Unit 1 : Addition and Subtraction with Fractions Unit 1 Overview MATH Grade 5 Unit 1 : Addition and Subtraction with Fractions Time Frame: 20 Days Key Vocabulary: denominator, fraction,

$Page 1: Unit 1 : Addition and Subtraction with Fractions Unit 1 Overview MATH Grade 5 Unit 1 : Addition and Subtraction with Fractions Time Frame: 20 Days Key Vocabulary: denominator, fraction,$
Math Unit 1 Overview

MATH

Grade 5

Unit 1 : Addition and Subtraction with Fractions

Time Frame: 20 Days

Key Vocabulary: denominator, fraction, numerator, unit fraction, equivalent fractions, multiplier, n-split, simplify, unsimplify, benchmark, common denominator, common factor, greater than >, less than <, mixed number, add on, regroup, ungroup, line plot, estimate, round, situation equation, solution equation

Essential Questions:

Why do we need to add and subtract fractions?

What is the relationship between fractions and whole numbers?

Big Ideas:

Equivalent Fractions

Addition and Subtraction with Fractions

Suggested Mentor Texts:

Polar Bear Math: Learning About Fractions with Klondike and Snow, by Ann Whitehead and Cindy Bickel

Working with Fractions, by David A. Adler

Technology:

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Common Core State Standards Teaching Points/Lesson Activity Description Assessment

Mathematical Content

CCSS.MATH.CONTENT.5.NF.A.1

Add and subtract fractions with unlike

denominators (including mixed numbers) by

replacing given fractions with equivalent fractions

in such a way as to produce an equivalent sum or

difference of fractions with like denominators.

Introduce the MathBoard: Use the MathBoard fraction bars to discuss basic fraction ideas.

Explain Equivalent Fractions: Generate and explain simple equivalent fractions.

Equivalent Fractions and Multipliers: Understand the role of the multiplier in equivalent fractions.

Initial Assessment – Form A pre-test

Formative Assessments–Quick quizzes

p. 4, 14, 22, 32, 40, 48, 58, 64, 72, 78, 84, 90, 96


Solve word problems involving addition and

subtraction of fractions referring to the same

whole, including cases of unlike denominators,

e.g., by using visual fraction models or equations

to represent the problem. Use benchmark

fractions and number sense of fractions to

estimate mentally and assess the

reasonableness of answers.

CCSS.MATH.CONTENT.5.MD.B.2

Make a line plot to display a data set of

measurements in fractions of a unit (1/2, 1/4,

1/8). Use operations on fractions for this grade to

solve problems involving information presented in

line plots.

Mathematical Practice

CC.K-12.MP.1 Make sense of problems and persevere in solving them

CC.K-12.MP.2 Reason abstractly and quantitatively

CC.K-12.MP.3 Construct viable arguments and critique the reasoning of others

CC.K-12.MP.4 Model with mathematics

CC.K-12.MP.5 Use appropriate tools

CC.K-12.MP.6 Attend to precision

Strategies for Comparing Fractions: Use a variety of strategies to compare fractions.

Fractions Greater than One: Convert between fractions and mixed numbers

Add and Subtract Like Mixed Numbers: Add and subtract mixed numbers with like denominators

Add Unlike Fractions: Add fractions with different denominators

Subtract Unlike Fractions: Subtract fractions with different denominators

Solve with Unlike Mixed Numbers: Add and subtract mixed numbers with unlike denominators

Practice with Unlike Mixed Numbers: Add and subtract mixed numbers with unlike denominators

Reasonable Answers: Estimate sums and differences of fractions and mixed numbers, and decide whether answers are reasonable

Real World Problems: Use estimates to determine whether answers to word problems are reasonable

Math Writing Prompts

End of Unit Assessment – Form A assessment

Performance Task if created.

