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Mental Math: Estimate Sums and Differences RETEACH Workbook Grade 4 P Visit The Learning Site! www.harcourtschool.com S H HSP TTitle_CR_NLG4.indditle_CR_NLG4.indd 1 66/7/07/7/07 33:27:56:27:56 PPMM Copyright © by Harcourt, Inc. All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Permission is hereby granted to individuals using the corresponding student’s textbook or kit as the major vehicle for regular classroom instruction to photocopy entire pages from this publication in classroom quantities for instructional use and not for resale. Requests for information on other matters regarding duplication of this work should be addressed to School Permissions and Copyrights, Harcourt, Inc., 6277 Sea Harbor Drive, Orlando, Florida 32887-6777. Fax: 407-345-2418. HARCOURT and the Harcourt Logo are trademarks of Harcourt, Inc., registered in the United States of America and/or other jurisdictions. Printed in the United States of America ISBN 13: 978-0-15-356800-8 ISBN 10: 0-15-356800-3 If you have received these materials as examination copies free of charge, Harcourt School Publishers retains title to the materials and they may not be resold. Resale of examination copies is strictly prohibited and is illegal. Possession of this publication in print format does not entitle users to convert this publication, or any portion of it, into electronic format. 1 2 3 4 5 6 7 8 9 10 018 6 15 14 13 12 11 10 09 08 07 NNL_SEGr4.inddL_SEGr4.indd template1template1 66/7/07/7/07 33:04:36:04:36 PPMM Unit 1: UNDERSTAND WHOLE NUMBERS Unit 2: MULTIPLICATION AND DIVISION AND OPERATIONS FACTS Chapter 1: Understand Place Value Chapter 4: Multiplication and Division Facts 1.1 Place Value Through 4.1 Algebra: Relate Hundred Thousands ............RW1 Operations ..................... RW19 1.2 Model Millions ..................RW2 4.2 Algebra: Relate Multiplication 1.3 Place Value Through and Division ................... RW20 Millions ...........................RW3 4.3 Multiply and Divide 1.4 Compare Whole Numbers. ....RW4 Facts Through 5 ............... RW21 1.5 Order Whole Numbers. ........RW5 4.4 Multiply and Divide 1.6 Problem Solving Workshop Facts Through 10 ............. RW22 Strategy: Use Logical 4.5 Multiplication Table Reasoning ........................RW6 Through 12 .................... RW23 4.6 Patterns on the Chapter 2: Add and Subtract Whole Multiplication Table .......... RW24 Numbers 4.7 Problem Solving Workshop 2.1 Algebra: Relate Addition Skill: Choose the and Subtraction .................RW7 Operation ...................... RW25 2.2 Round Whole Numbers 4.8 Algebra: Find Missing Through Millions ...............RW8 Factors .......................... RW26 2.3 Mental Math: Estimate Sums and Differences ..........RW9 Chapter 5: Algebra: Use Multiplication and 2.4 Mental Math Division Facts Strategies ...................... RW10 5.1 Multiplication 2.5 Problem Solving Workshop Properties ...................... RW27 Skill: Estimate or 5.2 Multiplication and Division Exact Answer .................. RW11 Expressions ..................... RW28 2.6 Add and Subtract 3-Digit and 5.3 Order of Operations ......... RW29 4-Digit Numbers. .............. RW12 5.4 Multiplication and Division 2.7 Choose a Method. ............ RW13 Equations ...................... RW30 5.5 Problem Solving Workshop Chapter 3: Algebra: Use Addition and Strategy: Predict and Test ... RW31 Subtraction 5.6 Explore Inequalities .......... RW32 3.1 Addition Properties .......... RW14 5.7 Patterns: Find a Rule ......... RW33 3.2 Write and Evaluate Expressions ..................... RW15 3.3 Addition and Subtraction Equations ..................... RW16 3.4 Problem Solving Workshop Strategy: Work Backward ... RW17 3.5 Patterns: Find a Rule ........ RW18 GG4-NL4-NL TTOC_TE.inddOC_TE.indd 1 66/7/07/7/07 33:44:02:44:02 PPMM Unit 3: TIME, TEMPERATURE, AND DATA Unit 4: MULTIPLY BY 1-DIGIT AND 2-DIGIT NUMBERS Chapter 6: Time and Temperature 6.1 Telling Time .................... RW34 Chapter 9: Multiply by 1-Digit Numbers 6.2 Elapsed Time .................. RW35 9.1 Mental Math: Multiplication 6.3 Elapsed Time on Patterns ........................ RW57 a Calendar ..................... RW36 9.2 Mental Math: Estimate 6.4 Algebra: Change Units Products ........................ RW58 of Time ......................... RW37 9.3 Model 2-Digit by 1-Digit 6.5 Problem Solving Workshop Multiplication ................. RW59 Skill: Sequence 9.4 Record 2-Digit by 1-Digit Informaiton .................... RW38 Multiplication ................. RW60 6.6 Temperature ................... RW39 9.5 Multiply 3-Digit and 4-Digit 6.7 Explore Negative Numbers .. RW40 Numbers and Money ......... RW61 9.6 Multiply with Zeros .......... RW62 Chapter 7: Collect and Organize Data 9.7 Problem Solving Workshop 7.1 Collect and Organize Data .. RW41 Skill: Evaluate 7.2 Venn Diagrams ................ RW42 Reasonableness ............... RW63 7.3 Find Mean, Median, and Mode ...................... RW43 Chapter 10: Multiply by 2-Digit Numbers 7.4 Line Plots ....................... RW44 10.1 Mental Math: Multiplication 7.5 Choose a Reasonable Patterns ........................ RW64 Scale and Interval ............. RW45 10.2 Multiply by Tens .............. RW65 7.6 Problem Solving Workshop 10.3 Mental Math: Estimate Skill: Make Products ........................ RW66 Generalizations ............... RW46 10.4 Problem Solving Workshop Strategy: Solve a Chapter 8: Interpret and Graph Data Simpler Problem .............. RW67 8.1 Bar Graphs ..................... RW47 10.5 Model 2-Digit by 2-Digit 8.2 Make Bar and Double-Bar Multiplication ................. RW68 Graphs .......................... RW48 10.6 Record 2-Digit by 2-Digit 8.3 Circle Graphs .................. RW49 Multiplication ................. RW69 8.4 Algebra: Use a Coordinate 10.7 Multiply 2-Digit and 3-Digit Grid ............................. RW50 Numbers and Money ......... RW70 8.5 Line Graphs .................... RW51 10.8 Choose a Method ............. RW71 8.6 Make Line Graphs ............ RW52 10.9 Problem Solving Workshop 8.7 Problem Solving Workshop Skill: Multistep Problems .... RW72 Strategy: Make a Graph ..... RW53 8.8 Choose an Appropriate Graph ........... RW54 8.9 Algebra: Graph Relationships .................. RW55 8.10 Problem Solving Workshop Skill: Identify Relationships ... RW56 GG4-NL4-NL TTOC_TE.inddOC_TE.indd 2 66/7/07/7/07 33:44:07:44:07 PPMM Unit 5: DIVIDE BY 1-DIGIT AND Unit 6: FRACTIONS AND DECIMALS 2-DIGIT DIVISORS Chapter 15: Understand Fractions and Mixed Chapter 11: Understand Division Numbers 11.1 Divide with Remainders ..... RW73 15.1 Read and Write Fractions ... RW94 11.2 Model 2-Digit by 1-Digit 15.2 Model Equivalent Division ......................... RW74 Fractions ....................... RW95 11.3 Record 2-Digit by 1-Digit 15.3 Compare and Order Division ......................... RW75 Fractions ....................... RW96 11.4 Problem Solving Workshop 15.4 Read and Write Mixed Strategy: Draw a Diagram ... RW76 Numbers ....................... RW97 11.5 Mental Math: 15.5 Compare and Order Division Patterns .............. RW77 Mixed Numbers ............... RW98 11.6 Mental Math: 15.6 Problem Solving Workshop Estimate Quotients ........... RW78 Skill: Sequence 11.7 Place the First Digit .......... RW79 Information .................... RW99 Chapter 12: Practice Division Chapter 16: Add and Subtract Fractions and 12.1 Problem Solving Workshop Mixed Numbers Skill: Interpret the 16.1 Model Addition ..............RW100 Remainder ..................... RW80 16.2 Model Subtraction ..........RW101 12.2 Divide 3-Digit Numbers 16.3 Record Addition and Money .................... RW81 and Subtraction ..............RW102 12.3 Zeros in Division .............. RW82 16.4 Problem Solving Workshop 12.4 Choose a Method ............. RW83 Strategy: Write an Equation ......................RW103 Chapter 13: Divide by 2-Digit Divisors 16.5 Add and Subtract 13.1 Estimate Quotients ........... RW84 Mixed Numbers ..............RW104 13.2 Model Division by 2-Digit 16.6 Model Addition and Divisors ......................... RW85 Subtraction of Unlike 13.3 Record Division ............... RW86 Fractions ......................RW105 13.4 Adjusting Quotients .......... RW87 13.5 Problem Solving Workshop Chapter 17: Understand Decimals and Place Skill: Too Much/Too Little Value Information .................... RW88 17.1 Relate Fractions and Decimals .................RW106 Chapter 14: Number Theory and Patterns 17.2 Decimals to Thousandths ... RW107 14.1 Factors and Multiples ........ RW89 17.3 Equivalent Decimals .........RW108 14.2 Divisibility Rules ............... RW90 17.4 Relate Mixed Numbers 14.3 Prime and Composite and Decimals .................RW109 Numbers ....................... RW91 17.5 Compare and 14.4 Number Patterns .............. RW92 Order Decimals ...............RW110 14.5 Problem Solving Workshop 17.6 Problem Solving Workshop Strategy: Find a Pattern ..... RW93 Skill: Draw Conclusions .....RW111 GG4-NL4-NL TTOC_TE.inddOC_TE.indd 3 66/7/07/7/07 33:44:12:44:12 PPMM Chapter 18: Add and Subtract Decimals and Unit 8: MEASUREMENT AND PROBABILITY Money 18.1 Round Decimals ..............RW112 18.2 Estimate Decimal Sums Chapter 22: Customary and Metric Measurement and Differences ..............RW113 22.1 Measure Fractional Parts ... RW139 18.3 Model Addition ..............RW114 22.2 Algebra: Change 18.4 Model
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