Table of Contents BookletGrades K–6

2012

GO Math! is the new Kindergarten – Grade 6

elementary mathematics program developed by

Houghton Mifflin Harcourt to support the

Common Core State Standards. With an emphasis

on critical math areas, depth of understanding,

interactive lessons, and great teacher and student

resources, GO Math! is THE program for your

classroom.

Table of ConTenTs

KindErgarTEn

TablE of ConTEnTs

KindergarTen

number and operaTionsCritical Area: Representing, relating, and operating on whole numbers, initially with sets of objects

Chapter 1 Represent, Count, and Write Numbers 0 to 5

1.1 Hands On: Model and Count 1 and 21.2 Count and Write 1 and 21.3 Hands On: Model and Count 3 and 41.4 Count and Write 3 and 4Mid-Chapter Checkpoint1.5 Hands On: Model and Count 51.6 Count and Write 51.7 HandsOn:Algebra•WaystoMake51.8 Hands On: Count and Order to 51.9 Problem Solving: Understand 01.10 Count and Write 0Chapter 1 Review/TestPerformanceTask

Chapter 2 Compare Numbers to 5

2.1 Hands On: Same Number2.2 Hands On: Greater Than2.3 Hands On: Less ThanMid-Chapter Checkpoint2.4 Problem Solving: Compare by Matching Sets to 52.5 Compare by Counting Sets to 5Chapter 2 Review/TestPerformanceTask

Chapter 3 Represent, Count, and Write Numbers 6 to 9

3.1 Hands On: Model and Count 63.2 Count and Write 63.3 Hands On: Model and Count 73.4 Count and Write 7Mid-Chapter Checkpoint3.5 Hands On: Model and Count 83.6 Count and Write 83.7 Hands On: Model and Count 93.8 Count and Write 93.9 Problem Solving: Numbers to 9

Chapter 3 Review/TestPerformanceTask

Chapter 4 Represent and Compare Numbers to 10

4.1 Hands On: Model and Count 104.2 Count and Write 104.3 HandsOn:Algebra•WaystoMake104.4 Count and Order to 10Mid-Chapter Checkpoint4.5 Problem Solving: Compare by Matching Sets to 104.6 Compare by Counting Sets to 104.7 Compare Two Numbers Chapter 4 Review/TestPerformanceTask

Chapter 5 Addition

5.1 Problem Solving: Act Out Addition Problems5.2 Addition Expressions5.3 More Addition Expressions5.4 Hands On: Algebra: Model and Draw Addition ProblemsMid-Chapter Checkpoint5.5 Algebra: Write Addition Sentences for 105.6 Algebra: Write Addition Sentences5.7 Algebra: Write More Addition Sentences5.8 HandsOn:Algebra•NumberPairsto55.9 HandsOn:Algebra•NumberPairsfor6and75.10HandsOn:Algebra•NumberPairsfor85.11HandsOn:Algebra•NumberPairsfor95.12HandsOn:Algebra•NumberPairsfor10Chapter 5 Review/TestPerformanceTask

Chapter 6 Subtraction

6.1 Problem Solving: Act Out Subtraction Problems6.2 Subtraction Expressions6.3 More Subtraction Expressions6.4 HandsOn:Algebra•ModelandDraw

Subtraction ProblemsMid-Chapter Checkpoint6.5 Algebra: Write Subtraction Sentences6.6 Algebra: Write More Subtraction Sentences 6.7 HandsOn:Algebra•AdditionandSubtractionChapter 6 Review/TestPerformanceTask

Chapter 7 Represent, Count, and Write 11 to 19

7.1 Hands On: Model and Count 11 and 127.2 Count and Write 11 and 12

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7.3 Hands On: Model and Count 13 and 147.4 Count and Write 13 and 147.5 Hands On: Model, Count, and Write 157.6 Problem Solving: Use Numbers to 15Mid-Chapter Checkpoint7.7 Hands On: Model and Count 16 and 177.8 Count and Write 16 and 177.9 Hands On: Model and Count 18 and 197.10 Count and Write 18 and 19Chapter 7 Review/TestPerformanceTask

Chapter 8 Represent, Count, and Write 20 and Beyond

8.1 Hands On: Model and Count 208.2 Count and Write 208.3 Count and Order to 208.4 Problem Solving: Compare Numbers to 20Mid-Chapter Checkpoint8.5 Count to 50 by Ones8.6 Count to 100 by Ones8.7 Count to 100 by Tens8.8 Count by TensChapter 8 Review/TestPerformanceTask

geomeTry and posiTionsCritical Area: Describing shapes and space

Chapter 9 Identify and Describe Two- Dimensional Shapes

9.1 Identify and Name Circles9.2 Describe Circles9.3 Identify and Name Squares9.4 Describe Squares9.5 Identify and Name Triangles9.6 Describe TrianglesMid-Chapter Checkpoint9.7 Identify and Name Rectangles9.8 Describe Rectangles9.9 Identify and Name Hexagons9.10 Describe Hexagons9.11HandsOn:Algebra•CompareTwo-DimensionalShapes9.12 Problem Solving: Draw to Join ShapesChapter 9 Review/TestPerformanceTask

Chapter 10 Identify and Describe Three- Dimensional Shapes

10.1 Three-DimensionalShapes10.2 Hands On: Identify, Name, and Describe Spheres10.3 Hands On: Identify, Name, and Describe Cubes10.4 Hands On: Identify, Name, and Describe Cylinders10.5 Hands On: Identify, Name, and Describe ConesMid-Chapter Checkpoint10.6 ProblemSolving:DrawTwo-andThree-

