Pacing Guide ContentsIntroduction Common Core State Standards

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VOLUME 1

UNIT

1Addition and Subtraction Within 20

Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1AThe Learning Community: Beginning the Year. . . . . . . . . . . . . . . . . . . . . . . . . 1VV

BIG IDEA 1 Strategies for Addition and Subtraction

Common Core State Standards CC.2.OA.1, CC.2.OA.2, CC.2.OA.3, CC.2.NBT.5, CC.2.NBT.6, CC.2.NBT.9

1 Represent Addition and Subtraction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1ACTIVITIES Relate Addition and Subtraction • Practice Relating Equations and Math Mountains

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2 Relate Addition and Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11ACTIVITIES Find and Discuss Teen Math Mountains • Practice Addition and Subtraction

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3 Make-a-Ten Strategies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17ACTIVITIES Make a Ten with Coin Strips and Fingers • Solve and Discuss

4 Relate Unknown Addends and Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23ACTIVITIES Use Make a Ten to Find the Unknown Addend • Practice Finding Unknown Addends and Teen Totals

5 More Practice with Unknown Addends and Teen Totals. . . . . . . . . . . . . . . . . . . . . . . .31ACTIVITIES Unknown Addends in Addition and Subtraction • Use Teen Total Math Mountain Cards

6 Odd and Even Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .37ACTIVITIES Count by 2s • Classify Sets as Odd or Even

7 Strategies Using Doubles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .47ACTIVITY Use Doubles Strategies

8 Equations, Equation Chains, and Vertical Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .55ACTIVITIES Define Equation • Equation Chains • Vertical Form

9 Add Three or Four Addends . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .63ACTIVITIES Dive the Deep • Add Three Addends • Add Four Addends

Quick Quiz 1 FORMATIVE ASSESSMENT

for Lessons 1, 2, 3, 4, 5, 6, 7, 8, 9

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Pacing Guide ContentsIntroduction Common Core State Standards

BIG IDEA 2 Addition and Subtraction Situations

Common Core State Standards CC.2.OA.1, CC.2.OA.2, CC.2.NBT.5, CC.2.NBT.6

10 Add To and Take From Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .71ACTIVITY Represent Word Problems

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11 Add To and Take From Problems—Unknown in All Positions . . . . . . . . . . . . . . . . . . .77ACTIVITIES Write Add To and Take From Word Problems • Solve Add To and Take From Word Problems

12 Put Together/Take Apart Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .85ACTIVITIES Introduce Put Together/Take Apart Problems • Solve Put Together/Take Apart Problems

13 Special Put Together/Take Apart Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .91ACTIVITIES Discuss Group Names • Solve Special Put Together/Take Apart Problems

14 Compare Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .99ACTIVITY Represent and Solve Compare Word Problems

15 More Compare Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .105ACTIVITIES Solve Compare Word Problems • Create and Solve Compare Word Problems

16 Mixed Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .111ACTIVITIES Solve Word Problems • Green Make-a-Ten Cards

Quick Quiz 2 FORMATIVE ASSESSMENT

for Lessons 10, 11, 12, 13, 14, 15, 16

BIG IDEA 3 More Complex Situations

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

17 Problems with Not Enough, Extra, or Hidden Information. . . . . . . . . . . . . . . . . . . . .117ACTIVITIES Problems with Not Enough Information • Problems with Extra Information • Problems with Hidden Information

18 More Complex Compare Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .127ACTIVITY More Complex Compare Problems

19 Two-Step Word Problems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .133ACTIVITIES Model Two-Step Word Problems • Solve Two-Step Word Problems

20 Mixed Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .141ACTIVITIES Solve Mixed Word Problems • Blue Make-a-Ten Cards

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21 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .147ACTIVITIES Math and Healthy Food • Use Reasoning • Establish a Position

