volume 1 unit 1 addition and subtraction with...

Pacing Guide ContentsIntroduction Common Core State Standards

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VOLUME 1

UNIT

1Addition and Subtraction with Fractions

Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1AThe Learning Community: Beginning of the Year . . . . . . . . . . . . . . . . . . . . . . .1LL

BIG IDEA 1 Equivalent Fractions

Common Core State Standards CC.5.NF.1, CC.5.NF.2

1 Introduce the MathBoard. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1ACTIVITY Discuss Fractions

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2 Explain Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7ACTIVITIES Explore Equivalence • Equivalent Fractions on the Number Line

3 Equivalent Fractions and Multipliers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17ACTIVITIES Equivalence in the Multiplication Table • Chains of Equivalent Fractions

4 Strategies for Comparing Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .25ACTIVITY Compare Fractions

5 Fractions Greater Than One . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .35ACTIVITIES Fractions Greater Than One and Mixed Numbers • Conversions

Quick Quiz 1 FORMATIVE ASSESSMENT

for Lessons 1, 2, 3, 4, 5

BIG IDEA 2 Addition and Subtraction with Fractions

Common Core State Standards CC.5.NF.1, CC.5.NF.2, CC.5.MD.2

6 Add and Subtract Like Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .43ACTIVITIES Add Like Mixed Numbers • Subtract Like Mixed Numbers

7 Add Unlike Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .51ACTIVITIES Rename Fractions to Add • Strategies for Renaming

8 Subtract Unlike Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .61ACTIVITIES Rename Fractions to Subtract • Solve Subtraction Problems

9 Solve with Unlike Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .67ACTIVITIES Elicit Any Method • Practice with Mixed Numbers

10 Practice with Unlike Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .75ACTIVITIES Review Finding a Common Denominator • Practice Adding and Subtracting Mixed Numbers

REAL WORLDPROBLEM SOLVING

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11 Reasonable Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .81ACTIVITY Estimate with Fractions and Mixed Numbers

12 Real World Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .87ACTIVITY Solve Word Problems

13 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .93ACTIVITIES Math and Bird Hotels • Use Reasoning • Establish a Position


for Lessons 6, 7, 8, 9, 10, 11, 12, 13

UNIT 1 Review and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99

UNIT

2 Addition and Subtraction with DecimalsOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103A

BIG IDEA 1 Read and Write Decimals

Common Core State Standards CC.5.NBT.1, CC.5.NBT.3, CC.5.NBT.3a, CC.5.NBT.3b

1 Decimals as Equal Divisions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .103ACTIVITIES Relate Fractions and Decimals • Read and Write Decimals and Fractions

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2 Thousands to Thousandths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .111ACTIVITIES Symmetry Around the Ones • Expanded Form for Decimals

3 Equate and Compare Thousandths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .121ACTIVITIES Decimal Equivalents • Patterns in Decimal Secret Code Cards


for Lessons 1, 2, 3


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BIG IDEA 2 Addition and Subtraction

Common Core State Standards CC.5.NBT.7, CC.5.MD.1

4 Adding and Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .133ACTIVITIES Use Decimal Numbers • Relate Decimals and Metric Lengths

5 Add Whole Numbers and Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .141ACTIVITIES Discuss Ways to Regroup • Add Unlike Amounts

6 Subtract Whole and Decimal Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .147ACTIVITIES Ungroup with Zeros • Subtract Unlike Amounts

7 Properties and Strategies. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .155ACTIVITIES Use Properties • Real World Applications


for Lessons 4, 5, 6, 7

BIG IDEA 3 Round and Estimate with Decimals

Common Core State Standards CC.5.NBT.3b, CC.5.NBT.4, CC.5.NBT.7

8 Round and Estimate with Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .161ACTIVITIES Round with Decimals • Determine Reasonable Answers

9 Graph with Decimal Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .171ACTIVITIES Discuss Decimal Graphs • Construct a Decimal Graph

10 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .177ACTIVITIES Math and Our Solar System • Model Mathematics • Establish a Position


for Lessons 8, 9, 10

UNIT 2 Review and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183

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UNIT

3 Multiplication and Division with FractionsOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187A

BIG IDEA 1 Multiplication with Fractions

Common Core State Standards CC.5.NF.4, CC.5.NF.4a, CC.5.NF.4b, CC.5.NF.5, CC.5.NF.5a, CC.5.NF.5b, CC.5.NF.6

1 Basic Multiplication Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .187ACTIVITIES Multiply by Unit Fractions • Multiplicative Comparisons

