimals -gt Comparing Decimalsa Comparing decimals 2b Ordering decimals

6 5th Grade -gt Place Value and Decimals -gt Multiplication by Powers of Tena Powers of tenb Patterns in zero

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 19: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

1 Number

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

16 Demonstrate accuracy of calculation by applying the principal mathematical functions ie addition subtraction multiplication division to decimal numbers to two decimal places

7 6th Grade -gt Arithmetic Operations -gt Dividing Whole Numbers and Decimalsa Division by 2 digitsb Multi-digit division

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 20: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

1 3rd Grade -gt Measurement and Geometry -gt Shapes

a Categorize quadrilaterals

24th Grade -gt Geometry -gt Angles

a Naming anglesb Understanding anglesc Measuring anglesd Drawing angles

3 4th Grade -gt Geometry -gt Interpreting and Constructing Anglesa Angle types b Recognizing anglesc Drawing right acute and obtuse

anglesd Benchmark anglese Recognizing parallel and

perpendicular linesf Decomposing angles

4 4th Grade -gt Geometry -gt Line of Symmetrya Axis of symmetry

1 Describing a square rectangle circle cylinder using terminology around angles bisects radius parallel perpendicular etc

1 Early Math -gt Geometry -gt Recognizing Shapes

a Naming shapesb Naming shapes 2c Comparing shapesd Attributes of shapese Recognizing shapes

2 Early Math -gt Geometry -gt Composing Shapesa Composing shapes

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 21: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

21 Describe shape and space constructs using language appropriate to shape and space to include square rectangle circle cylinder angles bisect radius parallel perpendicular etc

5 4th Grade -gt Geometry -gt Classifying Geometric Shapesa Quadrilateral typesb Recognizing triangle typesc Classifying shapes by line and

angle types

6 5th Grade -gt Geometry -gt Quadrilateralsa Quadrilateral typesb Properties of shapes

7 Basic Geometry -gt Shapes -gt Finding Angles in Shapesa Triangle angles 1

8 Geometry -gt Circles -gt Geometric Modelsa Geometric descriptions of

everyday objects

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Radius diameter and circumference

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 22: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

22 Draw everyday objects to scale using a range of mathematical instruments

1 7th Grade -gt Geometry -gt Scale Drawingsa Interpreting scale drawingsbConstructing scale drawings

1 Draw everyday objects to scale

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

1 3rd Grade -gt Measurement and Geometry -gt Area

a Finding area by multiplyingb Comparing area by multiplyingc Area and the distributive propertyd Decompose shapes to find area

1 3rd Grade -gt Measurement and Geometry -gt Area

a Understanding areab Measuring area with unit squares

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 23: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

2 Measurement and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

23 Calculate the area of a square rectangle triangle and circle using the correct formula and giving the answer in the correct form

2 4th Grade -gt Measurement an Data -gt Area and Perimeter

a Area problemsb Area and perimeter of rectangles word

problems

3 6th Grade -gt Geometry -gt Finding Areaa Area of trianglesb Area of triangles 2c Area of parallelogramsd Area of trapezoids rhombi and kitese Finding area by composing and

decomposing shapesf Area of quadrilaterals and polygons

4 7th Grade -gt Geometry -gt Area and Circumference of Circles

a Area of a circleb Area and circumference of circles

2 3rd Grade -gt Measurement and Geometry -gt Perimeter

a Perimeter 1b Perimeter 2c Finding perimeterd Comparing area and perimeter

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 24: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

24 Calculate the volume of a cylinder and cone using the correct formula and giving the answer in the correct form

1 8th Grade -gt Geometry -gt Volume

a Solid geometry b Volume word problems with cones cylinders and spheres

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit cubesc Volume 1d Volume word problems

3 6th Grade -gt Geometry -gt Volume and Surface Area

a Volume with fractionsb Volume with unit cubes 2c Volume word problems with fractions

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different units

b Measuring lengths 1c Measuring lengths 2d Comparing lengthse Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

