Numbers, Expressions, and Equations - Nebo … · Web view1-6-b Model addition and subtraction of integers using manipulatives and a number line. 8-3 Understanding Rational Numbers

Correlation of Scott Foresman to 6th Math CoreCompiled by Westside 6th Grade Team

Lesson #

Lesson Title Associated CoreStandard/Objective/Indicator

Core Academy Activity Cross-Curricular Integration

1-1 Place Value 1-1-b Read and write numerals from thousandths to one billion.

1-2 Exponents 1-1-a Change whole numbers with exponents to standard form (e.g., 24 = 16) and recognize that 100 = 1.

1-1-c Write a whole number to 999,999 in expanded form using exponents (e.g., 876,539 = 8 x 105 + 7 x 104 + 6 x 103 + 5 x 102 + 3 x 101 + 9 x 100).

2-2-d Recognize that an exponent can be represented in the following ways: 43

or 4^3.

Dishes for a Penny (Act04)

1-3 Comparing & Ordering Whole Numbers

1-2-b Compare and order rational numbers, including mixed fractions, using a variety of methods and symbols.

1-4 Rounding Whole Numbers

1-5-b Use estimation strategies to determine whether results obtained using a calculator are reasonable.

1-5 Estimating sums & Differences


1-6 Estimating Products & Quotients


1-7 PS: Read & Understand

5-1-e Develop and evaluate inferences and predictions based on data.

1-8 Order of Operations 1-5-h Simplify expressions, with exponents, using the order of

operations.

1-9 Properties of Operations

2-2-e Evaluate expressions and formulas, substituting given values for the variables (e.g., 2x+4; x=2; therefore, 2(2)+4=8).

1-10 Mental Math: Using the Distributive Property

1-11 Mental Math Strategies

1-5-a Determine when it is appropriate to use estimation, mental math strategies, paper and pencil, or a calculator.

1-12 PS: Plan & Solve 1-3-d Select or write a number sentence that can be used to solve a multi-step problem and write a word problem when given a two-step expression or equation.


1-13 Variables & Expressions

2-1-b Create tables and graphs to represent given patterns and algebraic expressions.

2-2-a Recognize that a number in front of a variable indicates multiplication (e.g., 3y means 3 times the quantity y).

2-2-e Evaluate expressions and formulas, substituting given values for the variables (e.g., 2x+4; x=2; therefore, 2(2)+4=8).

1-14 Properties of Equality 1-6-a Recognize that the sum of an integer and its opposite is zero. 2-2-b Solve two-step equations involving whole numbers and a single variable (e.g., 3x+4=19).

Balance or Tilt

1-15 Solving Equations with Whole Numbers

2-2-b Solve two-step equations involving whole numbers and a single variable (e.g., 3x+4=19).

Two-Step Equations

Evaluating Expressions Using Tiles

1-16 PS: Look Back & 5-1-e Develop and evaluate inferences

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Check and predictions based on data.

1-17 PS: Production

2-1 Understanding Decimals

1-1-b Read and write numerals from thousandths to one billion. 1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals.

2-2 Comparing & Ordering Decimals


1-2-c Locate positive rational numbers on a number line.

1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals.

2-3 Rounding with Decimals


2-4 Estimating with Decimals

1-3-b Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 1-5-b Use estimation strategies to determine whether results obtained using a calculator are reasonable.

2-5 Adding & Subtracting Whole Numbers & Decimals

1-3-b Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 1-5-e Add and subtract decimals to the thousandths place (e.g., 34.567+3.45; 65.3-5.987).

Investing Money

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2-6 Multiplying Whole Numbers & Decimals

1-3-b Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line).

1-5-c Multiply up to a three-digit factor by a one- or two-digit factor including decimals.

2-7 Dividing by a Whole Number

1-3-a Represent division of a multi-digit dividend by two-digit divisors, including decimals, using models, pictures, and symbols. 1-5-d Divide up to a four-digit dividend by a one- or two-digit divisor including decimals.

2-8 PS: Interpreting Remainders

1-3-a Represent division of a multi-digit dividend by two-digit divisors, including decimals, using models, pictures, and symbols. 1-5-d Divide up to a four-digit dividend by a one- or two-digit divisor including decimals.

2-9 Dividing by a Decimal

1-3-a Represent division of a multi-digit dividend by two-digit divisors, including decimals, using models, pictures, and symbols.


1-5-d Divide up to a four-digit dividend by a one- or two-digit divisor including decimals.

2-10 Multiplying & Dividing by Powers of Ten

2-11 Scientific Notation 1-1-d Express numbers in scientific notation using positive powers of ten.

Scientific Notation

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Solving Equations with Decimals

2-13 Write an Equation 1-3-d Select or write a number sentence that can be used to solve a multi-step problem and write a word problem when given a two-step expression or equation.