CC.K-12.MP.7 Look for and make use of structure

CC.K-12.MP.8 Look for and express regularity in repeated reasoning


MATH

Grade 5

Unit 2 : Addition and Subtraction with Decimals

Time Frame: 17 Days

Key Vocabulary: decimal, tenth, hundredth, thousandth, notation, standard form, word form, expanded form, power of ten, equivalent decimal, meter (m), decimeter (dm), centimeter (cm), millimeter (mm), grouping, ungrouping, break apart drawing, ungroup, Commutative Property of Addition, Associative Property of Addition, Distributive Property of Multiplication over Addition, round, estimate


Why are decimals necessary in everyday situations?

How are decimals related to whole numbers?

Why is place value important when representing and computing whole numbers and

decimals?

How do we record and interpret numerical expressions?

Big Ideas:

Read and Write Whole Numbers and Decimals

Addition and Subtraction

Round and Estimate with Decimals


Sold! A Mathematics Adventure by Nathan Nimelman

Technology:

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CCSS.MATH.CONTENT.5.NBT.A.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it

Decimals as Equal Divisions: Understand decimals as equal divisions of a whole.


represents in the place to its right and 1/10 of what it represents in the place to its left.

CCSS.MATH.CONTENT.5.NBT.A.3

Read, write, and compare decimals to

thousandths.

CCSS.MATH.CONTENT.5.NBT.A.3.A

Read and write decimals to thousandths using

base-ten numerals, number names, and

expanded form, e.g., 347.392 = 3 × 100 + 4 × 10

+ 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

CCSS.MATH.CONTENT.5.NBT.A.3.B

Compare two decimals to thousandths based on

meanings of the digits in each place, using >, =,

and < symbols to record the results of

comparisons.


Use place value understanding to round decimals

to any place.

CCSS.MATH.CONTENT.5.NBT.B.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Thousands to Thousandths: Read, write, and model whole and decimal numbers.

Equate and Compare Thousandths: Model and identify equivalent fractions.

Adding and Subtracting Decimals: Model adding and subtracting decimals.

Add Whole Numbers and Decimals: Add whole numbers and decimals to hundredths.

Subtract Whole and Decimal Numbers: Subtract whole and decimal numbers to hundredths.

Properties and Strategies: Use the Commutative, Associative, and Distributive Properties to compute mentally.

Round and Estimate with Decimals: Estimate decimal sums and differences.

Graph with Decimal Numbers: Read and construct graphs with decimal scales and decimal numbers.

Focus on Mathematical Practices: Use the Common Core State Standards and Practices in a variety of real world problem solving situations.


p. 108, 118, 130, 138, 144, 152, 158, 168, 174, 180




CCSS.MATH.CONTENT.5.MD.A.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.











MATH

Grade 5

Unit 3 : Multiplication and Division with Fractions

Time Frame: 23 Days

Key Vocabulary: comparison bars, multiplicative comparison, factor, product, area model for multiplication, fraction-bar model for multiplication, Multiply and Simply Method, Simplify and Multiply Method, Unit Fraction Method, Associative Property, Commutative Property, Distributive Property, decimal fraction, dividend, divisor, quotient


How do you multiply fractions?

Why do you multiply fractions?

How do you divide fractions?

Why do you divide fractions?

What is the relationship between multiplication & division of fractions?

Big Ideas:

Multiplication with Fractions

Multiplication Links

Division with Fractions


Go, Fractions! by Judith Stamper

Parting is Such Sweet Sorrow: Fractions and Decimals (Adventures in Mathopolis) by Linda Powley and Catherine Weiskopf

Technology:

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Basic Multiplication Concepts: Connect multiplying by (1/n) to dividing by n, and use this idea to make multiplicative comparisons





difference of fractions with like denominators.










CCSS.MATH.CONTENT.5.NF.B.3

Interpret a fraction as division of the numerator

by the denominator (a/b = a ÷ b). Solve word

problems involving division of whole numbers

leading to answers in the form of fractions or

mixed numbers, e.g., by using visual fraction

models or equations to represent the problem.


Apply and extend previous understandings of

multiplication to multiply a fraction or whole

number by a fraction.