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2 Multiplication with Non-Unit Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .195ACTIVITIES Extend Unit-Fraction Multiplication • Multiplication Practice

3 Multiplication with Fractional Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .201ACTIVITIES Multiplication by Unit Fractions • Multiplication by Any Fraction

4 Multiply a Fraction by a Fraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .209ACTIVITIES Multiplying Two Unit Fractions • Multiply Any Two Fractions

5 Multiplication Strategies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .219ACTIVITIES Think About Simplification • Solve Multiplication Problems

6 Multiply Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .227ACTIVITIES Area Model • Multiplication Practice


for Lessons 1, 2, 3, 4, 5, 6

BIG IDEA 2 Multiplication Links

Common Core State Standards CC.5.NF.1, CC.5.NF.2, CC.5.NF.4, CC.5.NF.4a, CC.5.NF.5, CC.5.NF.5a, CC.5.NF.5b, CC.5.NF.6

7 Relate Fraction Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .235ACTIVITIES Reflect on Fraction Operations • Extend Properties to Fractions • Practice with Fraction Operations

8 Solve Real World Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .243ACTIVITIES Discuss Fraction Operations • Mixed Practice

9 Make Generalizations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .249ACTIVITIES Compare the Product to a Factor • Predict Before Solving


for Lessons 7, 8, 9


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BIG IDEA 3 Division with Fractions

Common Core State Standards CC.5.NF.1, CC.5.NF.2, CC.5.NF.3, CC.5.NF.4, CC.5.NF.4a, CC.5.NF.5, CC.5.NF.5a, CC.5.NF.5b, CC.5.NF.6, CC.5.NF.7, CC.5.NF.7a, CC.5.NF.7b, CC.5.NF.7c, CC.5.MD.2

10 When Dividing Is Also Multiplying . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .255ACTIVITIES Whole Number Division • Divide by a Unit Fraction • Divide a Unit Fraction by a Whole Number

11 Solve Division Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .263ACTIVITIES Represent Division • Real World Problems

12 Distinguish Multiplication from Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .269ACTIVITIES Word Problems with Mixed Operations • Understand and Predict Results

13 Review Operations with Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .277ACTIVITIES Review Operations with Fractions • Independent Practice

14 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .283ACTIVITIES Math and Marching Bands • Use Reasoning • Establish a Position


for Lessons 10, 11, 12, 13, 14


UNIT

4 Multiplication with Whole Numbers and DecimalsOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293A

BIG IDEA 1 Multiplication with Whole Numbers

Common Core State Standards CC.5.NBT.1, CC.5.NBT.2, CC.5.NBT.5, CC.5.NBT.7

1 Shift Patterns in Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .293ACTIVITIES Explore Place Shifts • Find Zeros Patterns • Exponents

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2 Patterns with Fives and Zeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .305ACTIVITIES Fives Pattern Variations • Practice with Fives Patterns

3 Sharing Methods for Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .311ACTIVITIES Place Value Sections • Numeric Methods for Multiplication


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4 Multiply Two-Digit Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .317ACTIVITIES Methods That Consolidate Steps • Relate Different Methods

5 Practice Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .325ACTIVITY Practice Multiplying Multidigit Numbers



BIG IDEA 2 Multiplication with Decimal Numbers

Common Core State Standards CC.5.NF.5, CC.5.NF.5a, CC.5.NF.5b, CC.5.NBT.1, CC.5.NBT.2, CC.5.NBT.3, CC.5.NBT.3b, CC.5.NBT.4, CC.5.NBT.5, CC.5.NBT.7

6 Multiply Decimals by Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .329ACTIVITIES Decimal Points and Products • Practice Multiplying a Decimal by a Whole Number • Zero Patterns in Decimal Places

7 Multiply by Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .337ACTIVITIES Shift Patterns with Decimal Multipliers • Multiply Two Decimals

8 Multiply with Decimals Greater Than 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .347ACTIVITIES More Practice with Decimal Multiplication • Solve Real World Problems • Use the Properties of Multiplication

9 Compare Shift Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .353ACTIVITIES Compare Whole Number and Decimal Multipliers • Shift Patterns and Exponents • Zeros in the Product

10 Estimate Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .361ACTIVITIES Use Rounding to Estimate Products • Use Estimation to Check Products

11 Multiplication Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .369ACTIVITIES Multiply with Two-Digit Decimals • Real World Applications

