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Fax 1 800 874 6418 or 407 352 3445 , HARCOURT and the Harcourt Logo are trademarks of Harcourt Inc . Printed in the United States of America,ISBN 0 15 320444 3. 2 3 4 5 6 7 8 9 10 022 2004 2003 2002 2001, CONTENTS. 4 4 Use Variables 19, Unit 1 UNDERSTAND NUMBERS AND. 4 5 Find a Rule 20, OPERATIONS, 4 6 Add Equals to Equals 21. Chapter 1 Place Value and Number Sense 4 7 Problem Solving Strategy . 1 1 Benchmark Numbers 1 Make a Model 22,1 2 Understand Place Value 2. 1 3 Place Value Through Hundred, Unit 2 DATA GRAPHING . Thousands 3,1 4 Place Value Through Millions 4, 1 5 Problem Solving Skill Use Chapter 5 Collect and Organize. a Graph 5 Data, 5 1 Collect and Organize Data 23,Chapter 2 Compare and 5 2 Find Median and Mode 24. Order Numbers 5 3 Line Plot 25,2 1 Compare Numbers 6 5 4 Stem and Leaf Plot 26. 2 2 Order Numbers 7 5 5 Compare Graphs 27, 2 3 Problem Solving Strategy 5 6 Problem Solving Strategy . Make a Table 8 Make a Graph 28,2 4 Round Numbers 9. Chapter 6 Analyze and,Chapter 3 Add and Subtract Graph Data. Greater Numbers 6 1 Double Bar Graphs 29, 3 1 Estimate Sums and Differences 10 6 2 Read Line Graphs 30. 3 2 Use Mental Math Strategies 11 6 3 Make Line Graphs 31. 3 3 Add and Subtract 4 Digit 6 4 Choose an Appropriate. Numbers 12 Graph 32, 3 4 Subtract Across Zeros 13 6 5 Problem Solving Skill Draw. 3 5 Add and Subtract Greater Conclusions 33, Numbers 14. Chapter 7 Understand Time,3 6 Problem Solving Skill Estimate or. 7 1 Before and After the Hour 34, Find Exact Answers 15. 7 2 A M and P M 35, Chapter 4 Algebra Use Addition 7 3 Elapsed Time 36. and Subtraction 7 4 Problem Solving Skill Sequence. 4 1 Expressions 16 Information 37, 4 2 Use Parentheses 17 7 5 Elapsed Time on a Calendar 38. 4 3 Match Words and Expressions 18, Unit 3 MULTIPLICATION AND Chapter 11 Understand Multiplication. DIVISION FACTS 11 1 Mental Math Patterns, with Multiples 58. Chapter 8 Practice Multiplication 11 2 Multiply by Multiples of 10 59. and Division Facts 11 3 Estimate Products 60, 8 1 Relate Multiplication 11 4 Model Multiplication 61. and Division 39 11 5 Problem Solving Strategy Solve a. 8 2 Multiply and Divide Facts Simpler Problem 62, Through 5 40. 8 3 Multiply and Divide Facts Chapter 12 Multiply by 2 Digit. Through 10 41 Numbers, 8 4 Multiplication Table 12 1 Multiply by 2 Digit Numbers 63. Through 12 42 12 2 More About Multiplying by,8 5 Multiply 3 Factors 43 2 Digit Numbers 64. 8 6 Problem Solving Skill Choose 12 3 Multiply Greater Numbers 65. the Operation 44 12 4 Practice Multiplication 66, 12 5 Problem Solving Skill Multistep. Chapter 9 Algebra Use Multiplication Problems 67,and Division Facts. 9 1 Expressions with Parentheses 45, Unit 5 DIVIDE BY 1 AND 2 DIGIT. 9 2 Match Words and Expressions 46,9 3 Multiply Equals by Equals 47. 9 4 Expressions with Variables 48 Chapter 13 Understand Division. 9 5 Equations with Variables 49 13 1 Divide with Remainders 68. 9 6 Find a Rule 50 13 2 Model Division 69, 9 7 Problem Solving Strategy 13 3 Division Procedures 70. Work Backward 51 13 4 Problem Solving Strategy Predict. and Test 71, Unit 4 MULTIPLY BY 1 AND 2 DIGIT 13 5 Mental Math Division. NUMBERS Patterns 72, 13 6 Estimate Quotients 73,Chapter 10 Multiply by 1 Digit Numbers. 10 1 Mental Math Multiplication Chapter 14 Divide by 1 Digit Divisors. Patterns 52 14 1 Place the First Digit 74, 10 2 Estimate Products 53 14 2 Divide 3 Digit Numbers 75. 10 3 Model Multiplication 54 14 3 Zeros in Division 76. 10 4 Multiply 3 Digit Numbers 55 14 4 Divide Greater Numbers 77. 10 5 Multiply 4 Digit Numbers 56 14 5 Problem Solving Skill Interpret. 10 6 Problem Solving Strategy the Remainder 78, Write an Equation 57 14 6 Find the Mean 79. Chapter 15 Divide by 2 Digit Divisors Chapter 19 Understand Decimals. 15 1 Division Patterns to 19 1 Relate Fractions and. Estimate 80 Decimals 102, 15 2 Model Division 81 19 2 Decimals Greater Than 1 103. 15 3 Division Procedures 82 19 3 Equivalent Decimals 104. 15 4 Correcting Quotients 83 19 4 Compare and Order Decimals 105. 