Practice Workbook, Grade 6 (PE)

1 Practice workbook P U P I L'S E D I T I O N. G ra d e 6. Orlando Boston Dallas Chicago San Diego 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 individual teachers using the corresponding student's textbook or kit as the major vehicle for regular classroom instruction to photocopy complete student pages from this publication in classroom quantities for instructional use and not for resale. Duplication of this work other than by individual classroom teachers under the conditions specified above requires a license.

2 To order a license to duplicate this Harcourt work in greater than classroom quantities, contact Customer Service, Harcourt, Inc., 6277 Sea Harbor Drive, Orlando, Florida 32887-6777. Telephone: 1-800-225-5425. 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 0-15-320664-0. 2 3 4 5 6 7 8 9 10 073 2003 2002 2001. CONTENTS. Unit 1: NUMBER SENSE AND Unit 2: STATISTICS AND GRAPHING. OPERATIONS. chapter 5: Collect and Organize Data chapter 1: Whole Number Applications Samples .. 20. Estimate with Whole Numbers .. 1 Bias in Surveys .. 21. Use Addition and Subtraction .. 2 Problem Solving Strategy: Use Multiplication and Division .. 3 Make a Table .. 22. Problem Solving Strategy: Frequency Tables and Predict and Test.

3 4 Line Plots .. 23. Algebra: Use Expressions .. 5 Measures of Central Tendency .. 24. Algebra: Mental Math Outliers and Additional Data .. 25. and Equations .. 6 Data and Conclusions .. 26. chapter 2: Operation Sense chapter 6: Graph Data Mental Math: Use the Properties .. 7 Make and Analyze Graphs .. 27. : Exponents .. 8 Find Unknown Values.. 28. : Order of Operations .. 9 Stem-and-Leaf Plots Problem Solving Skill: Sequence and Histograms .. 29. and Prioritize Information .. 10 Box-and-Whisker Graphs .. 30. Analyze Graphs .. 31. chapter 3: Decimal Concepts Represent, Compare, and Unit 3: FRACTION CONCEPTS. Order Decimals .. 11 AND OPERATIONS. Problem Solving Strategy: Make a Table .. 12 chapter 7: Number Theory Estimate with Decimals .. 13 Divisibility.

4 32. Decimals and Percents .. 14 Prime Factorization.. 33. Least Common Multiple and chapter 4: Decimal Operations Greatest Common Factor .. 34. Add and Subtract Decimals .. 15 Problem Solving Strategy: Decimals .. 16 Make an Organized List .. 35. with Decimals .. 17. Problem Solving Skill: Interpret chapter 8: Fraction Concepts the Remainder .. 18 Equivalent Fractions and : Decimal Expressions Simplest Form .. 36. and Equations .. 19 Mixed Numbers and Fractions .. 37. Compare and Order Fractions .. 38 chapter 13: Multiply and Divide Fractions, Decimals, and with Integers Percents .. 39 Algebra: Multiply Integers .. 57. Algebra: Divide Integers .. 58. chapter 9: Add and Subtract Fractions Combine Operations and Mixed Numbers with Integers .. 59. Estimate Sums and Differences.

5 40. Add and Subtract Fractions .. 41. Add and Subtract Mixed Unit 5: ALGEBRA: EXPRESSIONS. Numbers .. 42 AND EQUATIONS. Subtract Mixed Numbers .. 43. Problem Solving Strategy: Draw chapter 14: Expressions a Diagram .. 44 Write Expressions .. 60. Evaluate Expressions .. 61. chapter 10: Multiply and Divide Expressions with Squares and Fractions and Mixed Numbers Square Roots .. 62. Estimate Products and Quotients .. 45. chapter 15: Addition and Subtraction Multiply Fractions .. 46. Equations Multiply Mixed Numbers .. 47. Connect Words and Divide Fractions and Equations .. 63. Mixed Numbers .. 48. Solve Addition Equations .. 64. Problem Solving Skill: Choose Solve Subtraction Equations .. 65. the Operation .. 49. Algebra: Fraction Expressions and Equations.