1 Measuring distance 1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 25: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure lengthdistance

3 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

4 5th Grade -gt Measurement and Data -gt Unit Measurement Word Problemsa Converting measurements word

problems

1 Measuring distance

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure capacity

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with volume

2 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurement

a Converting to smaller units word problems (metric)

2 5th Grade -gt Measurement and Data -gt Volume

a Volume with unit cubes 1b Comparing volumes with unit

cubesc Volume 1d Volume word problems

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 26: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure weight

1 3rd Grade -gt Measurement and Geometry -gt Mass and Volume

a Arithmetic word problems with mass

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurementa Converting to smaller units word

problems (metric)

25 Demonstrate metric measurement skills using the correct measurement instrument and vocabulary appropriate to the measurement to accurately measure time

1 Early Math -gt Measurement and Data -gt Time and Money

a Telling time with a labelled clockb Telling time without labels

2 3rd Grade -gt Measurement and Geometry -gt Telling Time

a Telling time word problems with the number line

b Telling time word problems

3 4th Grade -gt Measurement and Data -gt Word Problems Moving Between Units of Measurements

a Time word problems

1 Digital clock224hr clock

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 27: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

2 Measurement

and Capacity

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

26 Use simple scaled drawings to work out real distance location and direction

1 7th Grade -gt Geometry -gt Scale Drawings

a Interpreting scale drawingsbConstructing scale drawings

1 Scaled maps for distance location and direction

1 Early Math -gt Measurement and Data -gt Measurement

a Measuring lengths with different unitsb Comparing sizec Order by length d Measuring lengths 1e Measuring lengths 2f Comparing lengthsg Length word problems

2 4th Grade -gt Measurement and Data -gt Measuring with Metric and US Customary UnitsIntro

a Unit sense

3 4th Grade -gt Measurement and Data -gt Unit Conversiona Converting to smaller units

4 5th Grade -gt Measurement and Data -gt Unit Conversiona Converting units

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 28: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

31 Describe familiar real life situations in algebraic form

1 Algebra I -gt Introduction to Algebra -gt Writing and Interpreting Expressions

a Writing expressionsb Writing expressions 2c Interpreting linear expressions

2 Algebra I -gt Introduction to Algebra -gt Working with Units Algebraically

a Working with units algebraicallyb Defining appropriate unitsc Measurement precision

3 Algebra I -gt Linear Equations -gt Super Yoga Plans

a Constructing linear equations word problems

4 Algebra I -gt Linear Equations -gt Age Word Problemsa Age word problems

5 Algebra I -gt Linear Equations -gt Linear Equation Word Problemsa Linear equation word problems

1 Create equations relevant to studentrsquos own life

1 Pre-algebra -gt Arithmetic Properties -gt Order of Operationsa Order of operationsb Order of operations with negative

numbers

2 Pre-algebra -gt Arithmetic Properties -gt The Distributive Property

a Distributive property

3 Pre-algebra -gt Applying Mathematical Reasoning -gt Constructing Numeric Expressionsa Expressions with parenthesesb Creating expressions with parentheses

4 Algebra I -gt Introduction to Algebra -gt Overview and History of Algebra(videos)

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 29: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 Simplify basic algebraic expressions by applying the principal mathematical functions ie addition subtraction multiplication division to algebraic expressions of 1 or 2 variables