Quick Quiz 3 FORMATIVE ASSESSMENT

for Lessons 17, 18, 19, 20, 21

UNIT 1 Review and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153

UNIT

2 Addition Within 200

Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159A

BIG IDEA 1 Use Place Value

Common Core State Standards CC.2.OA.1, CC.2.OA.2, CC.2.NBT.1, CC.2.NBT.1a, CC.2.NBT.2, CC.2.NBT.3, CC.2.NBT.4, CC.2.NBT.5, CC.2.NBT.7, CC.2.NBT.8, CC.2.NBT.9

1 Ones, Tens, and Hundreds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .159ACTIVITY Ones, Tens, Hundreds

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2 Draw Quick Tens and Quick Hundreds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .169ACTIVITIES Draw Numbers to 200 • Add Tens or Ones and Solve Word Problems

3 Represent Numbers in Different Ways . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .177ACTIVITIES Review Quick Hundred, Quick Tens, and Ones • Expanded Form • Number Names for Numbers to 100

4 Combine Ones, Tens, and Hundreds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .185ACTIVITIES Ten-Based Word Problems • Extend Expanded Form • Add 1, 10, or 100 to a Number

5 Compare Numbers Within 200. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .193ACTIVITY Compare Numbers Within 200

Quick Quiz 1 FORMATIVE ASSESSMENT

for Lessons 1, 2, 3, 4, 5

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Pacing Guide ContentsIntroduction Common Core State Standards

BIG IDEA 2 Add 2-Digit Numbers

Common Core State Standards CC.2.OA.1, CC.2.NBT.1, CC.2.NBT.1a, CC.2.NBT.6, CC.2.NBT.7, CC.2.NBT.9

6 Explore 2-Digit Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .201ACTIVITY Stock the Shelves at the Grocery Store

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7 Addition—Show All Totals Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .209ACTIVITY The Grocery Store

8 Addition— New Groups Below Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .217ACTIVITIES Introduce the New Groups Below Method • Discuss the New Groups Below Method

9 Practice Addition with Sums over 100 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .223ACTIVITY Solve and Discuss

10 Choose an Addition Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .229ACTIVITY Addition Methods

Quick Quiz 2 FORMATIVE ASSESSMENT

for Lessons 6, 7, 8, 9, 10

BIG IDEA 3 Money and Fluency for Addition Within 100

Common Core State Standards CC.2.OA.1, CC.2.NBT.1, CC.2.NBT.1a, CC.2.NBT.2, CC.2.NBT.4, CC.2.NBT.5, CC.2.NBT.6, CC.2.NBT.7, CC.2.MD.8

11 Buy with Pennies and Dimes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .235ACTIVITIES Money Amounts with Dollars, Dimes, and Pennies • Exact Money Amounts

12 Pennies, Nickels, and Dimes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .243ACTIVITIES Count by 5s • Nickels and Pennies • Dimes, Nickels, and Pennies

13 Fluency: Addition Within 100 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .253ACTIVITIES Add Within 100 • Fluency Activity for 2-Digit Addition

14 Add Three or Four 2-Digit Addends . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .259ACTIVITY Adding More than Two Addends

15 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .267ACTIVITIES Math and Recycling • Use Reasoning • Establish a Position

Quick Quiz 3 FORMATIVE ASSESSMENT

for Lessons 11, 12, 13, 14, 15

UNIT 2 Review and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273

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UNIT

3 Length and Shapes

Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 279A

BIG IDEA 1 Length and Shapes

Common Core State Standards CC.2.OA.2, CC.2.NBT.6, CC.2.MD.1, CC.2.MD.3, CC.2.MD.4, CC.2.G.1

1 Measure Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .279ACTIVITIES Centimeter Lengths and Partner Lengths • Measure Lengths with a Ruler

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2 Recognize and Draw Shapes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .287ACTIVITIES Observe and Draw Squares • Observe and Draw Rectangles • Observe and Draw Other Shapes

3 Estimate and Measure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .295ACTIVITY Estimate and Measure Squares and Rectangles

4 Draw, Estimate, and Measure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .301ACTIVITIES Draw Shapes with a Given Number of Angles • Estimate and Measure Sides of Triangles

5 Draw Using Faces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .307ACTIVITIES Recognize and Draw Faces • Recognize and Identify Shapes