2-14 PS: Toronto SkyDome

3-1 Factors, Multiples, and Divisibility

1-2-c Locate positive rational numbers on a number line.

1-3-c Apply rules of divisibility.

3-2 Prime & Composite Numbers

1-1-e Classify whole numbers to 100 as prime, composite, or neither. 1-1-f Determine the prime factorization for a whole number up to 50.

Prime and Composite

3-3 Greatest Common Factor

1-2-a Find the greatest common factor and least common multiple for two numbers using a variety of methods (e.g., list of multiples, prime factorization).

Games: Factor Capture (Act05)

3-4 Least Common Multiple

1-2-a Find the greatest common factor and least common multiple for two numbers using a variety of methods (e.g., list of multiples, prime factorization).

3-5 PS: Make a Table 5-1-e Develop and evaluate inferences and predictions based on data.

3-6 Understanding Fractions

1-4-a Divide regions, sets of objects, and line segments into equal parts using a variety of models and

A Newspaper

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illustrations. 1-4-b Name and write a fraction to represent a portion of a unit whole for halves, thirds, fourths, fifths, sixths, eighths, tenths, twelfths, and sixteenths.

Sticky Note Math

Fractured Fractions

3-7 Equivalent Fractions 1-4-c Write a fraction or ratio in simplest form. 1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals.

Games: Equivalent Fractions Capture andEquivalent Spoons (Act05)

3-8 Improper Fractions & Mixed Numbers

1-4-c Write a fraction or ratio in simplest form.

3-9 Estimating Fractional Amounts


3-10 Connecting Fractions & Decimals

1-2-d Convert common fractions, decimals, and percents from one form to another (e.g., ¾ = 0.75 = 75%)


Domino Theory

3-11 Comparing & Ordering Fractions & Decimals


3-12 PS: Multiple-Step Problems

1-3-d Select or write a number sentence that can be used to solve a multi-step problem and write a word problem when given a two-step expression or equation.

3-13 PS: Earth’s Surface

4-1 Adding & Subtracting Fractions with Like Denominators

1-3-b Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers.

Games: Garbage Can Basketball (Act05)

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4-2 Adding & Subtracting Fractions with Unlike Denominators


4-3 PS: Look for a Pattern

2-1-a Analyze patterns on graphs and tables and write a generalization to predict how the patterns will continue.

4-4 Estimating Sums and Differences of Fractions & Mixed Numbers


4-5 Adding Mixed Numbers


4-6 Subtracting Mixed Numbers


4-7 Choose a Computation Method


4-8 PS: Exact Answer or Estimate

1-5-a Determine when it is appropriate to use estimation, mental math strategies, paper and pencil, or a calculator.

Peer Pressure

4-9 PS: Hovercraft5-1 Multiplying a Fraction

& a Whole Number1-3-b Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers.

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5-2 Multiplying Fractions 1-3-b Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers.

5-3 Estimating with Fractions & Mixed Numbers


5-4 Multiplying Mixed Numbers


5-5 PS: Make an Organized List

5-6 Dividing Fractions 1-3-b Model addition, subtraction, multiplication, and division of fractions and decimals in a variety of ways (e.g., objects, a number line). 1-5-f Add, subtract, multiply, and divide fractions and mixed numbers.

Dividing Fractions

5-7 Dividing Mixed Numbers


5-8 Expressions with Fractions

5-9 Solving Equations with Fractions

5-10 PS: Writing to Explain

5-11 PS: Honeybees

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6-1 Understanding Ratios

1-5-g Solve problems using ratios and proportions.

6-2 Equal Ratios 1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals, including repeating or terminating decimals. 1-5-g Solve problems using ratios and proportions.

6-3 Rates & Unit Rates 1-5-g Solve problems using ratios and proportions.

6-4 PS: Use Objects6-5 Understanding

Proportions1-5-g Solve problems using ratios and proportions.

6-6 Solving Proportions 1-5-g Solve problems using ratios and proportions.

6-7 Solving Proportions Using Cross Products

1-5-g Solve problems using ratios and proportions.


6-9 Using Formulas6-10 Scale Drawings &

Maps6-11 PS: The Stars &

Stripes

7-1 Understanding Percent


Pennies for Pits

7-2 Fractions, Decimals, and Percents

1-2-d Convert common fractions, decimals, and percents from one form to another (e.g., ¾ = 0.75 = 75%)

1-4-d Name equivalent forms for fractions (halves, thirds, fourths, fifths, tenths), ratios, percents, and decimals,

Smaller Than One

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including repeating or terminating decimals.

5-2-a Write the results of a probability experiment as a fraction, ratio, or percent between zero and one.


