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Saxon Math Course 2 PDF

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Course 2 Student Edition Stephen Hake A C K N O W L E D G E M E N T S Staff Credits Editorial: Jean Armstrong, Shelley Farrar-Coleman, Marc Connolly, Hirva Raj, Brooke Butner, Robin Adams, Roxanne Picou, Cecilia Colome, Michael Ota Design: Alison Klassen, Joan Cunningham, Deborah Diver, Alan Klemp, Andy Hendrix, Rhonda Holcomb Production: Mychael Ferris-Pacheco, Heather Jernt, Greg Gaspard, Donna Brawley, John-Paxton Gremillion Manufacturing: Cathy Voltaggio Marketing: Marilyn Trow, Kimberly Sadler E-Learning: Layne Hedrick, Karen Stitt This book was made possible by the signifi cant contributions of many individuals and the dedicated efforts of a talented team at Harcourt Achieve. Special thanks to: • Melody Simmons and Chris Braun for suggestions and explanations for problem solving in Courses 1–3, • Elizabeth Rivas and Bryon Hake for their extensive contributions to lessons and practice in Course 3, • Sue Ellen Fealko for suggested application problems in Course 3. The long hours and technical assistance of John and James Hake on Courses 1–3, Robert Hake on Course 3, Tom Curtis on Course 3, and Roger Phan on Course 3 were invaluable in meeting publishing deadlines. The saintly patience and unwavering support of Mary is most appreciated. – Stephen Hake ISBN 1-5914-1835-6 © 2007 Harcourt Achieve Inc. and Stephen Hake All rights reserved. No part of the material protected by this copyright may be reproduced or utilized in any form or by any means, in whole or in part, without permission in writing from the copyright owner. Requests for permission should be mailed to: Paralegal Department, 6277 Sea Harbor Drive, Orlando, FL 32887. Saxon is a trademark of Harcourt Achieve Inc. 2 3 4 5 6 7 8 9 048 12 11 10 09 08 07 06 iii ABOUT THE AUTHOR Stephen Hake has authored five books in the Saxon Math series. He writes from 17 years of classroom experience as a teacher in grades 5 through 12 and as a math specialist in El Monte, California. As a math coach, his students won honors and recognition in local, regional, and statewide competitions. Stephen has been writing math curriculum since 1975 and for Saxon since 1985. He has also authored several math contests including Los Angeles County’s first Math Field Day contest. Stephen contributed to the 1999 National Academy of Science publication on the Nature and Teaching of Algebra in the Middle Grades. Stephen is a member of the National Council of Teachers of Mathematics and the California Mathematics Council. He earned his BA from United States International University and his MA from Chapman College. EDUCATIONAL CONSULTANTS Nicole Hamilton Consultant Manager Richardson, TX Joquita McKibben Consultant Manager Pensacola, FL John Anderson Lowell, IN Beckie Fulcher Gulf Breeze, FL Heidi Graviette Stockton, CA Brenda Halulka Atlanta, GA Marilyn Lance East Greenbush, NY Ann Norris Wichita Falls, TX Melody Simmons Nogales, AZ Benjamin Swagerty Moore, OK Kristyn Warren Macedonia, OH Mary Warrington East Wenatchee, WA iv Saxon Math Course 2 C O N T E N T S O V E R V I E W Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Letter from the Author . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvii How to Use Your Textbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xviii Introduction to Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Section 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Lessons 1–10, Investigation 1 Section 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 Lessons 11–20, Investigation 2 Section 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 Lessons 21–30, Investigation 3 Section 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 Lessons 31–40, Investigation 4 Section 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 296 Lessons 41–50, Investigation 5 Section 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 363 Lessons 51–60, Investigation 6 Section 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432 Lessons 61–70, Investigation 7 Section 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 502 Lessons 71–80, Investigation 8 Section 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 562 Lessons 81–90, Investigation 9 Section 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 631 Lessons 91–100, Investigation 10 Section 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 704 Lessons 101–110, Investigation 11 Section 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 778 Lessons 111–120, Investigation 12 Glossary with Spanish Terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 847 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 881 Table of Contents v T A B L E O F C O N T E N T S Integrated and Distributed Units of Instruction Lessons 1–10, Investigation 1 Section 1 Math Focus: Number & Operations • Algebra Distributed Strands: Number & Operations • Algebra • Geometry • Measurement • Problem Solving Lesson 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 • Arithmetic with Whole Numbers and Money • Variables and Evaluation Lesson 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 • Properties of Operations Lesson 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 • Unknown Numbers in Addition, Subtraction, Multiplication, and Division Lesson 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 • Number Line • Sequences Lesson 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 • Place Value Through Hundred Trillions • Reading and