15 5 Problem Solving Skill Choose 19 5 Problem Solving Strategy Use. the Operation 84 Logical Reasoning 106, 19 6 Relate Mixed Numbers and. Chapter 16 Patterns with Factors, Decimals 107,and Multiples. 16 1 Factors and Multiples 85 Chapter 20 Add and Subtract Decimals. 16 2 Factor Numbers 86 20 1 Round Decimals 108,16 3 Prime and Composite 20 2 Estimate Sums and. Numbers 87 Differences 109,16 4 Find Prime Factors 88 20 3 Add Decimals 110. 16 5 Problem Solving Strategy 20 4 Subtract Decimals 111. Find a Pattern 89 20 5 Add and Subtract Decimals 112. 20 6 Problem Solving Skill Evaluate, Unit 6 FRACTIONS AND DECIMALS Reasonableness of Answers 113. Chapter 17 Understand Fractions, Unit 7 MEASUREMENT ALGEBRA . 17 1 Read and Write Fractions 90, AND GRAPHING,17 2 Equivalent Fractions 91. 17 3 Equivalent Fractions 92 Chapter 21 Customary Measurement. 17 4 Compare and Order 21 1 Choose the Appropriate Unit 114. Fractions 93 21 2 Measure Fractional Parts 115, 17 5 Problem Solving Strategy 21 3 Algebra Change Linear Units 116. Make a Model 94 21 4 Capacity 117,17 6 Mixed Numbers 95 21 5 Weight 118. 21 6 Problem Solving Strategy ,Chapter 18 Add and Subtract Fractions. Compare Strategies 119,and Mixed Numbers, 18 1 Add Like Fractions 96 Chapter 22 Metric Measurement. 18 2 Subtract Like Fractions 97 22 1 Linear Measure 120. 18 3 Add and Subtract Mixed 22 2 Algebra Change Linear Units 121. Numbers 98 22 3 Capacity 122,18 4 Problem Solving Skill Choose 22 4 Mass 123. the Operation 99 22 5 Problem Solving Strategy Draw. 18 5 Add Unlike Fractions 100 a Diagram 124,18 6 Subtract Unlike Fractions 101. Chapter 23 Algebra Explore Negative Chapter 27 Solid Figures and Volume. Numbers 27 1 Faces Edges and Vertices 145, 23 1 Temperature Fahrenheit 125 27 2 Patterns for Solid Figures 146. 23 2 Temperature Celsius 126 27 3 Estimate and Find Volume. 23 3 Negative Numbers 127 of Prisms 147, 23 4 Problem Solving Skill Make 27 4 Problem Solving Skill Too Much . Generalizations 128 Too Little Information 148, Chapter 28 Measure and Classify. Chapter 24 Explore the, Plane Figures,Coordinate Grid. 28 1 Turns and Degrees 149,24 1 Use a Coordinate Grid 129. 28 2 Measure Angles 150,24 2 Length on the Coordinate. 28 3 Circles 151, Grid 130, 28 4 Circumference 152. 24 3 Use an Equation 131, 28 5 Classify Triangles 153. 24 4 Graph an Equation 132, 28 6 Classify Quadrilaterals 154. 24 5 Problem Solving Skill Identify, 28 7 Problem Solving Strategy . Relationships 133, Draw a Diagram 155, Unit 8 GEOMETRY Unit 9 PROBABILITY. Chapter 29 Outcomes,Chapter 25 Plane Figures, 29 1 Record Outcomes 156. 25 1 Lines Rays and Angles 134, 29 2 Tree Diagrams 157. 25 2 Line Relationships 135, 29 3 Problem Solving Strategy . 25 3 Congruent Figures and, Make an Organized List 158. Motion 136, 29 4 Predict Outcomes of,25 4 Symmetric Figures 137. Experiments 159,25 5 Problem Solving Strategy , Make a Model 138 Chapter 30 Probability. 30 1 Probability as a Fraction 160, Chapter 26 Perimeter and Area 30 2 More About Probability 161. of Plane Figures 30 3 Test for Fairness 162, 26 1 Perimeter of Polygons 139 30 4 Problem Solving Skill Draw. 26 2 Estimate and Find Conclusions 163, Perimeter 140. 26 3 Estimate and Find Area 141,26 4 Relate Area and Perimeter 142. 26 5 Relate Formulas and Rules 143,26 6 Problem Solving Strategy . Find a Pattern 144, LESSON 1 1, Benchmark Numbers. You can use a known number called a benchmark , to help you estimate another number that is difficult. to count or measure , Is the tree about 20 or about 200 feet tall . You know that the man is 6 feet tall , So 6 is the benchmark . Look at the tree It looks like it is a little more. than 3 times as tall as the man , Think 3 6 18 6 ft. So the tree is about 20 feet tall , Use the benchmark to decide which is the more. reasonable estimate for the unknown amount , Circle that number . 1 number of beans in jar 2 pounds of potatoes in the box. 100 or 200 100 or 1 000, 3 gallons of water in the pool 4 paper clips in the container. 