7-4 Mental Math: Finding a Percent of a Number

7-5 Estimating with Percents


7-6 Finding a Percent of a Number


7-7 PS: Solve a Simpler Problem

7-8 Sales Tax & Discount7-9 Percent of Increase

& Decrease7-10 Simple Interest7-11 PS: Airports

8-1 Understanding Integers

1-6-a Recognize that the sum of an integer and its opposite is zero. 1-6-b Model addition and subtraction of integers using manipulatives and a number line.

8-2 Comparing & Ordering Integers

1-2-b Compare and order rational numbers, including mixed fractions, using a variety of methods and symbols. 1-6-b Model addition and subtraction of integers using manipulatives and a number line.

8-3 Understanding 1-2-b Compare and order rational numbers, including mixed fractions,

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Rational Numbers using a variety of methods and symbols. 1-2-c Locate positive rational numbers on a number line.

8-4 PS: Choose an Operation

8-5 Adding Integers 1-6-b Model addition and subtraction of integers using manipulatives and a number line. 1-6-c Add and subtract integers.

8-6 Subtracting Integers 1-6-b Model addition and subtraction of integers using manipulatives and a number line.1-6-c Add and subtract integers.

8-7 Multiplying Integers8-8 Dividing Integers 1-3-a Represent division of a multi-digit

dividend by two-digit divisors, including decimals, using models, pictures, and symbols. 1-5-d Divide up to a four-digit dividend by a one- or two-digit divisor including decimals.

8-9 Solving Equations with Integers


8-10 PS: Work Backward8-11 Graphing Ordered

Pairs2-1-c Draw a graph from a table of values or to represent an equation.

3-2-a Graph points defined by ordered pairs in all four quadrants.

3-2-b Write the ordered pair for a point in any quadrant.

Constructing Tangrams (Act13)

Coordinate Connections

Tomb Robbers

8-12 Patterns & Tables 2-1-a Analyze patterns on graphs and tables and write a generalization to predict how the patterns will continue. 2-1-b Create tables and graphs to represent given patterns and algebraic expressions.

Best Salary

Growing Patterns

Patterns (Act08)

Patterns in Measurement8-13 Graphing Equations 2-1-b Create tables and graphs to

represent given patterns and algebraic

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expressions.

2-1-d Draw a graph from a table of values or to represent an equation.

8-14 PS: Extreme Weather

9-1 Geometric Ideas 3-1-a Identify the midpoint of a line segment.

9-2 Measuring & Drawing Angles

3-3-a Turn (rotate) a shape around a point and identify the location of the new vertices. 4-2-b Estimate and measure an angle to the nearest degree.

Angle Land & Angle Aerobics (Act18)

Measuring Pattern Block Angles

Patterns in the Sum of Polygon Angles

Tomb Robbers

9-3 Angle Pairs9-4 Constructions9-5 PS: Draw a Picture

9-6 Polygons 3-1-b Identify concave and convex polygons.

Pattern Block Polygons (Act10)

9-7 Triangles9-8 Quadrilaterals9-9 Circles 3-1-c Identify the center, radius,

diameter, and circumference of a circle. The Shape Shifter (Act09)

9-10 Congruent & Similar Figures

9-11 Transformations 3-3-a Turn (rotate) a shape around a point and identify the location of the new vertices.

3-3-b Slide (translate) a polygon either

Transforming Triangles

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horizontally or vertically on a coordinate grid and identify the location of the new vertices.

3-3-c Flip (reflect) a shape across either the x- or y-axis and identify the location of the new vertices.

9-12 PS: Writing to Compare

3-3-a Turn (rotate) a shape around a point and identify the location of the new vertices.

3-3-b Slide (translate) a polygon either horizontally or vertically on a coordinate grid and identify the location of the new vertices.

3-3-c Flip (reflect) a shape across either the x- or y-axis and identify the location of the new vertices.

9-13 Symmetry 3-3-a Turn (rotate) a shape around a point and identify the location of the new vertices.

3-3-b Slide (translate) a polygon either horizontally or vertically on a coordinate grid and identify the location of the new vertices.

3-3-c Flip (reflect) a shape across either the x- or y-axis and location of the new vertices.

9-14 Tesselations9-15 PS: Neuschwanstein

Castle

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10-1 Customary Measurement

4-1-a Compare a meter to a yard, a liter to a quart, and a kilometer to a mile.

4-1-d Estimate length, volume, weight, and area using metric and customary units.

Metric Rhyme (Act15)

Pennies for Pits

10-2 Metric Measurement 4-1-a Compare a meter to a yard, a liter to a quart, and a kilometer to a mile.


Cyclops (Act03)

10-3 Units of Measure & Precision

4-1-c Explain how the size of the unit used in measuring affects the precision. 4-2-a Measure length to the nearest one-sixteenth of an inch and to the nearest millimeter.

Trundle Wheel (Act16)

Looking for Length

10-4 Relating Customary & Metric Measurements

4-1-a Compare a meter to a yard, a liter to a quart, and a kilometer to a mile.