6 50 chapter 16: Multiplication and Division Equations Unit 4: ALGEBRA: INTEGERS Solve Multiplication and Division Equations .. 66. chapter 11: Number Relationships Use Formulas .. 67. Understand Integers .. 51 Problem Solving Strategy: Rational Numbers .. 52 Work Backward .. 68. Compare and Order Rational Numbers .. 53. Unit 6: GEOMETRY AND SPATIAL. Problem Solving Strategy: Use REASONING. Logical Reasoning .. 54. chapter 12: Add and Subtract chapter 17: Geometric Figures with Integers Points, Lines, and Planes .. 69. Algebra: Add Integers .. 55 Angle Relationships .. 70. Algebra: Subtract Integers .. 56 Classify Lines .. 71. chapter 18: Plane Figures chapter 22: Probability of Simple Events Triangles .. 72 Theoretical Probability .. 91. Problem Solving Strategy: Problem Solving Skill: Too Much or Find a Pattern.

7 73 Too Little Information .. 92. Quadrilaterals .. 74 Experimental Probability .. 93. Draw Two-Dimensional Figures .. 75. chapter 23: Probability of Compound Circles .. 76. Events Problem Solving Strategy: chapter 19: Solid Figures Make an Organized List .. 94. Types of Solid Figures .. 77 Compound Events .. 95. Different Views of Solid Independent and Dependent Figures .. 78 Events .. 96. Problem Solving Strategy: Make Predictions .. 97. Solve a Simpler Problem .. 79. Unit 8: MEASUREMENT. Unit 7: RATIO, PROPORTION, PERCENT, AND PROBABILITY chapter 24: Units of Measure Algebra: Customary chapter 20: Ratio and Proportion Measurements .. 98. Ratios and Rates .. 80 Algebra: Metric Problem Solving Strategy: Write Measurements .. 99. an Equation .. 81 Relate Customary and : Ratios and Metric.

8 100. Similar Figures .. 82 Appropriate Tools and Units .. 101. : Proportions and Problem Solving Skill: Estimate Similar Figures .. 83 or Find Exact Answer .. 102. : Scale Drawings .. 84. Algebra: Maps .. 85 chapter 25: Length and Perimeter Perimeter .. 103. chapter 21: Percent and Change Problem Solving Strategy: Percent .. 86 Draw a Diagram .. 104. Percents, Decimals, and Circumference .. 105. Fractions .. 87. Estimate and Find Percent chapter 26: Area of a Number .. 88 Estimate and Find Area .. 106. Discount and Sales Tax .. 89 Algebra: Areas of Parallelograms Simple Interest .. 90 and Trapezoids .. 107. Algebra: Areas of Circles .. 108 chapter 29: Geometry and Motion Algebra: Surface Areas of Transformations of Prisms and Pyramids .. 109 Plane Figures.

9 118. Tessellations .. 119. chapter 27: Volume Problem Solving Strategy: Estimate and Find Volume .. 110 Make a Model .. 120. Problem Solving Strategy: Transformations of Make a Model .. 111 Solid Figures .. 121. Algebra: Volumes of Symmetry .. 122. Pyramids .. 112. Volumes of Cylinders .. 113 chapter 30: Graph Relationships Inequalities on a Unit 9: ALGEBRA: PATTERNS AND Number Line .. 123. RELATIONSHIPS Graph on the Coordinate Plane .. 124. Graph Relations .. 125. chapter 28: Patterns Problem Solving Skill: Make Problem Solving Strategy: Generalizations .. 126. Find a Pattern .. 114. Graph Transformations .. 127. Patterns in Sequences .. 115. Number Patterns and Functions .. 116. Geometric Patterns .. 117. LESSON Name Estimate with Whole Numbers Vocabulary 1.

10 When both factors in a multiplication problem are rounded up to estimate the product, the estimate is an . 2. When all addends are about the same, you can use to estimate their sum. Estimate the sum or difference. 3. 2,489 4. 398 5. 4,723 6. 7,132 7. 5,401. 1,601 415 2,198 6,594 9,188.. 2,109 368 7,301.. 8. 478 9. 263 10. 5,877 11. 8,528 12. 8,903. 26 211 5,318 6,491 4,575.. Estimate the product or quotient. 13. 53 14. 76 15. 72 16. 47 17. 660. 8 9 28 53 42.. 18. 371 19. 68 20. 480 21. 375 22. 824. 78 37 192 591 693.. 23. 331 5 24. 643 9 25. 1,827 59 26. 5,543 77. 27. 9,165 28 28. 6,281 875 29. 7,118 614 30. 8,215 897. Mixed Review Harcourt Round to the nearest 1,000. 31. 4,571 32. 8,445 33. 1,902 34. 6,679. Find the product. 35. 6 6 6 36. 3 3 3 3 37.