Place Value and Operations with Whole Numbers

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M a t h e m a t i c s Place Value and Operations with Whole Numbers Project: Food in Space.

find quotients involving multi-digit dividends 1 Place Value, Addition, and Subtraction to One Million 3 Domain Number and Operations in Base

................. 5 2 Read and Write Numbers..................... 9 3 Compare and Order Numbers.................. 13 4 Round Numbers.

...................... 27 7 Subtract Whole Numbers..................... 31 8 Problem Solving Comparison Problems with Addition and Subtraction.

1 M a t h e m a t i c s Place Value and Operations with Whole Numbers Project: Food in Space Developing understanding and fluency with multi-digit multiplication, and developing understanding of dividing to find quotients involving multi-digit dividends 1 Place Value, Addition, and Subtraction to One Million 3 Domain Number and Operations in Base Ten Show What You Know Vocabulary Builder Model Place Value Relationships Read and Write Numbers Compare and Order Numbers Round Numbers Mid-Chapter Checkpoint Investigate Rename Numbers Add Whole Numbers Subtract Whole Numbers Problem Solving Comparison Problems with Addition and Subtraction Chapter 1 Review/Test Test Prep DIGITAL PATH Go online! Your math lessons are interactive. Use i Tools, Animated Math Models, the Multimedia eglossary, and more. Food in Space p. 20 v

p. 60 2 Multiply by 1-Digit Numbers 43 Domains Operations and Algebraic Thinking Number and Operations in Base Ten Show What You Know...................... 43 Vocabulary Builder.

....................... 57 5 Investigate Multiply Using the Distributive Property..... 61 6 Multiply Using Expanded Form.................. 65 7 Multiply Using Partial Products.

2 p Multiply by 1-Digit Numbers 43 Domains Operations and Algebraic Thinking Number and Operations in Base Ten Show What You Know Vocabulary Builder Algebra Multiplication Comparisons Algebra Comparison Problems Multiply Tens, Hundreds, and Thousands Estimate Products Investigate Multiply Using the Distributive Property Multiply Using Expanded Form Multiply Using Partial Products Mid-Chapter Checkpoint Multiply Using Mental Math Problem Solving Multistep Multiplication Problems Multiply 2-Digit Numbers with Regrouping Multiply 3-Digit and 4-Digit Numbers with Regrouping Algebra Solve Multistep Problems Using Equations Chapter 2 Review/Test Test Prep M a t h e m a t i c s 3 Multiply 2-Digit Numbers 99 Domains Operations and Algebraic Thinking Number and Operations in Base Ten Show What You Know Vocabulary Builder Multiply by Tens Estimate Products Investigate Area Models and Partial Products Multiply Using Partial Products Mid-Chapter Checkpoint Multiply with Regrouping Choose a Multiplication Method Problem Solving Multiply 2-Digit Numbers Chapter 3 Review/Test Test Prep vi

M a t h e m a t i c s 4 Divide by 1-Digit Numbers 135 Domains Operations and Algebraic Thinking Number and Operations in Base Ten Show What You Know......................135 Vocabulary Builder.

3 M a t h e m a t i c s 4 Divide by 1-Digit Numbers 135 Domains Operations and Algebraic Thinking Number and Operations in Base Ten Show What You Know Vocabulary Builder Estimate Quotients Using Multiples Investigate Remainders Interpret the Remainder Divide Tens, Hundreds, and Thousands Estimate Quotients Using Compatible Numbers Investigate Division and the Distributive Property Mid-Chapter Checkpoint Investigate Divide Using Repeated Subtraction Divide Using Partial Quotients Investigate Model Division with Regrouping Place the First Digit Divide by 1-Digit Numbers Problem Solving Multistep Division Problems Chapter 4 Review/Test Test Prep p. 152 p. 156 vii

M a t h e m a t i c s 5 Factors, Multiples, and Patterns 191 Domain Operations and Algebraic Thinking Show What You Know......................191 Vocabulary Builder........................192 1 Model Factors.

4 M a t h e m a t i c s 5 Factors, Multiples, and Patterns 191 Domain Operations and Algebraic Thinking Show What You Know Vocabulary Builder Model Factors Factors and Divisibility Problem Solving Common Factors Mid-Chapter Checkpoint Factors and Multiples Prime and Composite Numbers Algebra Number Patterns Chapter 5 Review/Test Test Prep p. 214 viii

$................ 224 6 Developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers Fraction$ Equivalence and Comparison 225 Domain Number and Operations Fractions Show What You Know......................225 Vocabulary Builder........................226 1 Investigate Equivalent Fractions.

Equivalence and Comparison 225 Domain Number and Operations Fractions Show What You Know......................225 Vocabulary Builder........................226 1 Investigate Equivalent Fractions.