Dimensional Shapes10.7 Above and Below10.8 Beside and Next To10.9 In Front Of and BehindChapter 10 Review/TestPerformanceTask

measuremenT and daTaCritical Area: Representing, relating, and operating on whole numbers, initially with sets of objects

Chapter 11 Measurement

11.1 Hands On: Compare Lengths11.2 Hands On: Compare Heights11.3 Problem Solving: Direct ComparisonMid-Chapter Checkpoint11.4 Hands On: Compare Weights11.5 Length, Height, and WeightChapter 11 Review/TestPerformanceTask

Chapter 12 Classifying and Data

12.1 HandsOn:Algebra•ClassifyandCountbyColor12.2 Hands On: Algebra: Classify and Count by Shape12.3 HandsOn:Algebra•ClassifyandCountbySizeMid-Chapter Checkpoint12.4 MakeaConcreteGraph12.5 Read a Concrete Graph12.6 Problem Solving: Sort and CountChapter 12 Review/TestPerformanceTask

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gradE 1

Table of ConTenTs

grade 1

TablE of ConTEnTs

operaTions and algebraiC ThinKingCritical Area: Developing understanding of addition, subtraction, and strategies for addition and subtraction within 20

Chapter 1 Addition Concepts

1.1 Algebra: Use Pictures to Add To1.2 Hands On: Model Adding To1.3 Hands On: Model Putting Together1.4 Problem Solving: Model AdditionMid-Chapter Checkpoint1.5 Algebra: Add Zero1.6 HandsOn:Algebra•AddinAnyOrder1.7 HandsOn:Algebra•PutTogetherNumbersto101.8 Addition to 10Chapter 1 Review/TestPerformanceTask

Chapter 2 Subtraction Concepts

2.1 UsePicturestoShowTakingFrom2.2 HandsOn:ModelTakingFrom2.3 HandsOn:ModelTakingApart2.4 Problem Solving: Model Subtraction2.5 Use Pictures and Subtraction to Compare2.6 Hands On: Subtract to CompareMid-Chapter Checkpoint2.7 Subtract All or Zero 2.8 HandsOn:Algebra•TakeApartNumbers2.9 Subtraction from 10 or LessChapter 2 Review/TestPerformanceTask

Chapter 3 Addition Strategies

3.1 Algebra: Add in Any Order3.2 Count On3.3 Hands On: Add Doubles3.4 Hands On: Use Doubles to Add3.5 Hands On: Doubles Plus 1 and Doubles Minus 13.6 Practice the StrategiesMid-Chapter Checkpoint3.7 Hands On: Add 10 and More3.8 HandsOn:Makea10toAdd3.9 UseMakeaTentoAdd

3.10 Hands On: Algebra: Add 3 Numbers3.11 Algebra: Add 3 Numbers3.12 Problem Solving: Use Addition StrategiesChapter 3 Review/TestPerformanceTask

Chapter 4 Subtraction Strategies

4.1 CountBack4.2 HandsOn:ThinkAdditiontoSubtract4.3 UseThinkAdditiontoSubtractMid-Chapter Checkpoint4.4 HandsOn:Makea10toSubtract4.5 BreakAparttoSubtract4.6 Problem Solving: Use Subtraction StrategiesChapter 4 Review/TestPerformanceTask

Chapter 5 Addition and Subtraction Relationships

5.1 Problem Solving: Add or Subtract5.2 Hands On: Record Related Facts5.3 Identify Related Facts5.4 UseAdditiontoCheckSubtractionMid-Chapter Checkpoint5.5 HandsOn:Algebra•MissingNumbers5.6 Algebra: Use Related Facts5.7 Choose an Operation5.8 HandsOn:Algebra•WaystoMakeNumbersto205.9 Algebra: Equal and Not Equal5.10 Basic Facts to 20Chapter 5 Review/TestPerformanceTask

number and operaTions in base TenCritical Area: Developing understanding of whole number relationships and place value, including grouping in tens and ones

Chapter 6 Count and Model Numbers

6.1 Count by Ones to 1206.2 Count by Tens to 1206.3 Understand Ten and Ones6.4 HandsOn:MakeTenandOnes6.5 Hands On: TensMid-Chapter Checkpoint6.6 Hands On: Tens and Ones to 506.7 Hands On: Tens and Ones to 1006.8 Problem Solving: Show Numbers in Different Way

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6.9 Model, Read, and Write Numbers from 100 to 1106.10 Model, Read, and Write Numbers from 110 to 120Chapter 6 Review/TestPerformanceTask

Chapter 7 Compare Numbers

7.1 HandsOn:Algebra•GreaterThan7.2 HandsOn:Algebra•LessThan7.3 HandsOn:Algebra•UseSymbolstoCompareMid-Chapter Checkpoint7.4 Problem Solving: Compare Numbers7.5 Hands On: 10 Less, 10 MoreChapter 7 Review/TestPerformanceTask

Chapter 8 Two-Digit Addition and Subtraction

8.1 Add and Subtract within 208.2 Hands On: Add Tens8.3 Hands On: Subtract TensMid-Chapter Checkpoint8.4 Use a Hundred Chart to Add8.5 Hands On: Use Models to Add8.6 HandsOn:MakeTentoAdd8.7 Hands On: Use Place Value to Add 8.8 Problem Solving: Addition Word Problems8.9 Practice Addition and SubtractionChapter 8 Review/TestPerformanceTask

measuremenT and daTaCritical Areas: Developing understanding of linear measurement and measuring lengths as iterating length units