CCSS.MATH.CONTENT.5.NF.B.4.A

Interpret the product (a/b) × q as a parts of a

Multiplication with Non-Unit Fractions: Interpret a/b times a quantity as a of b equal parts of that quantity.

Multiplication with Fractional Solutions: Multiply a whole number by a fraction to produce a fraction.

Multiply a Fraction by a Fraction: Multiply any two fractions.

Multiplication Strategies: Compare and apply strategies for multiplying fractions.

Multiply Mixed Numbers: Multiply with mixed numbers.

Relate Fraction Operations: Relate operations with fractions and whole numbers, and discuss properties of arithmetic.

Solve Real World Problems: Add, subtract, compare, and multiply fractions to solve word problems.

Make Generalizations: Predict the size of a product relative to the size of one factor based on the size of the other factor.

When Dividing Is Also Multiplying: Relate division by a unit fraction or whole number to multiplication.

Solve Division Problems: Write and solve division word problems.

Distinguish Multiplication from Division: Determine whether solving a word problem requires multiplication or division.

Review Operations with Fractions: Solve numerical and word problems involving all four operations with fractions.

Focus on Mathematical Practices: Use the Common Core Standards and Practices in a variety of real world problem solving situations.


p. 192, 198, 206, 216, 224, 232, 240, 246, 252, 260, 266, 274, 280, 286




partition of q into b equal parts; equivalently, as

the result of a sequence of operations a × q ÷ b.

CCSS.MATH.CONTENT.5.NF.B.4.B

Find the area of a rectangle with fractional side

lengths by tiling it with unit squares of the

appropriate unit fraction side lengths, and show

that the area is the same as would be found by

multiplying the side lengths. Multiply fractional

side lengths to find areas of rectangles, and

represent fraction products as rectangular areas.


Interpret multiplication as scaling (resizing), by:


Comparing the size of a product to the size of

one factor on the basis of the size of the other

factor, without performing the indicated

multiplication.


Explaining why multiplying a given number by a

fraction greater than 1 results in a product greater

than the given number (recognizing multiplication

by whole numbers greater than 1 as a familiar

case); explaining why multiplying a given number

by a fraction less than 1 results in a product

smaller than the given number; and relating the

principle of fraction equivalence a/b =

(n × a)/(n × b) to the effect of multiplying a/b by 1.


Solve real world problems involving multiplication

of fractions and mixed numbers, e.g., by using

visual fraction models or equations to represent

the problem.



division to divide unit fractions by whole numbers

and whole numbers by unit fractions.1


Interpret division of a unit fraction by a non-zero

whole number, and compute such quotients.


Interpret division of a whole number by a unit

fraction, and compute such quotients.

CCSS.MATH.CONTENT.5.NF.B.7.C

Solve real world problems involving division of

unit fractions by non-zero whole numbers and

division of whole numbers by unit fractions, e.g.,

by using visual fraction models and equations to

represent the problem.

CCSS.MATH.CONTENT.5.MD.B.2 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to

solve problems involving information presented in line plots.












MATH

Grade 5

Unit 4: Multiplication with Whole Numbers and Decimals

Time Frame: 18 Days

Key Vocabulary: shift, base, exponent, exponential form, power of ten, even, odd, partial products, Place Value Sections, Expanded Notation, New Groups Below, Place Value Rows, Short Cut, Commutative Property of Multiplication, Associative Property of Multiplication, Distributive Property of Multiplication over Addition,


Why are decimals necessary in everyday situations? How are decimals related to whole numbers? Why is place value important when representing and computing whole numbers and

decimals? How do we record and interpret numerical expressions?

Big Ideas:

Multiplication with Whole Numbers

Multiplication with Decimal Numbers


The Amazing Impossible Erie Canal by Cheryl Harness

Technology:

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Shift Patterns in Multiplication: Understand the shift patterns when multiplying by 10, 100, or 1,000.

Patterns with Fives and Zeros: Understand that multiples of 5 need extra attention in the zeros pattern.





multiplication.