12 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .375ACTIVITIES Math and Insects • Use Reasoning • Establish a Position


for Lessons 6, 7, 8, 9, 10, 11, 12


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VOLUME 2

UNIT

5Division with Whole Numbers and Decimals

Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 385A

BIG IDEA 1 Division with Whole Numbers

Common Core State Standards CC.5.NBT.6

1 Divide Whole Numbers by One Digit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .385ACTIVITIES Student-Generated Division Methods • Division with Remainders • Estimate to Check Quotients

Family Letter

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2 Explore Dividing by Two-Digit Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . .397ACTIVITIES Estimate Place by Place • Adjust the Overestimated Factor

3 Too Large, Too Small, or Just Right? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .403ACTIVITIES Adjust the Underestimated Factor • Practice with Adjusted Estimates

4 Interpret Remainders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .409ACTIVITIES Discuss Real World Situations • Solve Real World Problems

5 Division Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .417ACTIVITIES Solve Numerical Problems • Real World Problems



BIG IDEA 2 Division with Decimal Numbers

Common Core State Standards CC.5.NBT.2, CC.5.NBT.3b, CC.5.NBT.5, CC.5.NBT.6, CC.5.NBT.7, CC.5.NF.5, CC.5.NF.5a

6 Divide Decimal Numbers by Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .423ACTIVITIES Explore Dividing Decimals by Whole Numbers • Extend the Decimal Places • Explore Division Patterns

7 Divide Whole Numbers by Decimal Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .431ACTIVITIES Explore Place Shifts • Discuss Decimal Division • Solution Strategy

8 Divide with Two Decimal Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .441ACTIVITIES Explore Place Shifts • Solution Strategy

9 Division Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .449ACTIVITIES Divide by Whole Numbers and Decimals • Real World Problems


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10 Distinguish Between Multiplication and Division . . . . . . . . . . . . . . . . . . . . . . . . . . . .455ACTIVITIES Identify the Operation • Compare Decimal and Whole Number Operations • Multiplication and Division Mixed Practice

11 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .463ACTIVITIES Math and Currency • Use Reasoning • Establish a Position


for Lessons 6, 7, 8, 9, 10, 11


UNIT

6 Operations and Word ProblemsOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 473A

BIG IDEA 1 Equations and Problem Solving

Common Core State Standards CC.5.NBT.4, CC.5.NBT.5, CC.5.NBT.6, CC.5.NBT.7, CC.5.NF.1, CC.5.NF.2, CC.5.NF.4, CC.5.NF.4a, CC.5.NF.4b, CC.5.NF.6, CC.5.NF.7, CC.5.NF.7a, CC.5.NF.7b, CC.5.NF.7c

1 Situation and Solution Equations for Addition and Subtraction . . . . . . . . . . . . . . . .473ACTIVITIES Write Situation Equations • Practice Solving Problems

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2 Situation and Solution Equations for Multiplication and Division. . . . . . . . . . . . . . .481ACTIVITIES Write Situation Equations • Practice Solving Problems

3 Write Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .489ACTIVITIES Write Multiplication Word Problems • Write Division Word Problems

4 Determine Reasonable Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .495ACTIVITIES Use Rounding, Estimation, and Mental Math • Use Benchmark Fractions and Predictions

Unit 6 Quick Quiz 1 FORMATIVE ASSESSMENT



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BIG IDEA 2 Comparison Word Problems

Common Core State Standards CC.5.NBT.5, CC.5.NBT.6, CC.5.NBT.7, CC.5.NF.2, CC.5.NF.5, CC.5.NF.5a, CC.5.NF.5b, CC.5.NF.6, CC.5.NF.7c

5 Language of Comparison Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .503ACTIVITIES Explore Comparison Situations • Multiplicative Comparisons with Misleading Language

6 Multiplicative Comparison Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .511ACTIVITIES Model Multiplicative Comparison Problems • Scaling and Multiplication

7 Types of Comparison Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .519ACTIVITIES Compare Different Comparison Problems • Solve Comparison Problems


for Lessons 5, 6, 7

BIG IDEA 3 Problems with More Than One Step

Common Core State Standards CC.5.OA.1, CC.5.NBT.5, CC.5.NBT.6, CC.5.NBT.7, CC.5.NF.2, CC.5.NF.3, CC.5.NF.6, CC.5.NF.7c

8 Equations and Parentheses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .527ACTIVITIES Parentheses as Grouping Symbols • Analyze Two-Step Word Problems • Determine Relevant Information