Chapter 9 Measurement

9.1 Hands On: Order Length9.2 Indirect Measurement9.3 Hands On: Use Nonstandard Units to Measure Length9.4 HandsOn:MakeaNonstandardMeasuringTool9.5 Problem Solving: Measure and CompareMid-Chapter Checkpoint9.6 Time to the Hour9.7 Time to the Half Hour9.8 Hands On: Tell Time to the Hour and Half Hour9.9 Practice Time to the Hour and Half HourChapter 9 Review/TestPerformanceTask

Chapter 10 Represent Data

10.1 Read Picture Graphs10.2 HandsOn:MakePictureGraphs10.3 Read Bar Graphs10.4 HandsOn:MakeBarGraphsMid-Chapter Checkpoint10.5 Read Tally Charts10.6 HandsOn:MakeTallyCharts10.7 Problem Solving: Represent DataChapter 10 Review/TestPerformanceTask

geomeTryCritical Area: Reasoning about attributes of, and composing and decomposing geometric shapes

Chapter 11 Three-Dimensional Geometry

11.1 HandsOn:Three-DimensionalShapes11.2 CombineThree-DimensionalShapes11.3 MakeNewThree-DimensionalShapesMid-Chapter Checkpoint11.4 ProblemSolving:TakeApartThree-

Dimensional Shapes11.5 HandsOn:Two-DimensionalShapesonThree-

Dimensional Shapes Chapter 11 Review/TestPerformanceTask

Chapter 12 Two-Dimensional Geometry

12.1 SortTwo-DimensionalShapes12.2 HandsOn:DescribeTwo-DimensionalShapes12.3 HandsOn:CombineTwo-DimensionalShapes12.4 Combine More Shapes12.5 ProblemSolving:MakeNewTwo-DimensionalShapesMid-Chapter Checkpoint12.6 Find Shapes in Shapes12.7 TakeApartTwo-DimensionalShapes12.8 Equal or Unequal Parts12.9 Halves12.10 FourthsChapter 12 Review/TestPerformanceTask

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gradE 2

Table of ConTenTs

TablE of ConTEnTs

grade 2

number sense and plaCe ValueCritical Area: Extending understanding of base-tennotation

Chapter 1 Number Concepts

1.1 Hands On: Even and Odd Numbers1.2 Represent Even Numbers1.3 Understand Place Value1.4 Expanded Form1.5 Different Ways to Write NumbersMid-Chapter Checkpoint1.6 Different Names for Numbers1.7 Problem Solving: Tens and Ones1.8 Counting Patterns within 1001.9 Counting Patterns within 1,000Chapter 1 Review/TestPerformance Assessment

Chapter 2 Numbers to 1,000

2.1 Group Tens as Hundreds2.2 Explore3-DigitNumbers2.3 HandsOn:Model3-DigitNumbers2.4 Hundreds, Tens, and Ones2.5 Place Value to 1,0002.6 Number Names2.7 Different Forms of NumbersMid-Chapter Checkpoint2.8 Different Ways to Show Numbers2.9 CountOnandCountBackby10and1002.10 Algebra: Number Patterns2.11 Problem Solving: Compare Numbers2.12 Algebra: Compare NumbersChapter 2 Review/TestPerformance Assessment

addiTion and subTraCTionCritical Area: Building fluency with addition and subtraction

Chapter 3 Basic Facts and Relationships

3.1 Use Doubles Facts3.2 Practice Addition Facts3.3 MakeaTentoAdd3.4 Add 3 Addends

3.5 Relate Addition and Subtraction3.6 Practice Subtraction FactsMid-Chapter Checkpoint3.7 Using Ten to Subtract3.8 Use Drawings to Represent Problems3.9 Use Equations to Represent Problems3.10 Problem Solving: Equal Groups3.11 Repeated AdditionChapter 3 Review/TestPerformance Assessment

Chapter 4 2-Digit Addition

4.1 BreakApartOnestoAdd4.2 Use Compensation4.3 BreakApartAddendsasTensandOnes4.4 Model Regrouping for Addition4.5 ModelandRecord2-DigitAddition4.6 2-DigitAddition4.7 Practice2-DigitAdditionMid-Chapter Checkpoint4.8 Rewrite2-DigitAddition4.9 Problem Solving: Addition4.10 Write Equations to Represent Addition 4.11 Find Sums for 3 Addends4.12 Find Sums for 4 AddendsChapter 4 Review/TestPerformance Assessment

Chapter 5 2-Digit Subtraction

5.1 BreakApartOnestoSubtract5.2 BreakApartNumberstoSubtract5.3 Model Regrouping for Subtraction5.4 ModelandRecord2-DigitSubtraction5.5 2-DigitSubtraction5.6 Practice2-DigitSubtractionMid-Chapter Checkpoint5.7 Rewrite2-DigitSubtraction5.8 Add to Find Differences5.9 Problem Solving: Subtraction5.10 Write Equations to Represent Subtraction 5.11 Solve Multistep ProblemsChapter 5 Review/TestPerformance Assessment