Quick Quiz 1 FORMATIVE ASSESSMENT

for Lessons 1, 2, 3, 4, 5

BIG IDEA 2 Estimate, Measure, and Make Line Plots

Common Core State Standards CC.2.NBT.4, CC.2.NBT.5, CC.2.MD.1, CC.2.MD.2, CC.2.MD.3, CC.2.MD.4, CC.2.MD.9, CC.2.G.1

6 Estimate and Measure with Centimeters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .315ACTIVITIES Introduce Meters • Measure with Centimeters • Make Line Plots

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7 Estimate and Measure with Inches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .323ACTIVITIES Estimate and Measure in Inches • Inches, Feet, and Yards • Compare Height in Inches and Centimeters Using Line Plots

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Pacing Guide ContentsIntroduction Common Core State Standards

8 Measure for and Make Line Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .331ACTIVITIES Measure and Make Line Plots • Relationship of the Measure to Length Unit

9 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .339ACTIVITIES Math and Quilts • Use Reasoning • Establish a Position

Quick Quiz 2 FORMATIVE ASSESSMENT

for Lessons 6, 7, 8, 9

UNIT 3 Review and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345

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VOLUME 2

UNIT

4 Subtract 2-Digit Numbers

Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351A

BIG IDEA 1 Totals of Mixed Coins and Bills

Common Core State Standards CC.2.NBT.7, CC.2.MD.8

1 Explore Quarters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .351ACTIVITIES Explore and Make Quarters • Count by 25s • Coin Shifts

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2 Explore Dollars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .357ACTIVITIES Explore Dollars • Count Money Amounts

Quick Quiz 1 FORMATIVE ASSESSMENT

for Lessons 1, 2

BIG IDEA 2 Multidigit Subtraction Strategies

Common Core State Standards CC.2.OA.1, CC.2.NBT.1, CC.2.NBT.1a, CC.2.NBT.1b, CC.2.NBT.5, CC.2.NBT.7, CC.2.NBT.9, CC.2.MD.8

3 Addends and Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .365ACTIVITIES Find Unknown Addends • Explore Numbers That Add to 100 • Subtract from 100

4 Subtraction Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .373ACTIVITIES Solve and Create Subtraction Word Problems • Decide When to Ungroup

5 Two Methods of Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .379ACTIVITIES The Expanded Method • The Ungroup First Method

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6 Practice and Explain a Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .389ACTIVITY Choose a Method

7 Subtract from 200 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .395ACTIVITIES The Expanded Method • The Ungroup First Method • Where Is the Ungrouping?

8 Ungroup from the Left or from the Right . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .403ACTIVITY Decide Whether to Ungroup

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9 Zero in the Ones or Tens Place . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .409ACTIVITIES Subtract with Zeros • Practice Subtracting with a Zero

10 Model Subtraction with Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .415ACTIVITIES The Yard Sale • Use Decimal Notation for Dollars and Cents

11 Fluency: Subtraction Within 100 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .421ACTIVITY Subtract Within 100

Quick Quiz 2 FORMATIVE ASSESSMENT

for Lessons 3, 4, 5, 6, 7, 8, 9, 10, 11

BIG IDEA 3 Word Problems: Addition and Subtraction Within 100

Common Core State Standards CC.2.OA.1, CC.2.OA.2, CC.2.NBT.1, CC.2.NBT.1a, CC.2.NBT.2, CC.2.NBT.5, CC.2.NBT.6, CC.2.NBT.7, CC.2.NBT.9, CC.2.MD.1, CC.2.MD.3, CC.2.MD.4, CC.2.MD.5, CC.2.MD.8

12 Word Problems with Addition and Subtraction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .427ACTIVITIES Compare Addition and Subtraction Methods • Solve Addition and Subtraction Word Problems

13 Equations with Greater Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .433ACTIVITIES Math Mountain Equations • Addition and Subtraction Word Problems Within 20

14 Practice Addition and Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .439ACTIVITIES Fluency Practice • Solve Word Problems

15 Buy and Sell with One Dollar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .445ACTIVITIES Introduce the Adding Up Method • The Juice Bar