Writing Whole Numbers Lesson 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 • Factors • Divisibility Lesson 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 • Lines, Angles and Planes Lesson 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 • Fractions and Percents • Inch Ruler Lesson 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 • Adding, Subtracting, and Multiplying Fractions • Reciprocals Lesson 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 • Writing Division Answers as Mixed Numbers • Improper Fractions Investigation 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 • Investigating Fractions and Percents with Manipulatives Activity Using Fraction Manipulatives Maintaining & Extending Power Up Facts pp. 6, 13, 20, 26, 34, 40, 45, 53, 60, 66 Mental Math Strategies pp. 6, 13, 20, 26, 34, 40, 45, 53, 60, 66 Problem Solving Strategies pp. 6, 13, 20, 26, 34, 40, 45, 53, 60, 66 Enrichment Early Finishers pp. 12, 25, 33, 52 Extensions p. 74 T A B L E O F C O N T E N T S vi Saxon Math Course 2 T A B L E O F C O N T E N T S Lessons 11–20, Investigation 2 Section 2 Math Focus: Number & Operations • Problem Solving Distributed Strands: Number & Operations • Algebra • Geometry • Measurement • Problem Solving Lesson 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 • Problems About Combining • Problems About Separating Lesson 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 • Problems About Comparing • Elapsed-Time Problems Lesson 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 • Problems About Equal Groups Lesson 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 • Problems About Parts of a Whole • Simple Probability Lesson 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 • Equivalent Fractions • Reducing Fractions, Part 1 Lesson 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 • U.S. Customary System • Function Tables Lesson 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 • Measuring Angles with a Protractor Lesson 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 • Polygons • Similar and Congruent Lesson 19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128 • Perimeter Activity Creating Formulas for Perimeters of Polygons Lesson 20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 • Exponents • Rectangular Area, Part 1 • Square Root Activity Creating Formulas for the Areas of Rectangles and Squares Investigation 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 • Using a Compass and Straightedge, Part 1 Activity Drawing Concentric Circles Maintaining & Extending Power Up Facts pp. 75, 82, 88, 93, 100, 107, 114, 120, 128, 134 Mental Math Strategies pp. 75, 82, 88, 93, 100, 107, 114, 120, 128, 134 Problem Solving Strategies pp. 75, 82, 88, 93, 100, 107, 114, 120, 128, 134 Enrichment Early Finishers pp. 81, 87, 92, 113, 127, 133, 142 Table of Contents vii Lessons 21–30, Investigation 3 Section 3 Math Focus: Number & Operations • Problem Solving Distributed Strands: Number & Operations • Geometry • Problem Solving Lesson 21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 • Prime and Composite Numbers • Prime Factorization Lesson 22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 • Problems About a Fraction of a Group Lesson 23 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163 • Subtracting Mixed Numbers with Regrouping Lesson 24 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 • Reducing Fractions, Part 2 Lesson 25 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 • Dividing Fractions Lesson 26 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182 • Multiplying and Dividing Mixed Numbers Lesson 27 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188 • Multiples • Least Common Multiple • Equivalent Division Problems Lesson 28 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194 • Two-Step Word Problems • Average, Part 1 Lesson 29 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200 • Rounding Whole Numbers • Rounding Mixed Numbers • Estimating Answers Lesson 30 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208 • Common Denominators • Adding and Subtracting Fractions with Different Denominators Investigation 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 216 • Coordinate Plane Activity Coordinate Plane Maintaining & Extending Power Up Facts pp. 149, 157, 163, 169, 175, 182, 188, 194, 200, 208 Mental Math Strategies pp. 149, 157, 163, 169, 175, 182, 188, 194, 200, 208 Problem Solving Strategies pp. 149, 157, 163, 169, 175, 182, 188, 194, 200, 208 Enrichment Early Finishers pp. 162, 168, 187, 199, 207, 215 T A B L E O F C O N T E N T S viii Saxon Math Course 2 T A B L E O F C O N T E N T S Lessons 31–40, Investigation 4 Section 4 Math Focus: Number & Operations • Data Analysis & Probability Distributed Strands: Number & Operations • Geometry • Measurement • Data Analysis & Probability Lesson 31 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 • Reading and Writing Decimal Numbers Lesson 32 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228 • Metric System Lesson 33 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235 • Comparing Decimals • Rounding Decimals Lesson 34 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241 • Decimal Numbers on the Number Line Activity Decimal Numbers on a Meterstick Lesson 35 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247 • Adding, Subtracting, Multiplying, and Dividing Decimal Numbers Lesson 36 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 255 • Ratio • Sample Space Lesson 37 