Chapter 6 3-Digit Addition and Subtraction

6.1 DrawtoRepresent3-DigitAddition6.2 BreakApart3-DigitAddends6.3 3-DigitAddition:RegroupOnes

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6.4 3-DigitAddition:RegroupTens6.5 Addition: Regroup Ones and TensMid-Chapter Checkpoint6.6 ProblemSolving:3-DigitSubtraction6.7 3-DigitSubtraction:RegroupTens6.8 3-DigitSubtraction:RegroupHundreds6.9 Subtraction: Regroup Hundreds and Tens6.10 Regrouping with ZerosChapter 6 Review/TestPerformance Assessment

measuremenT and daTaCritical Area: Using standard units of measure

Chapter 7 Money and Time

7.1 Dimes,Nickels,andPennies7.2 Quarters7.3 Count Collections7.4 Hands On: Show Amounts in Two Ways7.5 One DollarMid-Chapter Checkpoint7.6 Amounts Greater than $17.7 Problem Solving: Money7.8 Time to the Hour and Half Hour7.9 Time to 5 Minutes7.10 Practice Telling Time7.11 A.M. and P.M.Chapter 7 Review/TestPerformance Assessment

Chapter 8 Length in Customary Units

8.1 Hands On: Measure with Inch Models8.2 HandsOn:MakeandUseaRuler8.3 Estimate Lengths in Inches8.4 Hands On: Measure with an Inch Ruler8.5 Problem Solving: Add and Subtract in InchesMid-Chapter Checkpoint8.6 Hands On: Measure in Inches and Feet8.7 Estimate Lengths in Feet8.8 Choose a Tool8.9 Display Measurement DataChapter 8 Review/TestPerformance Assessment

Chapter 9 Length in Metric Units

9.1 Hands On: Measure with a Centimeter Model9.2 Estimate Lengths in Centimeters9.3 Hands On: Measure with a Centimeter Ruler9.4 Problem Solving: Add and Subtract LengthsMid-Chapter Checkpoint9.5 Hands On: Centimeters and Meters9.6 Estimate Lengths in Meters9.7 Hands On: Measure and Compare LengthsChapter 9 Review/TestPerformance Assessment

Chapter 10 Data

10.1 Collect Data10.2 Read Picture Graphs10.3 MakePictureGraphsMid-Chapter Checkpoint10.4 Read Bar Graphs10.5 MakeBarGraphs10.6 Problem Solving: Display DataChapter 10 Review/TestPerformance Assessment

geomeTryCritical Area: Describeandanalyzeshapes

Chapter 11 Geometry and Fraction Concepts

11.1 Three-DimensionalShapes11.2 AttributesofThree-DimensionalShapes11.3 Two-DimensionalShapes11.4 AnglesinTwo-DimensionalShapes11.5 SortTwo-DimensionalShapes11.6 Hands On: Partition RectanglesMid-Chapter Checkpoint11.7 Equal Parts11.8 Show Equal Parts of a Whole11.9 Describe Equal Parts11.10 Problem Solving: Equal SharesChapter 11 Review/TestPerformance Assessment

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gradE 3

Table of ConTenTs

TablE of ConTEnTs

grade 3

Whole number operaTionsCritical Area: Developing understanding of multiplication and division within 100

Chapter 1 Addition and Subtraction Within 1,000

1.1 Algebra: Number Patterns1.2 Round to the Nearest Ten or Hundred1.3 Estimate Sums1.4 Mental Math Strategies for Addition1.5 Algebra: Use Properties to Add1.6 UsetheBreakApartStrategytoAdd1.7 Use Place Value to AddMid-Chapter Checkpoint1.8 Estimate Differences1.9 Mental Math Strategies for Subtraction1.10 Use Place Value to Subtract1.11 Combine Place Values to Subtract1.12 Problem Solving: Addition and SubtractionChapter 1 Review/TestPerformanceTask

Chapter 2 Represent and Interpret Data

2.1 ProblemSolving:OrganizeData2.2 Use Picture Graphs2.3 MakePictureGraphsMid-Chapter Checkpoint2.4 Use Bar Graphs2.5 MakeBarGraphs2.6 Solve Problems Using Data2.7 UseandMakeLinePlotsChapter 2 Review/TestPerformanceTask

Chapter 3 Understand Multiplication

3.1 Count Equal Groups3.2 Algebra: Relate Addition and Multiplication3.3 SkipCountonaNumberLineMid-Chapter Checkpoint3.4 Problem Solving: Model Multiplication3.5 Model with Arrays3.6 Algebra: Commutative Property of Multiplication3.7 Algebra: Multiply with 1 and 0Chapter 3 Review/TestPerformanceTask

Chapter 4 Multiplication Facts and Strategies

4.1 Multiply with 2 and 44.2 Multiply with 5 and 104.3 Multiply with 3 and 64.4 Algebra: Distributive Property4.5 Multiply with 7Mid-Chapter Checkpoint4.6 Algebra: Associative Property of Multiplication4.7 Algebra: Patterns on the Multiplication Table4.8 Multiply with 84.9 Multiply with 94.10 Problem Solving: MultiplicationChapter 4 Review/TestPerformanceTask

Chapter 5 Use Multiplication Facts

5.1 Algebra: Describe Patterns5.2 Algebra:FindUnknownFactorsMid-Chapter Checkpoint5.3 Problem Solving: Use the Distributive Property5.4 Use Place Value to Multiply with 105.5 Multiply with Multiples of 10Chapter 5 Review/TestPerformanceTask

Chapter 6 Understand Division

6.1 Problem Solving: Model Division6.2 SizeofEqualGroups6.3 Number of Equal Groups6.4 Model with Bar Models6.5 Algebra: Relate Subtraction and DivisionMid-Chapter Checkpoint6.6 Investigate: Model with Arrays6.7 Algebra: Relate Multiplication and Division6.8 Algebra: Write Related Facts6.9 Algebra: Division Rules for 1 and 0Chapter 6 Review/TestPerformanceTask