16 Word Problems with Unknown Addends . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .451ACTIVITIES Find Unknown Addends • Solve Unknown Addend Word Problems

17 More Word Problems with Unknown Addends . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .457ACTIVITIES Review the Adding Up Method • Solve Word Problems

18 Start Unknown Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .463ACTIVITY Complex Word Problems

19 Compare Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .469ACTIVITY Compare Problems

20 Mixed Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .475ACTIVITY Solve Mixed Word Problems

21 Two-Step Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .483ACTIVITY Solve Two-Step Problems

22 More Two-Step Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .489ACTIVITY Solve Two-Step Problems

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23 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .495ACTIVITIES Math and Dinosaurs • Use Reasoning • Establish a Position

Quick Quiz 3 FORMATIVE ASSESSMENT

for Lessons 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23

UNIT 4 Review and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 501

UNIT

5 Time, Graphs, and Word ProblemsOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 507A

BIG IDEA 1 Time

Common Core State Standards CC. 2.NBT.2, CC.2.MD.7, CC.2.G.3

1 Hours and AM or PM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .507ACTIVITIES Discuss Time and Clocks • Time to the Hour

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2 Hours and Minutes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .515ACTIVITIES Count by Fives to Tell Minutes • Tell Time to 5 Minutes • Introduce the Daily Routine for Time

Quick Quiz 1 FORMATIVE ASSESSMENT

for Lessons 1, 2

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BIG IDEA 2 Picture Graphs

Common Core State Standards CC. 2.OA.1, CC.2.OA.2, C.2.MD.10

3 Discuss Picture Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .523ACTIVITY Make Picture Graphs

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4 Read Picture Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .529ACTIVITY Solve Word Problems from a Graph

Quick Quiz 2 FORMATIVE ASSESSMENT

for Lessons 3, 4

BIG IDEA 3 Bar Graphs

Common Core State Standards CC. 2.OA.1, CC.2.OA.2, CC.2.NBT.4, CC.2.NBT.5, CC.2.NBT.6, CC.2.MD.10

5 Introduce Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .535ACTIVITIES Bar Graphs • Make Bar Graphs

6 Read Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .543ACTIVITY Horizontal and Vertical Bar Graphs

7 Solve Problems Using a Bar Graph . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .551ACTIVITIES Bar Graphs and Problem Solving • Sort Information

8 Collect and Graph Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .559ACTIVITIES Collect Data • Graph Collected Data

9 Make Graphs and Interpret Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .565ACTIVITIES Interpret Data from Graphs • More Problem Solving Using Bar Graphs

10 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .571ACTIVITIES Math and Pets • Use Reasoning • Establish a Position

Quick Quiz 3 FORMATIVE ASSESSMENT

for Lessons 5, 6, 7 ,8, 9, 10

UNIT 5 Review and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 577

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UNIT

6 3-Digit Addition and SubtractionOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 583A

BIG IDEA 1 Understanding Numbers to 1,000

Common Core State Standards CC.2.NBT.1, CC.2.NBT.1a, CC.2.NBT.1b, CC.2.NBT.2, CC.2.NBT.3, CC.2.NBT.4, CC.2.NBT.7, CC.2.NBT.8, CC.2.NBT.9, CC.2.MD.8

1 Count Numbers to 1,000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .583ACTIVITIES Count to 1,000 • Represent 3-Digit Numbers • Count Over the Hundreds

Family Letter

FAMILY LETTER

2 Place Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .591ACTIVITIES Introduce New Quick Practices • Review Boxes, Sticks, and Circles • Expanded Form

3 Compare Numbers Within 999. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .599ACTIVITY Compare 3-Digit Numbers

4 Count by Ones and by Tens . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .605 ACTIVITIES Count by Ones and by Tens • Introduce New Quick Practices • Write Word Names for 100 to 1,000

5 Add Ones, Tens, and Hundreds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .613ACTIVITIES Add Numbers with 1, 2, and 3 Digits • Word Problems with Ones, Tens, and Hundreds