400 gallons, Harcourt, 800 or 1 200 100 or 1 000, Reteach RW1. LESSON 1 2,Understand Place Value,The value of a digit in a number. Thousands Hundreds Tens Ones,depends on its position within. the number 3 7 5 0,The value of the digit 7 in 3 750 is 700. because it is in the hundreds place 3 1 000 7 100 5 10 0 0. To find the value of the digit 5 3 000 700 50 0,first decide the place value position of. the 5 The 5 is in the place ,5 10 50 so the 5 has a value of 50 . To increase a number by 5 000 increase the digit in the. thousands place by 5 , 3 750 increased by 5 000 is 8 750 Notice that the only. change was the increase by 5 in the thousands place . Look at the number 48 792 , 1 In what place value position is 2 Complete to find the value of. the 4 the 8 , 8 , 3 What is the value of the 9 4 What is the value of the 2 . For 5 10 use the numbers at the top of each column . 45 893 to 85 893 88 203 to 81 203, In what place value was a. digit changed 5 6 , Harcourt, Was the digit increased or. decreased 7 8 , What is the change in the, value of the number 9 10 . RW2 Reteach, LESSON 1 3, Place Value Through Hundred Thousands. In the place value system each place is ten times as great. as the place to its right , Complete the table , Period THOUSANDS ONES. Place Hundreds Tens Ones Hundreds Tens Ones, Value 1 000 10 1. 100 10 1 100 10 1, thousands thousands thousand ones ones one. To write a number in word form write the number in. each period and follow it with the name of the period Do. not name the ones period Remember to use commas to. separate each period of numbers , 367 412 is three hundred sixty seven thousand four. hundred twelve , Write each number in word form , 1 56 398 2 308 481. To write a number in expanded form write the sum of the value. of each digit Do not include digits for which the value is 0 . 367 012 300 000 60 000 7 000 10 2, Write each number in expanded form . Harcourt, 3 458 913 4 290 384, Reteach RW3, LESSON 1 4. Place Value Through Millions, The period after the thousands period is the millions period . Write the values that complete the table , Period MILLIONS THOUSANDS ONES. Place Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones. Value 1 000 000 10 000 100, 100 10 1 100 10 1 100 10 1. million million million thousand thousand thousand ones ones one. To write a number given in word form with the millions period use a. place value chart , Fill in the place value chart to find the standard form of three hundred. fifty seven million two hundred twelve thousand one hundred eight . Period MILLIONS THOUSANDS ONES, Place Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones. Value 5 7 2 0 ,Write the value of the bold digit . 1 32 404 202 2 489 304 203 3 44 203 203 4 5 306 200. 5 349 305 203, three hundred forty nine three hundred five . Harcourt, two hundred three, 6 62 617 204, two million six hundred thousand . hundred four,RW4 Reteach, LESSON 1 5, Problem Solving Skill. Use a Graph, A pictograph is a graph that uses pictures to represent numbers in. order to compare information The pictures are related to the data . Box Office Video records their national rentals each week using a. pictograph Each picture of a VCR represents 1 000 000 rentals . BOX OFFICE VIDEO NATIONAL RENTALS, Key Each 1 000 000 rentals . The graph shows four VCR symbols during Week 1 , So 4 1 000 000 4 000 000 video rentals were made during Week 1 . Half of a symbol represents 500 000 video rentals . So during Week 2 there were 4 000 000 500 000 4 500 000 rentals made . 1 What other symbol might Box 2 During which week were the. Office Video have chosen to greatest number of rentals. represent 1 000 000 videos made the fewest , 3 How many rentals were made 4 How many rentals were made. during Week 3 during Week 1 , Harcourt, 5 During Week Five 7 000 000 6 During Week Six 6 500 000. Reteach RW1 Name LESSON 1 1 1 number of beans in jar 100 or 200 3 gallons of water in the pool 800 or 1 200 2 pounds of potatoes in the box 100 or 1 000 4 paper clips in the container 100 or 1 000 6 ft 50 beans 30 lb 400 gallons 200 clips

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