10-5 Elapsed Time10-6 PS: Use Logical

Reasoning4-2-d Calculate elapsed time across a.m. and p.m. time periods.

10-7 Perimeter10-8 Areas of Squares &

Rectangles4-2-e Calculate the areas of triangles, rectangles, and parallelograms using given formulas.

10-9 Relating Area & Perimeter


10-10 Area of Parallelograms &Triangles


4-2-e Calculate the areas of triangles, rectangles, and parallelograms using given formulas.

10-11 Circumference 2-2-c Recognize that “≈” indicates a relationship in which the quantities on

Pi (Act17)

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each side are approximately of equal value (e.g., π ≈ 3.14).

4-1-b Identify pi as the ratio of the circumference to diameter of a circle.

4-2-c Calculate the circumference of a circle using a given formula.

The Circle’s Measure

10-12 Area of a Circle 4-1-d Estimate length, volume, weight, and area using metric and customary units.

10-13 PS: Extra or Missing Information

10-14 Solid Figures 3-1-d Identify the number of faces, edges, and vertices of prisms and pyramids.

Pyramids & Prisms: Euler’s Formula (Act14)

10-15 Surface Area 4-2-f Calculate the surface area and volume of right, rectangular prisms using given formulas.

10-16 Volume 4-2-f Calculate the surface area and volume of right, rectangular prisms using given formulas.

Cube Models (Act19)

10-17 PS: Underground

11-1 Samples & Surveys 5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots).


Which Month (Act20)

11-2 Mean, Median, Mode, & Range


11-3 Frequency Tables & Line Plots

5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots).

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5-1-b Collect, compare, and display data using an appropriate format (i.e., bar graphs, line graphs, line plots, circle graphs, scatter plots).


11-4 Stem-and-Leaf-Plots 5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). 5-1-e Develop and evaluate inferences and predictions based on data.

11-5 Bar Graphs 5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots).



11-6 Line Graphs 5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots).



11-7 Circle Graphs 5-1-a Design investigations to answer

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questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots).



5-2-a Write the results of a probability experiment as a fraction, ratio, or percent between zero and one.

11-8 PS: Make a Graph 5-1-a Design investigations to answer questions by collecting and organizing data in a variety of ways (e.g., bar graphs, line graphs, frequency tables, stem and leaf plots). 5-1-e Develop and evaluate inferences and predictions based on data.

11-9 Misleading Graphs 5-1-d Recognize that changing the scale influences the appearance of a display of data. 5-1-e Develop and evaluate inferences and predictions based on data.

Exploring Scale (Act26)

11-10 Counting Methods11-11 Permutations &

Combinations5-1-e Develop and evaluate inferences and predictions based on data.

11-12 Probability 5-2-a Write the results of a probability experiment as a fraction, ratio, or percent between zero and one.

Spinning Probability (Act 21)

The Dice Game (Act22)11-13 Predictions &

Probability5-2-b Compare experimental results with anticipated results (e.g., experimental: 7 out of 10 tails; whereas, anticipated 5 out of 10 tails).

Drawing Conclusions (Act23)

Coin Tossing (Act25)

11-14 Adding Probabilities11-15 Multiplying

Probabilities11-16 PS: Writing to

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Describe11-17 PS: Age & Growth

12-1 Graphing Inequalities12-2 Solving Inequalities12-3 PS: Try, Check, &

Revise12-4 PS: Translating

Words to Expressions

12-5 Solving Two-Step Equations


12-6 Patterns & Equations 2-1-a Analyze patterns on graphs and tables and write a generalization to predict how the patterns will continue.

12-7 Equations & Graphs 2-1-d Draw a graph from a table of values or to represent an equation.

12-8 Temperature12-9 PS: Olympics

Core Indicators not taught in Scott Foresman

1-4-e Relate percents less than 1% or greater than 100% to equivalent fractions, decimals, whole numbers, and mixed numbers.

2-2-d Recognize that an exponent can be represented in the following ways: 43 or 4^3.

2-2-e Evaluate expressions and formulas, substituting given values for the variables (e.g., 2x+4; x=2; therefore, 2(2)+4=8). This is treated briefly in lesson 1-9

3-1-b Identify concave and convex polygons. Polygons are taught in lesson 9-6, but concave and convex polygons aren’t mentioned.

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5-1-c Compare two similar sets of data on the same graph and compare two graphs representing the same set of data.

5-2-c Compare individual, small group, and large group results for a probability experiment.

Technology Links can be found at http://www.nebo.edu/sagecreek/pages/math_links_6.htm

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Documents

Numbers, Expressions, and Equations - Nebo … · Web view1-6-b Model addition and subtraction of integers using manipulatives and a number line. 8-3 Understanding Rational Numbers