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 264 • Area of a Triangle • Rectangular Area, Part 2 Activity Area of a Triangle Lesson 38 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 • Interpreting Graphs Lesson 39 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280 • Proportions Lesson 40 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 285 • Sum of the Angle Measures of a Triangle • Angle Pairs Activity Sum of the Angle Measures of a Triangle Investigation 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293 • Stem-and-Leaf Plots, Box-and-Whisker Plots Maintaining & Extending Power Up Facts pp. 221, 228, 235, 241, 247, 255, 264, 273, 280, 285 Mental Math Strategies pp. 221, 228, 235, 241, 247, 255, 264, 273, 280, 285 Problem Solving Strategies pp. 221, 228, 235, 241, 247, 255, 264, 273, 280, 285 Enrichment Early Finishers pp. 234, 246, 254, 263, 292 Extensions p. 295 Table of Contents ix Lessons 41–50, Investigation 5 Section 5 Math Focus: Number & Operations Distributed Strands: Number & Operations • Measurement • Data Analysis & Probability Lesson 41 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 296 • Using Formulas • Distributive Property Activity Perimeter Formulas Lesson 42 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302 • Repeating Decimals Lesson 43 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309 • Converting Decimals to Fractions • Converting Fractions to Decimals • Converting Percents to Decimals Lesson 44 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 • Division Answers Lesson 45 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323 • Dividing by a Decimal Number Lesson 46 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 329 • Rates Lesson 47 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 336 • Powers of 10 Lesson 48 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 342 • Fraction-Decimal-Percent Equivalents Lesson 49 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 347 • Adding and Subtracting Mixed Measures Lesson 50 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 352 • Unit Multipliers and Unit Conversion Investigation 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359 • Creating Graphs Maintaining & Extending Power Up Facts pp. 296, 302, 309, 317, 323, 329, 336, 342, 347, 352 Mental Math Strategies pp. 296, 302, 309, 317, 323, 329, 336, 342, 347, 352 Problem Solving Strategies pp. 296, 302, 309, 317, 323, 329, 336, 342, 347, 352 Enrichment Early Finishers pp. 301, 308, 335, 358 Extensions p. 362 T A B L E O F C O N T E N T S x Saxon Math Course 2 T A B L E O F C O N T E N T S Lessons 51–60, Investigation 6 Section 6 Math Focus: Number & Operations • Problem Solving Distributed Strands: Number & Operations • Algebra • Geometry • Problem Solving Lesson 51 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 363 • Scientific Notation for Large Numbers Lesson 52 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369 • Order of Operations Lesson 53 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 375 • Ratio Word Problems Lesson 54 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380 • Rate Word Problems Lesson 55 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 386 • Average and Rate Problems with Multiple Steps Lesson 56 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 393 • Plotting Functions Lesson 57 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 400 • Negative Exponents • Scientific Notation for Small Numbers Lesson 58 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 406 • Symmetry Activity Line Symmetry Lesson 59 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 413 • Adding Integers on the Number Line Lesson 60 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 420 • Fractional Part of a Number, Part 1 • Percent of a Number, Part 1 Investigation 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 427 • Classifying Quadrilaterals Maintaining & Extending Power Up Facts pp. 363, 369, 375, 380, 386, 393, 400, 406, 413, 420 Mental Math Strategies pp. 363, 369, 375, 380, 386, 393, 400, 406, 413, 420 Problem Solving Strategies pp. 363, 369, 375, 380, 386, 393, 400, 406, 413, 420 Enrichment Early Finishers pp. 374, 379, 385, 392, 412, 419, 426 Table of Contents xi Lessons 61–70, Investigation 7 Section 7 Math Focus: Number & Operations • Geometry Distributed Strands: Number & Operations • Algebra • Geometry • Measurement Lesson 61 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432 • Area of a Parallelogram • Angles of a Parallelogram Activity 1 Area of a Parallelogram Activity 2 Angles of a Parallelogram Lesson 62 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 440 • Classifying Triangles Lesson 63 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 447 • Symbols of Inclusion Lesson 64 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 453 • Adding Positive and Negative Numbers Lesson 65 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 459 • Circumference and Pi Activity Investigating Circumference and Diameter Lesson 66 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 466 • Ratio Problems Involving Totals Lesson 67 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 472 • Geometric Solids Lesson 68 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 480 • Algebraic Addition Lesson 69 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 485 • Proper Form of Scientific Notation Lesson 70 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 490 • Volume Investigation 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 496 • Balanced Equations Maintaining & Extending Power Up Facts pp. 432, 440, 447, 453, 459, 466, 472, 480, 485, 490 Mental Math Strategies pp. 432, 440, 447, 453, 459, 466, 472, 480, 485, 490 Problem Solving Strategies pp. 432, 440, 447, 453, 459, 466, 472, 480, 485, 490 Enrichment Early Finishers pp. 439, 446, 452, 465, 471, 479, 489, 495 T A B L E O F C O N T E N T S xii Saxon Math Course 2 T A B L E O F C O N T E N T S Lessons 71–80, Investigation 8 Section 8 Math Focus: Number & Operations • Algebra Distributed Strands: Number & Operations • Algebra • Geometry • Measurement Lesson 71 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 502 • Finding the Whole Group When a Fraction Is Known Lesson 72 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 507 • Implied Ratios Lesson 73 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 513 • Multiplying and Dividing Positive and Negative Numbers Lesson 74 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 518 • Fractional Part of a Number, Part 2 Lesson 75 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 523 • Area of a Complex Figure • Area of a Trapezoid Lesson 76 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 529 • Complex Fractions Lesson 77 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 534 • Percent of a Number, Part 2 Lesson 78 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 540 • Graphing Inequalities Lesson 79 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 545 • Estimating Areas Activity Estimating the Area of Your Handprint Lesson 80 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 550 • Transformations Investigation 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 558 • Probability and Odds • Compound Events • Experimental Probability Activity Experimental Probability Maintaining & Extending Power Up Facts pp. 502, 507, 513, 518, 523, 529, 534, 540, 545, 550 Mental Math Strategies pp. 502, 507, 513, 518, 523, 529, 534, 540, 545, 550 Problem Solving Strategies pp. 502, 507, 513, 518, 523, 529, 534, 540, 545, 550 Enrichment Early Finishers pp. 512, 517, 522, 528, 539, 544, 549 Extensions p. 561 Table of Contents xiii Lessons 81–90, Investigation 9 Section 9 Math Focus: Algebra Distributed Strands: Number & Operations • Algebra • Geometry • Measurement Lesson 81 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 562 • Using Proportions to Solve Percent Problems Lesson 82 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 569 • Area of a Circle Lesson 83 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 575 • Multiplying Numbers in Scientific Notation Lesson 84 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 580 • Algebraic Terms Lesson 85 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 586 • Order of Operations with Positive and Negative Numbers Lesson 86 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 592 • Number Families Lesson 87 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 598 • Multiplying Algebraic Terms Lesson 88 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 604 • Multiple Unit Multipliers Lesson 89 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 610 • Diagonals • Interior Angles • Exterior Angles Activity Exterior Angles Lesson 90 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 618 • Mixed-Number Coefficients • Negative Coefficients Investigation 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 624 • Graphing Functions Maintaining & Extending Power Up Facts pp. 562, 569, 575, 580, 586, 592, 598, 604, 610, 618 Mental Math Strategies pp. 562, 569, 575, 580, 586, 592, 598, 604, 610, 618 Problem Solving Strategies pp. 562, 569, 575, 580, 586, 592, 598, 604, 610, 618 Enrichment Early Finishers pp. 568, 574, 585, 603, 609, 617, 623 T A B L E O F C O N T E N T S xiv Saxon Math Course 2 T A B L E O F C O N T E N T S Lessons 91–100, Investigation 10 Section 10 Math Focus: Algebra • Geometry Distributed Strands: Number & Operations • Algebra • Geometry • Measurement • Data Analysis & Probability Lesson 91 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 631 • Evaluations with Positive and Negative Numbers Lesson 92 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 636 • Percent of Change Lesson 93 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 642 • Two-Step Equations and Inequalities Lesson 94 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 648 • Probability of Dependent Events Lesson 95 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 653 • Volume of a Right Solid Lesson 96 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 660 • Estimating Angle Measures • Distributive Property with Algebraic Terms Lesson 97 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 668 • Similar Triangles • Indirect Measure Activity Indirect Measure Lesson 98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 677 • Scale • Scale Factor Lesson 99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 686 • Pythagorean Theorem Lesson 100 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 693 • Estimating Square Roots • Irrational Numbers Investigation 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 699 • Using a Compass and Straightedge, Part 2 Maintaining & Extending Power Up Facts pp. 631, 636, 642, 648, 653, 660, 668, 677, 686, 693 Mental Math Strategies pp. 631, 636, 642, 648, 653, 660, 668, 677, 686, 693 Problem Solving Strategies pp. 631, 636, 642, 648, 653, 660, 668, 677, 686, 693 Enrichment Early Finishers pp. 635, 641, 659, 667, 676, 685, 692

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