Chapter 7 Division Facts and Strategies

7.1 Divide by 27.2 Divide by 107.3 Divide by 57.4 Divide by 37.5 Divide by 47.6 Divide by 6

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Mid-Chapter Checkpoint7.7 Divide by 77.8 Divide by 87.9 Divide by 97.10 ProblemSolving:Two-StepProblems7.11 Investigate: Order of OperationsChapter 7 Review/TestPerformanceTask

fraCTionsCritical Area: Developing understanding of fractions, especially unit fractions (fractions with numerator 1)

Chapter 8 Understand Fractions

8.1 Equal Parts of a Whole8.2 Equal Shares8.3 Unit Fractions of a Whole8.4 Fractions of a Whole8.5 Fractions on a Number LineMid-Chapter Checkpoint8.6 Relate Fractions and Whole Numbers8.7 Fractions of a Group8.8 Find Part of a Group Using Unit Fractions8.9 Problem Solving: Find the Whole Group Using

Unit FractionsChapter 8 Review/TestPerformanceTask

Chapter 9 Compare Fractions

9.1 Problem Solving: Compare Fractions9.2 Compare Fractions with the Same Denominator9.3 Compare Fractions with the Same Numerator9.4 Compare FractionsMid-Chapter Checkpoint9.5 Compare and Order Fractions9.6 Investigate: Model Equivalent Fractions9.7 Equivalent FractionsChapter 9 Review/TestPerformanceTask

measuremenTCritical Area: Developing understanding of the structure of rectangular arrays and of area

Chapter 10 Time, Length, Liquid Volume, and Mass

10.1 Time to the Minute10.2 A.M. and P.M.10.3 Measure Time Intervals10.4 Use Time Intervals10.5 Problem Solving: Time IntervalsMid-Chapter Checkpoint10.6 Measure Length10.7 Estimate and Measure Liquid Volume10.8 Estimate and Measure Mass10.9 Solve Problems About Liquid Volume and Mass Chapter 10 Review/TestPerformanceTask

Chapter 11 Perimeter and Area

11.1 Investigate: Model Perimeter11.2 Find Perimeter11.3 Algebra:FindUnknownSideLengths11.4 Understand Area11.5 Investigate: Measure AreaMid-Chapter Checkpoint11.6 Use Area Models11.7 Problem Solving: Area of Rectangles11.8 Area of Combined Rectangles11.9 Same Perimeter, Different Areas11.10 Same Area, Different PerimetersChapter 11 Review/TestPerformanceTask

geomeTryCritical Area: Describingandanalyzing two-dimensionalshapes

Chapter 12 Two-Dimensional Shapes

12.1 Describe Plane Shapes12.2 Describe Angles in Plane Shapes12.3 Identify Polygons12.4 Describe Sides of PolygonsMid-Chapter Checkpoint12.5 Classify Quadrilaterals12.6 Draw Quadrilaterals12.7 Describe Triangles12.8 Problem Solving: Classify Plane Shapes12.9 Investigate: Relate Shapes, Fractions, and AreaChapter 12 Review/TestPerformanceTask

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gradE 4

Table of ConTenTs

TablE of ConTEnTs

grade 4

plaCe Value and operaTions WiTh Whole numbersCritical Area: Developing understanding and fluencywithmulti-digitmultiplicationanddeveloping understanding of dividing to find quotientsinvolvingmulti-digitdividends

Chapter 1 Place Value, Addition, and Subtraction to One Million1.1 Model Place Value Relationships1.2 Read and Write Numbers1.3 Compare and Order Numbers1.4 Round NumbersMid-Chapter Checkpoint1.5 Rename Numbers1.6 AddMulti-DigitNumbers1.7 SubtractMulti-DigitNumbers1.8 Problem Solving: Comparison Problems with

Addition and SubtractionChapter 1 Review/TestPerformanceTask

Chapter 2 Multiply by 1-Digit Numbers2.1 Meaning of Multiplication2.2 Comparison Problems2.3 Multiply Tens, Hundreds, and Thousands2.4 Estimate Products2.5 Investigate: Multiply Using the Distributive Property2.6 Multiply Using Expanded Form2.7 Multiply Using Partial ProductsMid-Chapter Checkpoint2.8 Multiply Using Mental Math2.9 Problem Solving: Multistep Multiplication Problems2.10Multiply2-DigitNumberswithRegrouping2.11Multiply3-Digitand4-DigitNumberswithRegrouping2.12 Algebra: Solve Multistep Problems Using EquationsChapter 2 Review/TestPerformanceTask

Chapter 3 Multiply 2-Digit Numbers3.1 Multiply Tens3.2 Estimate Products3.3 Investigate: Area Models and Partial Products 3.4 Multiply Using Partial Products

Mid-Chapter Checkpoint3.5 Multiply with Regrouping3.6 Choose a Multiplication Method3.7 ProblemSolving:Multiply2-DigitNumbersChapter 3 Review/TestPerformanceTask

Chapter 4 Divide by 1-Digit Numbers4.1 Estimate Quotients Using Multiples4.2 Investigate: Remainders4.3 Interpret the Remainder4.4 Divide Tens, Hundreds, and Thousands4.5 Estimate Quotients Using Compatible Numbers4.6 Investigate: Division and the Distributive PropertyMid-Chapter Checkpoint4.7 Divide Using Repeated Subtraction4.8 Divide Using Partial Quotients4.9 Investigate: Model Division with Regrouping4.10 Place the First Digit4.11Divideby1-DigitNumbers4.12 Problem Solving: Multistep Division ProblemsChapter 4 Review/TestPerformanceTask