Recognize that in a multi-digit number, a digit in

one place represents 10 times as much as it

represents in the place to its right and 1/10 of

what it represents in the place to its left.


Explain patterns in the number of zeros of the

product when multiplying a number by powers of

10, and explain patterns in the placement of the

decimal point when a decimal is multiplied or

divided by a power of 10. Use whole-number

exponents to denote powers of 10.

Sharing Methods for Multiplication: Understand how a place value model can be used to solve multidigit multiplication problems.

Multiply Two-Digit Numbers: Solve two-digit multiplication problems using various methods.

Practice Multiplication: Practice multiplying mulitidigit numbers.

Multiply Decimals by Whole Numbers: Solve multiplication problems in which one factor is a decimal number.

Multiply by Decimals: Solve multiplication problems in which at least one factor is a decimal number.

Multiply with Decimals Greater Than 1: Multiply with decimal numbers greater than 1.

Compare Shift Patterns: Understand and apply shift patterns when multiplying by 10, 100, 1,000, 0.1, or 0.01.

Estimate Products: Round whole numbers and decimal numbers to estimate the product in a multiplication problem.

Multiplication Practice: Perform multidigit multiplication with decimal numbers.


p. 302, 308, 314, 322, 326, 334, 344, 350, 358, 366, 372, 378





Read, write, and compare decimals to

thousandths.

CCSS.MATH.CONTENT.5.NBT.A.3.A

Read and write decimals to thousandths using

base-ten numerals, number names, and

expanded form, e.g., 347.392 = 3 × 100 + 4 × 10

+ 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

CCSS.MATH.CONTENT.5.NBT.A.3.B

Compare two decimals to thousandths based on

meanings of the digits in each place, using >, =,

and < symbols to record the results of

comparisons.


Use place value understanding to round decimals

to any place.

CCSS.MATH.CONTENT.5.NBT.B.5 Fluently multiply multi-digit whole numbers using the standard algorithm.

CCSS.MATH.CONTENT.5.NBT.B.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.











MATH

Grade 5

Unit 5 : Division with Whole Numbers and Decimals

Time Frame: 16 Days

Key Vocabulary: Digit-by-Digit method, dividend, divisor, Expanded Notation method, Place Value Sections method, quotient, remainder, overestimate, underestimate


How and why do you divide decimals?

What is the relationship between multiplication & division of decimals?

Why is place value important when representing and computing whole numbers and

decimals?

Big Ideas:

Division with Whole Numbers

Division with Decimal Numbers


A Remainder of One by Elinor J. Pinczes

The Everything Kids’ Money Book: Earn it, save it, watch it grow! By Brette McWhorter Sember

The Great Divide: A Mathematical Marathon by Dayle Ann Dodds

Technology:

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CCSS.MATH.CONTENT.5.NBT.A.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the

Divide Whole Numbers by One Digit: Divide multidigit numbers by single-digit divisors.

Explore Dividing by Two-Digit Whole Numbers: Solve division problems having two-digit divisors.



decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

CCSS.MATH.CONTENT.5.NBT.A.3.B Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

CCSS.MATH.CONTENT.5.NBT.B.5

Fluently multiply multi-digit whole numbers using

the standard algorithm.


Find whole-number quotients of whole numbers

with up to four-digit dividends and two-digit

divisors, using strategies based on place value,

the properties of operations, and/or the

relationship between multiplication and division.

Illustrate and explain the calculation by using

equations, rectangular arrays, and/or area

models.


Add, subtract, multiply, and divide decimals to

hundredths, using concrete models or drawings

and strategies based on place value, properties

of operations, and/or the relationship between

addition and subtraction; relate the strategy to a

written method and explain the reasoning used.

Too Large, Too Small, or Just Right?: Understand several ways to adjust the estimated divisor when it is too small.

Interpret Remainders: Express and interpret remainders for a variety of problem types.

Division Practice: Practice dividing whole numbers.

Divide Decimal Numbers by Whole Numbers: Divide decimal numbers by one- and two-digit whole numbers.