1 Pre-algebra -gt Arithmetic Properties -gt The Distributive Propertya Distributive property

2 Pre-algebra -gt Arithmetic Properties -gt Arithmetic Propertiesvideos

3 Algebra I -gt Introduction to Algebra -gt Manipulating Expressionsa Combining like termsb Combining like terms with

distributionc Equivalent forms of expressions 1

1 Simplify expressions with addition and subtractions with 2 variables

2Simplify expressions with multiplication with 1 variable

3Simplify expressions with division with 1 variable

4Simplify expressions with multiplication with 2 variables

5Simplify expressions with division with 2 variables

1 Pre-algebra -gt Negative Numbers and Absolute Value -gt Negative Number Basics

a Negative numbers on the number lineb Negative numbers on the number line

without reference zeroc Ordering negative numbersd Number opposites

2 Pre-algebra -gt Negative Numbers and Absolute Value -gt Adding and Subtracting Negative Numbers

a Number oppositesb Adding negative numbersc Adding and subtracting negative

numbersd Interpreting negative numbers

3 Pre-algebra -gt Negative Numbers and Absolute Value -gt Multiplying and Dividing Negative Numbers

a Multiplying and dividing negative numbers

4 Pre-algebra -gt Factors and Multiples -gt Divisibility Testsa Divisibility tests

5 Pre-algebra -gt Factors and Multiples -gt Divisibility and Factorsa Divisibility intuitionb Factor pairsc Identifying factors and multiples

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 30: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

32 6 Pre-algebra -gt Factors and Multiples -gt Prime Numbersa Prime numbersb Composite Numbers

7 Pre-algebra -gt Factors and Multiples -gt Prime Factorizationa Prime factorizationb The fundamental theorem of arithmeticc Divisibility

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

1 Algebra I -gt Introduction to Algebra -gt Variables and Expressions

a Evaluating expressions in one variable

b Evaluating expressions in 2 variables

c Evaluating expressions with variables word problems

2 Algebra I -gt Introduction to Algebra -gt The Why of Algebra

a One step equation intuition

3 Algebra I -gt Introduction to Algebra -gt Getting the Feel for Equations and Inequalities

a Solving equations and inequalities through substitution

b Dependent and independent variables

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 31: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

3 Algebra Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

33 Solve basic algebraic equations of 1 variable by using the variable to solve mathematical problems where the solution is N

4 Algebra I -gt Linear Equations -gt Equations for Beginnersa One-step equations with

multiplicationb One step equationsc Two-step equations

5 Algebra I -gt Linear Equations -gt More Fancy Equations for Beginners a Equations with variables on both

sidesb Understanding the process for

solving linear equations

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 32: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

4 Data Handling

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

41 Describe the presence of data in everyday situations

1 Where do we seeuse data

42 Conduct a simple survey using a variety of data collection methods

1 Data collection

43 Display data using appropriate classifications on bar charts or pie charts

1 Early Math -gt Measurement and Data -gt Data

a Making line plots bar graphs and picture graphs

2 3rd Grade -gt Measurement and Geometry -gt Data

a Create picture and bar graphs 2

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Creating bar charts

1 Display collected data2 Reading pie charts3 Creating pie charts

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

44 Describe findings to include interpretation of results and suggesting reasons for findings

1 Early Math -gt Measurement and Data -gt Data

a Solving problems with bar graphs 1b Solving problems with bar graphs 2

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with bar graphs 3

3 6th Grade -gt Data and Statistics -gt Bar Charts

a Reading bar charts 1b Reading bar charts 2

1 Interpret collected data results2Discuss findings

1 Early Math -gt Measurement and Data -gt Data

a Sort by count or categoryb Solving problems with picture graphs 1c Solving problems with line plots 1

2 3rd Grade -gt Measurement and Geometry -gt Data

a Solving problems with picture graphs 2

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work

Page 33: Mapping Fetac & Khan - Level 3mathletes.ie/.../11/Mapping-Fetac-Khan-Level-3-3.pdf · Below is a mapping of FETAC Level 3 Mathematics 3N0929 to Khan Academy. This document is laid

5 Problem Solving

Learning Outcome

Khan Academy Additional Worksheets Required

Base Knowledge that can be explored on Khan Academy

51 Describe everyday situations in terms of quantitative descriptions

1 Project work

52 Calculate solutions to real life quantitative problems by applying appropriate mathematical techniques

1 Project work

53 Describe how a quantitative solution to a problem may be applied in a limited range of contexts

1 Project work