Chapter 5 Factors, Multiples, and Patterns5.1 Model Factors5.2 Find Factors5.3 Problem Solving: Common FactorsMid-Chapter Checkpoint5.4 Relate Factors and Multiples5.5 Prime and Composite Numbers5.6 Algebra: Number PatternsChapter 5 Review/TestPerformanceTask

fraCTions and deCimalsCritical Area: Developing an understanding of fraction equivalence, addition and subtraction of fractionswithlikedenominators,andmultiplicationof fractions by whole numbers

Chapter 6 Fraction Equivalence and Comparison6.1 Investigate: Equivalent Fractions6.2 Generate Equivalent Fractions6.3 Simplest Forms6.4 Common Denominators6.5 Problem Solving: Factors, Multiples, and

Equivalent FractionsMid-Chapter Checkpoint6.6 CompareFractionsUsingBenchmarks6.7 Compare Fractions

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6.8 Compare and Order FractionsChapter 6 Review/TestPerformanceTask

Chapter 7 Add and Subtract Fractions7.1 Investigate: Join and Separate Fractions7.2 Write Fractions as Sums7.3 Add Fractions Using Models7.4 Subtract Fractions Using Models7.5 Add and Subtract FractionsMid-Chapter Checkpoint7.6 Rename Fractions and Mixed Numbers7.7 Add and Subtract Mixed Numbers7.8 Record Subtraction with Renaming7.9 Algebra: Fractions and Properties of Addition7.10 Problem Solving: Multistep Problems with FractionsChapter 7 Review/TestPerformanceTask

Chapter 8 Multiply Fractions by Whole Numbers8.1 Investigate: Multiples of Unit Fractions8.2 Investigate: Multiples of FractionsMid-Chapter Checkpoint8.3 Model Multiplication of a Fraction by a Whole Number8.4 Multiply a Fraction by a Whole Number8.5 Problem Solving: Comparison Problems

with MultiplicationChapter 8 Review/TestPerformanceTask

Chapter 9 Relate Fractions and Decimals9.1 Relate Tenths and Decimals9.2 Relate Hundredths and Decimals9.3 Equivalent Fractions Decimals9.4 Relate Fractions, Decimals, and Money9.5 Problem Solving: MoneyMid-Chapter Checkpoint9.6 Add Fractional Parts of 10 and 1009.7 Compare DecimalsChapter 9 Review/TestPerformanceTask

geomeTry, measuremenT, and daTaCritical Area: Understanding that geometric figurescanbeanalyzedandclassifiedbasedontheir properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry

Chapter 10 Two-Dimensional Figures10.1 Lines, Rays, and Angles10.2 Classify Triangles10.3 Parallel and Perpendicular Lines10.4 Classify QuadrilateralsMid-Chapter Checkpoint10.5 Line Symmetry10.6 Find and Draw Lines of Symmetry10.7 Problem Solving: Shape PatternsChapter 10 Review/TestPerformanceTask

Chapter 11 Angles11.1 Investigate: Angles and Fractional Parts of a Circle11.2 Degrees11.3 Measure and Draw AnglesMid-Chapter Checkpoint11.4 Join and Separate Angles11.5 Problem Solving: Angle EquationsChapter 11 Review/TestPerformanceTask

Chapter 12 Relative Sizes of Measurement Units12.1MeasurementBenchmarks12.2 Customary Units of Length12.3 Customary Units of Weight12.4 Customary Units of Liquid Volume12.5 Line PlotsMid-Chapter Checkpoint12.6 Investigate: Metric Units of Length12.7 Metric Units of Liquid Volume and Mass12.8 Time12.9 Problem Solving: Elapsed Time12.10 Solve Problems with Mixed Measures12.11 Patterns in Measurement UnitsChapter 12 Review/TestPerformanceTask

Chapter 13 Perimeter and Area13.1 Perimeter13.2 Area13.3 Perimeter and Area of Combined FiguresMid-Chapter Checkpoint13.4 FindUnknownMeasures13.5 Problem Solving: Find the AreaChapter 13 Review/TestPerformanceTask

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gradE 5

Table of ConTenTs

grade 5

TablE of ConTEnTs

fluenCy WiTh Whole numbers and deCimalsCritical Area:Extendingdivisionto2-digitdivisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations

Chapter 1 Place Value, Multiplication, and Expressions

1.1 Investigate: Place Value and Patterns1.2 Place Value of Whole Numbers1.3 Algebra: Properties1.4 Algebra: Powers of 10 and Exponents1.5 Algebra: Multiplication Patterns Mid-Chapter Checkpoint1.6Multiplyby1-DigitNumbers1.7 Multiplyby2-DigitNumbers1.8 Relate Multiplication to Division1.9 Problem Solving: Multiplication and Division1.10 Algebra: Numerical Expressions1.11 Algebra: Evaluate Numerical Expressions1.12 Algebra: Grouping SymbolsChapter 1 Review/TestPerformanceTask

Chapter 2 Divide Whole Numbers

2.1 Place the First Digit2.2 Divideby1-DigitDivisors2.3 Investigate:Divisionwith2-DigitDivisors2.4 Partial QuotientsMid-Chapter Checkpoint2.5 Estimatewith2-DigitDivisors2.6 Divideby2-DigitDivisors2.7 Interpret the Remainder2.8 Adjust Quotients2.9 Problem Solving: DivisionChapter 2 Review/TestPerformanceTask