Divide Whole Numbers by Decimal Numbers: Solve division problems that have decimal divisors.

Divide with Two Decimal Numbers: Solve division problems in which both numbers are decimals.

Division Practice: Solve division problems that require multiplying or dividing whole numbers and decimal numbers.

Focus on Mathematical Practices: Use the Common Core Content Standards and Practices in a variety of real world problem solving situations.

p. 394, 400, 406, 414, 420, 428, 438, 446, 452, 460, 466










multiplication.












MATH

Grade 5

Unit 6 : Operations and Word Problems

Time Frame: 18 Days

Key Vocabulary: situation equation, solution equation, break apart drawing, rectangle model, benchmark, comparison, leading language, misleading language, scaling, additive, multiplicative, parentheses, equation


Leave this section blank. Nicole will complete.

Big Ideas:

Equations and Problem Solving

Comparison Word Problems

Problems with More Than One Step


O, Say Can You See? by Shelia Keenan and Ann Boyajian

Time for Kids Almanac, by Time for Kids Editors

Technology:

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CCSS.MATH.CONTENT.5.NBT.A.4 Use place value understanding to round decimals to any place.

Situation and Solution Equations for Addition and Subtraction: Write situation and solution equations to solve addition and subtraction problems.

Situation and Solution Equations for Multiplication and Division: Write situation and solution equations to multiplication and division problems.

Write Word Problems: Write word problems for equations involving fractions and decimals and model the product.



p. 478, 486, 492, 500, 508, 516, 524, 532, 538, 544, 550


Fluently multiply multi-digit whole numbers using

the standard algorithm.


Find whole-number quotients of whole numbers

with up to four-digit dividends and two-digit

divisors, using strategies based on place value,

the properties of operations, and/or the

relationship between multiplication and division.

Illustrate and explain the calculation by using

equations, rectangular arrays, and/or area

models.


Add, subtract, multiply, and divide decimals to

hundredths, using concrete models or drawings

and strategies based on place value, properties

of operations, and/or the relationship between

addition and subtraction; relate the strategy to a

written method and explain the reasoning used.






difference of fractions with like denominators. For

example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In

general, a/b + c/d = (ad + bc)/bd.)

Determine Reasonable Answers: Use a variety of methods to determine reasonable answers.

Language of Comparison Problems: Understand and apply comparison language.

Multiplicative Comparison Problems: Model and solve multiplicative comparison problems.

Types of Comparison Problems: Solve comparison problems.

Equations and Parentheses: Solve two-step problems.

Multistep Word Problems: Solve multistep problems.

Practice Problem Solving: Practice solving multistep problems.

Focus on Mathematical Practices: Use the Common Core Content Standards and Practices in a variety of real world problem solving situations.














Interpret a fraction as division of the numerator

by the denominator (a/b = a ÷ b). Solve word

problems involving division of whole numbers

leading to answers in the form of fractions or

mixed numbers, e.g., by using visual fraction

models or equations to represent the problem.



multiplication to multiply a fraction or whole

number by a fraction.


Interpret the product (a/b) × q as a parts of a

partition of q into b equal parts; equivalently, as

the result of a sequence of operations a × q ÷ b.


Find the area of a rectangle with fractional side

lengths by tiling it with unit squares of the

appropriate unit fraction side lengths, and show

that the area is the same as would be found by

multiplying the side lengths. Multiply fractional

side lengths to find areas of rectangles, and

represent fraction products as rectangular areas.







multiplication.












Solve real world problems involving multiplication

of fractions and mixed numbers, e.g., by using

visual fraction models or equations to represent

the problem.



division to divide unit fractions by whole numbers

and whole numbers by unit fractions.1


Interpret division of a unit fraction by a non-zero

whole number, and compute such quotients.


Interpret division of a whole number by a unit

fraction, and compute such quotients.

CCSS.MATH.CONTENT.5.NF.B.7.C

Solve real world problems involving division of

unit fractions by non-zero whole numbers and

division of whole numbers by unit fractions, e.g.,

by using visual fraction models and equations to

represent the problem.