5 Fractions and Decimals Project: Building Custom Guitars Developing an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers Fraction Equivalence and Comparison 225 Domain Number and Operations Fractions Show What You Know Vocabulary Builder Investigate Equivalent Fractions Generate Equivalent Fractions Simplest Form Common Denominators Problem Solving Find Equivalent Fractions Mid-Chapter Checkpoint Compare Fractions Using Benchmarks Compare Fractions Compare and Order Fractions Chapter 6 Review/Test Test Prep DIGITAL PATH Go online! Your math lessons are interactive. Use i Tools, Animated Math Models, the Multimedia eglossary, and more. Building Custom Guitars 7 Add and Subtract Fractions 265 Domain Number and Operations Fractions Show What You Know Vocabulary Builder Investigate Add and Subtract Parts of a Whole Write Fractions as Sums Add Fractions Using Models Subtract Fractions Using Models Add and Subtract Fractions Mid-Chapter Checkpoint Rename Fractions and Mixed Numbers Add and Subtract Mixed Numbers Subtraction with Renaming Algebra Fractions and Properties of Addition Problem Solving Multistep Fraction Problems Chapter 7 Review/Test Test Prep p. 278 M a t h e m a t i c s ix

M a t h e m a t i c s 8 Multiply Fractions by Whole Numbers 313 Domain Number and Operations Fractions Show What You Know......................313 Vocabulary Builder........................314 1 Multiples of Unit Fractions.

....325 4 Multiply a Fraction or Mixed Number by a Whole Number...329 5 Problem Solving Comparison Problems with Fractions..............333 Chapter 8 Review/Test Test Prep...............337 p.

6 M a t h e m a t i c s 8 Multiply Fractions by Whole Numbers 313 Domain Number and Operations Fractions Show What You Know Vocabulary Builder Multiples of Unit Fractions Multiples of Fractions Mid-Chapter Checkpoint Multiply a Fraction by a Whole Number Using Models Multiply a Fraction or Mixed Number by a Whole Number Problem Solving Comparison Problems with Fractions Chapter 8 Review/Test Test Prep p Relate Fractions and Decimals 341 Domains Number and Operations Fractions Measurement and Data Show What You Know Vocabulary Builder Relate Tenths and Decimals Relate Hundredths and Decimals Equivalent Fractions and Decimals Relate Fractions, Decimals, and Money Problem Solving Money Mid-Chapter Checkpoint Add Fractional Parts of 10 and Compare Decimals Chapter 9 Review/Test Test Prep x

Geometry, Measurement, and Data Project: Landscape Architects.

having parallel sides, perpendicular sides, particular angle measures, and symmetry Two-Dimensional Figures 379 Domains Operations

....................381 2 Classify Triangles.........................385 3 Parallel Lines and Perpendicular Lines.

.........................399 6 Find and Draw Lines of Symmetry................403 7 Problem Solving Shape Patterns.

Use i Tools, Animated Math Models, the Multimedia eglossary, and more.

.......................416 1 Investigate Angles and Fractional Parts of a Circle......417 2 Degrees.............................421 3 Measure and Draw Angles.

7 Geometry, Measurement, and Data Project: Landscape Architects Understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry Two-Dimensional Figures 379 Domains Operations and Algebraic Thinking Geometry Show What You Know Vocabulary Builder Lines, Rays, and Angles Classify Triangles Parallel Lines and Perpendicular Lines Classify Quadrilaterals Mid-Chapter Checkpoint Line Symmetry Find and Draw Lines of Symmetry Problem Solving Shape Patterns Chapter 10 Review/Test Test Prep DIGITAL PATH Go online! Your math lessons are interactive. Use i Tools, Animated Math Models, the Multimedia eglossary, and more. Landscape Architects 11 Angles 415 Domain Measurement and Data Show What You Know Vocabulary Builder Investigate Angles and Fractional Parts of a Circle Degrees Measure and Draw Angles Mid-Chapter Checkpoint Investigate Join and Separate Angles Problem Solving Unknown Angle Measures Chapter 11 Review/Test Test Prep pp. 384, 428 p. 396 M a t h e m a t i c s xi

M a t h e m a t i c s pp. 478, 514 12 Relative Sizes of Measurement Units 443 Domain Measurement and Data Show What You Know.................... 443 Vocabulary Builder........................444 1 Measurement Benchmarks.

............................461 Mid-Chapter Checkpoint....................465 6 Investigate Metric Units of Length...............467 7 Metric Units of Mass and Liquid Volume............471 8 Units of Time.

...........487 Chapter 12 Review/Test Test Prep..............491 13 Algebra: Perimeter and Area 495 Domain Measurement and Data Show What You Know.....................495 Vocabulary Builder.

8 M a t h e m a t i c s pp. 478, Relative Sizes of Measurement Units 443 Domain Measurement and Data Show What You Know Vocabulary Builder Measurement Benchmarks Customary Units of Length Customary Units of Weight Customary Units of Liquid Volume Line Plots Mid-Chapter Checkpoint Investigate Metric Units of Length Metric Units of Mass and Liquid Volume Units of Time Problem Solving Elapsed Time Mixed Measures Algebra Patterns in Measurement Units Chapter 12 Review/Test Test Prep Algebra: Perimeter and Area 495 Domain Measurement and Data Show What You Know Vocabulary Builder Perimeter Area Area of Combined Rectangles Mid-Chapter Checkpoint Find Unknown Measures Problem Solving Find the Area Chapter 13 Review/Test Test Prep Glossary H1 Table of Measures H15 xii

4th Grade Math Scope & Sequence-June 2017

4th Grade Math Scope & Sequence-June 2017 Topic Strand Concept State Standard 1: Generalize Place Value Understanding * Read and write numbers in expanded form, with number names. * Recognize the relationship