Chapter 3 Add and Subtract Decimals

3.1 Investigate: Thousandths3.2 Algebra: Place Value of Decimals

3.3 Compare and Order Decimals3.4 Round Decimals3.5 Investigate: Decimal Addition3.6 Investigate: Decimal SubtractionMid-Chapter Checkpoint3.7 Estimate Decimal Sums and Differences3.8 Add Decimals3.9 Subtract Decimals3.10 Algebra: Patterns with Decimals3.11 Problem Solving: Add and Subtract Money3.12 Choose a MethodChapter 3 Review/TestPerformanceTask

Chapter 4 Multiply Decimals

4.1 Algebra: Multiplication Patterns with Decimals4.2 Investigate: Multiply Decimals and Whole Numbers4.3 Multiplication with Decimals and Whole Numbers4.4 Multiply Using Expanded Form4.5 Problem Solving: Multiply MoneyMid-Chapter Checkpoint4.6 Investigate: Decimal Multiplication4.7 Multiply Decimals4.8 Zeros in the ProductChapter 4 Review/TestPerformanceTask

Chapter 5 Divide Decimals

5.1 Investigate: Divide Decimals by Whole Numbers5.2 Estimate Quotients5.3 Algebra: Division Patterns with Decimals5.4 Division of Decimals by Whole NumbersMid-Chapter Checkpoint5.5 Investigate: Decimal Division5.6 Divide Decimals5.7 Write Zeros in the Dividend5.8 Problem Solving: Decimal OperationsChapter 5 Review/TestPerformanceTask

operaTions WiTh fraCTionsCritical Area: Developing fluency with addition and subtraction of fractions and developing understanding of the multiplication of fractions and of divisions of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions)

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Chapter 6 Add and Subtract Fractions with Unlike Denominators

6.1 Investigate:AdditionwithUnlikeDenominators6.2 Investigate:SubtractionwithUnlikeDenominators6.3 Estimate Fraction Sums and Differences6.4 Common Denominators and Equivalent Fractions6.5 Add and Subtract FractionsMid-Chapter Checkpoint6.6 Add and Subtract Mixed Numbers6.7 Subtraction with Renaming6.8 Algebra: Patterns with Fractions6.9 Problem Solving: Practice Addition and Subtraction6.10 Algebra: Use Properties of AdditionChapter 6 Review/TestPerformanceTask

Chapter 7 Multiply Fractions

7.1 Find Part of a Group7.2 Investigate: Multiply Fractions and Whole Numbers7.3 Fraction and Whole Number Multiplication7.4 Investigate: Multiply Fractions7.5 Compare Fraction Factors and Products7.6 Fraction MultiplicationMid-Chapter Checkpoint7.7 Investigate: Area and Mixed Numbers7.8 Compare Mixed Number Factors and Products7.9 Multiply Mixed Numbers7.10 ProblemSolving:FindUnknownLengthsChapter 7 Review/TestPerformanceTask

Chapter 8 Divide Fractions

8.1 Investigate: Divide Fractions and Whole Numbers8.2 Connect Fractions to Division8.3 Problem Solving: Use MultiplicationMid-Chapter Checkpoint8.4 Fraction and Whole Number Division8.5 Interpret Division with FractionsChapter 8 Review/TestPerformanceTask

geomeTry and measuremenTCritical Area: Developing understanding of volume

Chapter 9 Algebra: Patterns and Graphing

9.1 Line Plots9.2 Ordered Pairs

9.3 Investigate: Graph Data9.4 Line GraphsMid-Chapter Checkpoint9.5 Numerical Patterns9.6 Problem Solving: Find a Rule9.7 GraphandAnalyzeRelationshipsChapter 9 Review/TestPerformanceTask

Chapter 10 Convert Units of Measure

10.1 Customary Length10.2 Customary Capacity10.3 Weight10.4 Conversions in Multistep ProblemsMid-Chapter Checkpoint10.5 Metric Measures10.6 Problem Solving: Customary and

Metric Conversions10.7 Elapsed TimeChapter 10 Review/TestPerformanceTask

Chapter 11 Geometry and Volume

11.1 Polygons11.2 Triangles11.3 Quadrilaterals11.4 ProblemSolving:PropertiesofTwo-

Dimensional Figures11.5 Three-DimensionalFiguresMid-Chapter Checkpoint11.6 Investigate: Unit Cubes and Solid Figures11.7 Investigate: Understand Volume11.8 Investigate: Estimate Volume11.9 Volume of Rectangular Prisms11.10 Algebra: Apply Volume Formulas11.11 Problem Solving: Compare Volumes11.12 Find Volume of Composed FiguresChapter 11 Review/TestPerformanceTask

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gradE 6

Table of ConTenTs

grade 6

TablE of ConTEnTs

The number sysTem Critical Area: Completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers

Chapter 1 Whole Numbers and Decimals1.1 DivideMulti-DigitNumbers1.2 PrimeFactorization1.3 Least Common Multiple1.4 Greatest Common Factor1.5 Problem Solving: Apply the Greatest Common FactorMid-Chapter Checkpoint1.6 Add and Subtract Decimals1.7 Multiply Decimals1.8 Divide Decimals by Whole Numbers1.9 Divide with DecimalsChapter 1 Review/TestPerformanceTask

Chapter 2 Fractions2.1 Fractions and Decimals2.2 Compare and Order Fractions and Decimals2.3 Multiply Fractions2.4 Simplify FactorsMid-Chapter Checkpoint2.5 Investigate: Model Fraction Division2.6 Estimate Quotients2.7 Divide Fractions2.8 Investigate: Model Mixed Number Division2.9 Divide Mixed Numbers2.10 Problem Solving: Fraction OperationsChapter 2 Review/TestPerformanceTask