Math Unit 7Overview

MATH

Grade 5

Unit 7 : Algebra, Patterns, and Coordinate Graphs

Time Frame: 12 Days

Key Vocabulary: expression, Order of Operations, simplify, evaluate, variable, numerical pattern, term, coordinate plane, ordered pair, origin, x-coordinate, y-coordinate, x-axis, y-axis


How can identifying patterns help determine multiple solutions?

In what ways can we represent real world and mathematical problems using rules?

When can coordinate grids help you organize information?

What relationships can be determined by analyzing two sets of given rules?

Big Ideas:

Algebraic Reasoning and Expressions

Patterns and Graphs


The Fly on the Ceiling, by Julie Glass

Find the Constellations, by H.A. Rey

Technology:

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CCSS.MATH.CONTENT.5.OA.A.1

Use parentheses, brackets, or braces in

Read and Write Expressions: Read and write expressions.

Simplify Expressions: Simplify numerical expressions.

Evaluate Expressions: Write and evaluate expressions that contain variables.



numerical expressions, and evaluate expressions

with these symbols.

CCSS.MATH.CONTENT.5.OA.A.2

Write simple expressions that record calculations

with numbers, and interpret numerical

expressions without evaluating them.

CCSS.MATH.CONTENT.5.OA.B.3

Generate two numerical patterns using two given

rules. Identify apparent relationships between

corresponding terms. Form ordered pairs

consisting of corresponding terms from the two

patterns, and graph the ordered pairs on a

coordinate plane.

CCSS.MATH.CONTENT.5.G.A.1

Use a pair of perpendicular number lines, called

axes, to define a coordinate system, with the

intersection of the lines (the origin) arranged to

coincide with the 0 on each line and a given point

in the plane located by using an ordered pair of

numbers, called its coordinates. Understand that

the first number indicates how far to travel from

the origin in the direction of one axis, and the

second number indicates how far to travel in the

direction of the second axis, with the convention

that the names of the two axes and the

coordinates correspond (e.g.,x-axis and x-

coordinate, y-axis and y-coordinate).

Patterns and Relationships: Generate and extend numerical patterns and identify relationships of corresponding terms.

The Coordinate Plane: Locate and plot points in the first quadrant of the coordinate plane.

Graph Ordered Pairs: Graph ordered pairs and use them to represent and solve real world problems.

Focus on Mathematical Practices: Use the Common Core Standards and Practices in a variety of real world problem solving situations.

p. 560, 566, 572, 580, 590, 596, 602




CCSS.MATH.CONTENT.5.G.A.2

Represent real world and mathematical problems

by graphing points in the first quadrant of the

coordinate plane, and interpret coordinate values

of points in the context of the situation.











MATH

Grade 5

Unit 8 : Measurement and Geometry

Time Frame: 26 Days

Key Vocabulary: meter, millimeter, centimeter, decimeter, decameter, hectometer, kilometer, liter, milliliter, centiliter, deciliter, dekaliter, hectoliter, kiloliter, mass, gram, milligram, centigram, decigram, dekagram, hectogram, kilogram, mile (mi), ton, frequency table, line plot, perimeter, area, square centimeter, square unit, face, edge, rectangular prism, cube, unit cube, volume, cubic unit, rectangular prism, volume, cubic unit, one-dimensional, two-dimensional, three-dimensional, composite, acute angle, adjacent angles, adjacent sides, congruent, counterexample, line of symmetry, opposite angles, opposite sides, parallel, parallelogram, perpendicular, quadrilateral, rectangle, rhombus, right angle, square, trapezoid, acute angle, acute triangle, adjacent sides, congruent angles, congruent sides, equilateral triangle, isosceles triangle, obtuse angle, obtuse triangle, perpendicular sides, right angle, right triangle, scalene triangle, closed, concave, convex, open, polygon, reflex angle, regular polygon


Where and when can you find a 2 dimensional figure in life?