Quick Quiz 1 FORMATIVE ASSESSMENT

for Lessons 1, 2, 3, 4, 5

BIG IDEA 2 Adding to 1,000

Common Core State Standards CC.2.OA.1, CC.2.NBT.7, CC.2.NBT.9

6 3-Digit Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .619ACTIVITIES Solve and Explain Word Problems • Practice 3-Digit Addition

Family Letter

FAMILY LETTER

7 Discuss 3-Digit Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .629ACTIVITIES Explain Addition Methods • Make a Thousand • Hidden Picture Puzzle

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Pacing Guide ContentsIntroduction Common Core State Standards

8 Word Problems: Unknown Addends . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .637ACTIVITIES Add Up to Find an Unknown Addend • Word Problems with Unknown Addends

Quick Quiz 2 FORMATIVE ASSESSMENT

for Lessons 6, 7, 8

BIG IDEA 3 3-Digit Subtraction

Common Core State Standards CC.2.OA.1, CC.2.NBT.7, CC.2.NBT.9

9 Subtract from Hundreds Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .643ACTIVITIES Solve Subtraction Problems • Subtracting from 1,000

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FAMILY LETTER

10 Subtract from Numbers with Zeros. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .653ACTIVITY Subtraction with One or More Zeros

11 Subtract from Any 3-Digit Number . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .661ACTIVITIES Ungroup the Top Number and Subtract • Find and Correct Errors

12 Practice Ungrouping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .669ACTIVITY When Must I Ungroup?

Quick Quiz 3 FORMATIVE ASSESSMENT

for Lessons 9, 10, 11, 12

BIG IDEA 4 3-Digit Addition and Subtraction

Common Core State Standards CC.2.OA.1, CC.2.NBT.4, CC.2.NBT.5, CC.2.NBT.7, CC.2.NBT.9

13 Relationships Between Addition and Subtraction Methods. . . . . . . . . . . . . . . . . . . .675ACTIVITIES Decide Whether to Add or Subtract • Use the Opposite Operation to Check

14 Mixed Addition and Subtraction Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . .681ACTIVITIES Addition and Subtraction Exercises • Practice Solving Word Problems

15 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .689ACTIVITIES Math and Artists • Use Reasoning • Establish a Position

Quick Quiz 4 FORMATIVE ASSESSMENT

for Lessons 13, 14, 15

UNIT 6 Review and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 695

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CO

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UNIT

7Arrays, Equal Shares, and Adding or Subtracting Lengths

Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 701A

BIG IDEA 1 Arrays and Equal Shares

Common Core State Standards CC.2.OA.3, CC.2.OA.4, CC.2.MD.1, CC.2.G.1, CC.2.G.2, CC.2.G.3

1 Arrays, Partitioned Rectangles, and Equal Shares . . . . . . . . . . . . . . . . . . . . . . . . . . . .701ACTIVITIES Create Arrays • Partition Rectangles into Rows and Columns

Family Letter

FAMILY LETTER

2 Find Equal Shares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .713ACTIVITIES Fold Equal Shares • Draw Equal Shares

Quick Quiz 1 FORMATIVE ASSESSMENT

for Lessons 1, 2

BIG IDEA 2 Relate Addition and Subtraction to Length

Common Core State Standards CC.2.OA.1, CC.2.OA.4, CC.2.NBT.5, CC.2.NBT.6, CC.2.MD.5, CC.2.MD.6, CC.2.G1, CC.2.G2, CC.2.G3

3 Length Word Problems and Number Line Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . .725ACTIVITIES Adding and Subtracting • Number Line Diagrams

4 Add Three and Four Lengths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .735ACTIVITIES Developing Strategies • Posing and Solving Problems

5 More Length Word Problems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .745ACTIVITIES Problems About Length • Use Number Line Diagrams

6 Focus on Mathematical Practices. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .753ACTIVITIES Math and Flags • Use Reasoning • Establish a Position

Quick Quiz 2 FORMATIVE ASSESSMENT

for Lessons 3, 4, 5, 6

UNIT 7 Review and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 759

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

Posters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T3

Student Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . T8

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

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