Chapter 3 Rational Numbers3.1 Understand Positive and Negative Numbers3.2 Compare and Order Integers3.3 Rational Numbers and the Number Line3.4 Compare and Order Rational NumbersMid-Chapter Checkpoint3.5 Absolute Value3.6 Compare Absolute Values3.7 Rational Numbers and the Coordinate Plane3.8 Ordered Pair Relationships

3.9 Distance on the Coordinate Plane3.10 Problem Solving: The Coordinate PlaneChapter 3 Review/TestPerformanceTask

raTios and raTesCritical Areas: Connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems

Chapter 4 Ratios and Rates

4.1 Investigate: Model Ratios4.2 Ratios and Rates4.3 Equivalent Ratios and Multiplication Tables4.4 Problem Solving: Use Tables to Compare Ratios4.5 Use Equivalent RatiosMid-Chapter Checkpoint4.6 Find Unit Rates4.7 Algebra: Use Unit Rates4.8 Algebra: Equivalent Ratios and GraphsChapter 4 Review/TestPerformanceTask

Chapter 5 Percents5.1 Investigate: Model Percents5.2 Write Percents as Fractions and Decimals5.3 Write Fractions and Decimals as PercentsMid-Chapter Checkpoint5.4 Percent of a Number5.5 Problem Solving: Percents5.6 Find the Whole from a PercentChapter 5 Review/TestPerformanceTask

Chapter 6 Units of Measure6.1 Convert Units of Length6.2 Convert Units of Capacity6.3 Convert Units of Weight and MassMid-Chapter Checkpoint6.4 Transform Units6.5 Problem Solving: Distance, Rate, and Time FormulasChapter 6 Review/TestPerformanceTask

expressions and equaTionsCritical Area: Writing, interpreting and using expressions and equations

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Chapter 7 Algebra: Expressions7.1 Exponents7.2 Evaluate Expressions Involving Exponents7.3 Write Algebraic Expressions7.4 Identify Parts of Expressions7.5 Evaluate Algebraic Expressions and FormulasMid-Chapter Checkpoint7.6 Use Algebraic Expressions7.7 ProblemSolving:CombineLikeTerms7.8 Generate Equivalent Expressions7.9 Identify Equivalent ExpressionsChapter 7 Review/TestPerformanceTask

Chapter 8 Algebra: Equations and Inequalities8.1 Solutions of Equations8.2 Write Equations8.3 Investigate: Model and Solve Addition Equations8.4 Solve Addition and Subtraction Equations8.5 Investigate: Model and Solve Multiplication Equations8.6 Solve Multiplication and Division Equations8.7 Problem Solving: Equations with FractionsMid-Chapter Checkpoint8.8 Solutions of Inequalities8.9 Write Inequalities8.10 Graph InequalitiesChapter 8 Review/TestPerformanceTask

Chapter 9 Algebra: Relationships Between Variables9.1 Independent and Dependent Variables9.2 Equations and Tables9.3 ProblemSolving:AnalyzeRelationshipsMid-Chapter Checkpoint9.4 Graph Relationships9.5 Equations and GraphsChapter 9 Review/TestPerformanceTask

ThinK sTaTisTiCallyCritical Areas: Developunderstandingtothinkstatistically;Buildonpreviousworkinareabyreasoning about relationships among shapes to determine area, surface area and volume

Chapter 10 Area10.1 Algebra: Area of Parallelograms10.2 Investigate: Explore Area of Triangles10.3 Algebra: Area of Triangles10.4 Investigate:ExploreAreaofTrapezoids

10.5 Algebra:AreaofTrapezoidsMid-Chapter Checkpoint10.6 Area of Regular Polygons10.7 Composite Figures10.8 Problem Solving: Changing Dimensions10.9 Figures on the Coordinate PlaneChapter 10 Review/Test PerformanceTask

Chapter 11 Surface Area and Volume 11.1 Three Dimensional Figures and Nets11.2 Investigate: Explore Surface Area using Nets11.3 Algebra: Surface Area of Prisms11.4 Algebra: Surface Area of PyramidsMid-Chapter Checkpoint11.5 Investigate: Fractions and Volume11.6 Algebra: Volume of Rectangular Prisms11.7 Problem Solving: Geometric MeasurementsChapter 11 Review/TestPerformanceTask

Chapter 12 Data Displays and Measures of Center12.1 RecognizeStatisticalQuestions12.2 Describe Data Collection12.3 Dot Plots and Frequency Tables12.4 HistogramsMid-Chapter Checkpoint12.5 Investigate: Mean as Fair Share and Balance Point12.6 Measures of Center12.7 Effects of Outliers12.8 Problem Solving: Data DisplaysChapter 12 Review/TestPerformanceTask

Chapter 13 Variability and Data Distributions13.1 Patterns in Data13.2 Box Plots13.3 Investigate: Mean Absolute Deviation13.4 Measures of VariabilityMid-Chapter Checkpoint13.5 Choose Appropriate Measures of Center

and Variability13.6 Apply Measures of Center and Variability 13.7 Describe Distributions13.8 Problem Solving: Misleading StatisticsChapter 13 Review/TestPerformanceTask

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Notes

Notes

© Houghton Mifflin Harcourt Publishing Company. All rights reserved. Printed in the U.S.A. 12/10 MS11429