Why do you need to know the volume of something?

Why is the formula for volume important?

Big Ideas:

Measurements and Data

Area and Volume

Classify Geometric Figures


The Math Chef: Over 60 Math Activities and Recipes for Kids, by Joan D’Amico and Karen Eich Drummond

Technology:

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CCSS.MATH.CONTENT.5.MD.A.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

CCSS.MATH.CONTENT.5.MD.B.2 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots.

CCSS.MATH.CONTENT.5.MD.C.3

Recognize volume as an attribute of solid figures

and understand concepts of volume

measurement.

CCSS.MATH.CONTENT.5.MD.C.3.A

A cube with side length 1 unit, called a "unit

cube," is said to have "one cubic unit" of volume,

and can be used to measure volume.

CCSS.MATH.CONTENT.5.MD.C.3.B

A solid figure which can be packed without gaps

or overlaps using n unit cubes is said to have a

volume of n cubic units.

Convert Metric Units of Length: Convert among metric units of length.

Metric Units of Liquid Volume: Convert among metric units of liquid volume.

Metric Units of Mass: Convert among metric units of mass.

Customary Units of Length: Convert among customary units of length.

Customary Measures of Liquid Volumes: Convert among customary measures of liquid volume.

Customary Units of Weight: Convert among customary measures of weight.

Read and Make Line Plots: Make and analyze line plots.

Perimeter and Area of Rectangles: Use a formula to find the perimeter and area of a rectangle with fractional side lengths.

Cubic Units and Volume: Use a formula to find the volume of a rectangular prism.

Visualize Volume: Compute the volume of a rectangular prism.

Introduce Volume Formulas: Use a formula to find the volume of a rectangular prism.

Relate Length, Area, and Volume: Identify whether a situation involves length, area, or volume.

Volume of Composite Solid Figures: Find the volume of a composite solid figure.

Attributes of Quadrilaterals: Understand attributes of different types of quadrilaterals.



p. 614, 620, 626, 632, 638, 644, 650, 660, 668, 674, 680, 686, 692, 702, 710, 718, 724





Measure volumes by counting unit cubes, using

cubic cm, cubic in, cubic ft, and improvised units.


Relate volume to the operations of multiplication

and addition and solve real world and

mathematical problems involving volume.

CCSS.MATH.CONTENT.5.MD.C.5.A

Find the volume of a right rectangular prism with

whole-number side lengths by packing it with unit

cubes, and show that the volume is the same as

would be found by multiplying the edge lengths,

equivalently by multiplying the height by the area

of the base. Represent threefold whole-number

products as volumes, e.g., to represent the

associative property of multiplication.

CCSS.MATH.CONTENT.5.MD.C.5.B

Apply the formulas V = l × w × h and V = b × h for

rectangular prisms to find volumes of right

rectangular prisms with whole-number edge

lengths in the context of solving real world and

mathematical problems.

CCSS.MATH.CONTENT.5.MD.C.5.C

Recognize volume as additive. Find volumes of

solid figures composed of two non-overlapping

right rectangular prisms by adding the volumes of

Attributes of Triangles: Understand the attributes of different types of triangles.

Attributes of Two-Dimensional Shapes: Understand attributes of polygons and other two-dimensional shapes.


the non-overlapping parts, applying this

technique to solve real world problems.

CCSS.MATH.CONTENT.5.G.B.3

Understand that attributes belonging to a

category of two-dimensional figures also belong

to all subcategories of that category. For

example, all rectangles have four right angles

and squares are rectangles, so all squares have

four right angles.

CCSS.MATH.CONTENT.5.G.B.4

Classify two-dimensional figures in a hierarchy

based on properties.

CCSS.MATH.CONTENT.5.NF.B.4.B Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.










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Unit 1 : Addition and Subtraction with Fractions Unit 1 Overview MATH Grade 5 Unit 1 : Addition and Subtraction with Fractions Time Frame: 20 Days Key Vocabulary: denominator, fraction,