9 Multistep Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .535ACTIVITY Solve Multistep Problems

10 Practice Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .541ACTIVITY Solve Multistep Problems

11 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .547ACTIVITIES Math and Gymnastics • Use Reasoning • Establish a Position




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UNIT

7 Algebra, Patterns, and Coordinate GraphsOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 557A

BIG IDEA 1 Algebraic Reasoning and Expressions

Common Core State Standards CC.5.OA.1, CC.5.OA.2

1 Read and Write Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .557ACTIVITIES Discuss Expressions • Order of Operations and Expressions

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2 Simplify Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .563ACTIVITIES Use Order of Operations to Simplify • Expressions with Grouping Symbols

3 Evaluate Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .569ACTIVITIES Evaluate Expressions with Variables • Expressions for Real World Situations


for Lessons 1, 2, 3

BIG IDEA 2 Patterns and Graphs

Common Core State Standards CC.5.OA.1, CC.5.OA.2, CC.5.OA.3, CC.5.G.1, CC.5.G.2

4 Patterns and Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .575ACTIVITIES Generate Numerical Patterns • Real World Situations

5 The Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .583ACTIVITIES Locate Points • Plot Points • Distance and the Coordinate Plane

6 Graph Ordered Pairs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .593ACTIVITY Generate and Graph Ordered Pairs

7 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .599ACTIVITIES Math and Constellations • Use Reasoning • Establish a Position





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UNIT

8 Measurement and GeometryOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 609A

BIG IDEA 1 Measurements and Data

Common Core State Standards CC.5.MD.1, CC.5.MD.2

1 Convert Metric Units of Length. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .609ACTIVITIES Converting Metric Units of Length • Hidden Information • Multistep Problem Solving

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2 Metric Units of Liquid Volume. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .617ACTIVITIES Convert Metric Units of Liquid Volume • Solve Multistep Real World Problems

3 Metric Units of Mass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .623ACTIVITIES Convert Metric Units of Mass • Solve Multistep Real World Problems

4 Customary Units of Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .629ACTIVITIES Inches, Feet, and Yards • Solve Multistep Problems

5 Customary Measures of Liquid Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .635ACTIVITIES Customary Measures of Liquid Volume • Solve Multistep Problems

6 Customary Units of Weight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .641ACTIVITIES Customary Measures of Weight • Solve Multistep Problems

7 Read and Make Line Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .647ACTIVITIES Line Plots and Whole Numbers • Line Plots with Fractions


for Lessons 1, 2, 3, 4, 5, 6, 7

BIG IDEA 2 Area and Volume

Common Core State Standards CC.5.NF.4b, CC.5.MD.3, CC.5.MD.3a, CC.5.MD.3b, CC.5.MD.4, CC.5.MD.5, CC.5.MD.5a, CC.5.MD.5b, CC.5.MD.5c

8 Perimeter and Area of Rectangles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .653ACTIVITIES Compare Perimeter and Area • Find an Unknown Side Length • Practice and Problem Solving

9 Cubic Units and Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .663ACTIVITIES Unit Cubes and Volume • Volume and Cubic Units • Volume and Improvised Units


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10 Visualize Volume. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .671ACTIVITIES Count Layers to Determine Volume • Calculate Volume

11 Introduce Volume Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .677ACTIVITIES Develop a Formula for Volume • Find an Unknown Edge Length

12 Relate Length, Area, and Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .683ACTIVITIES Applications of Length, Area, and Volume • Real World Problems

13 Volume of Composite Solid Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .689ACTIVITY Volume of Composite Three-Dimensional Figures


for Lessons 8, 9, 10, 11, 12, 13

BIG IDEA 3 Classify Geometric Figures

Common Core State Standards CC.5.MD.3, CC.5.MD.5, CC.5.MD.5b, CC.5.G.3, CC.5.G.4

14 Attributes of Quadrilaterals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .695ACTIVITIES Reason About Quadrilateral Attributes • Sort Quadrilaterals

15 Attributes of Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .705ACTIVITIES Reason About Triangles • Sort Triangles

16 Attributes of Two-Dimensional Shapes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .713ACTIVITIES Two-Dimensional Shapes • Sort Two-Dimensional Shapes

17 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .721ACTIVITIES Math and Aquariums • Use Reasoning • Establish a Position


for Lessons 14, 15, 16, 17


Appendix Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T1

Posters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T2

Student Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T6

Teacher Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .T13

xlii | Volume 2 Contents


volume 1 unit 1 addition and subtraction with...

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