Table Of Content

Course 3 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 1-5914-1884-4 © 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. 1 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 3 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 Lessons 11–20, Investigation 2 Section 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 Lessons 21–30, Investigation 3 Section 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202 Lessons 31–40, Investigation 4 Section 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277 Lessons 41–50, Investigation 5 Section 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 346 Lessons 51–60, Investigation 6 Section 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 415 Lessons 61–70, Investigation 7 Section 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479 Lessons 71–80, Investigation 8 Section 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 545 Lessons 81–90, Investigation 9 Section 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 610 Lessons 91–100, Investigation 10 Section 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 675 Lessons 101–110, Investigation 11 Section 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 731 Lessons 111–120, Investigation 12 Appendix: Additional Topics in Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 785 Glossary with Spanish Terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 859 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 897 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 • Measurement Distributed Strands: Number & Operations • Algebra • Geometry • Measurement • Data Analysis & Probability • Problem Solving Lesson 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 • Number Line: Comparing and Ordering Integers Lesson 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 • Operations of Arithmetic Lesson 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 • Addition and Subtraction Word Problems Lesson 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 • Multiplication and Division Word Problems Lesson 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 • Fractional Parts Lesson 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 • Converting Measures Lesson 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 • Rates and Average • Measures of Central Tendency Lesson 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 • Perimeter and Area Lesson 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 • Prime Numbers Lesson 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 • Rational Numbers • Equivalent Fractions Investigation 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 • The Coordinate Plane Activity Coordinate Plane Maintaining & Extending Power Up Facts pp. 6, 12, 19, 26, 31, 36, 41, 47, 54, 60 Mental Math Strategies pp. 6, 12, 19, 26, 31, 36, 41, 47, 54, 60 Problem Solving Strategies pp. 6, 12, 19, 26, 31, 36, 41, 47, 54, 60 Enrichment Early Finishers pp. 11, 25, 40, 53 T A B L E O F C O N T E N T S vi Saxon Math Course 3 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 • Geometry Distributed Strands: Number & Operations • Algebra • Measurement • Geometry • Problem Solving Lesson 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 • Percents Lesson 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 • Decimal Numbers Lesson 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 • Adding and Subtracting Fractions and Mixed Numbers Lesson 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 • Evaluation • Solving Equations by Inspection Lesson 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 • Powers and Roots Lesson 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 • Irrational Numbers Lesson 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 • Rounding and Estimating Lesson 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 • Lines and Angles Lesson 19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 • Polygons Lesson 20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 • Triangles Investigation 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 • Pythagorean Theorem Activity Pythagorean Puzzle Maintaining & Extending Power Up Facts pp. 72, 78, 85, 92, 97, 103, 108, 114, 120, 126 Mental Math Strategies pp. 72, 78, 85, 92, 97, 103, 108, 114, 120, 126 Problem Solving Strategies pp. 72, 78, 85, 92, 97, 103, 108, 114, 120, 126 Enrichment Early Finishers pp. 107, 119, 125 Table of Contents vii Lessons 21–30, Investigation 3 Section 3 Math Focus: Number & Operations Distributed Strands: Number & Operations • Algebra • Geometry • Problem Solving Lesson 21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 • Distributive Property • Order of Operations Lesson 22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 • Multiplying and Dividing Fractions Lesson 23 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 • Multiplying and Dividing Mixed Numbers Lesson 24 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159 • Adding and Subtracting Decimal Numbers Lesson 25 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163 • Multiplying and Dividing Decimal Numbers Lesson 26 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 • Transformations Activity Describing Transformations Lesson 27 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176 • Laws of Exponents Lesson 28 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 • Scientific Notation for Large Numbers Lesson 29 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186 • Ratio Lesson 30 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192 • Repeating Decimals Investigation 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 • Classifying Quadrilaterals Maintaining & Extending Power Up Facts pp. 139, 146, 153, 159, 163, 169, 176, 181, 186, 192 Mental Math Strategies pp. 139, 146, 153, 159, 163, 169, 176, 181, 186, 192 Problem Solving Strategies pp. 139, 146, 153, 159, 163, 169, 176, 181, 186, 192 Enrichment Early Finishers pp. 158, 180, 185, 191 T A B L E O F C O N T E N T S viii Saxon Math Course 3 T A B L E O F C O N T E N T S Lessons 31–40, Investigation 4 Section 4 Math Focus: Algebra • Measurement Distributed Strands: Number & Operations • Algebra • Geometry • Measurement • Data Analysis & Probability • Problem Solving Lesson 31 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202 • Adding Integers • Collecting Like Terms Lesson 32 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210 • Probability Lesson 33 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 218 • Subtracting Integers Lesson 34 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223 • Proportions • Ratio Word Problems Lesson 35 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 229 • Similar and Congruent Polygons Lesson 36 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 • Multiplying and Dividing Integers • Multiplying and Dividing Terms Lesson 37 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 • Areas of Combined Polygons Lesson 38 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250 • Using Properties of Equality to Solve Equations Lesson 39 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257 • Circumference of a Circle Lesson 40 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 264 • Area of a Circle Investigation 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 271 • Drawing Geometric Solids Activity 1 Sketching Prisms and Cylinders Using Parallel Projection Activity 2 Sketching Pyramids and Cones Activity 3 Create a Multiview Drawing Activity 4 One-Point Perspective Drawing Maintaining & Extending Power Up Facts pp. 202, 210, 218, 223, 229, 237, 245, 250, 257, 264 Mental Math Strategies pp. 202, 210, 218, 223, 229, 237, 245, 250, 257, 264 Problem Solving Strategies pp. 202, 210, 218, 223, 229, 237, 245, 250, 257, 264 Enrichment Early Finishers pp. 217, 222, 244, 263, 270 Extensions p. 275 Table of Contents ix Lessons 41–50, Investigation 5 Section 5 Math Focus: Number & Operations • Algebra Distributed Strands: Number & Operations • Algebra • Geometry • Measurement • Problem Solving Lesson 41 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277 • Functions Lesson 42 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287 • Volume Lesson 43 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 294 • Surface Area Activity Surface Area of a Box Lesson 44 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300 • Solving Proportions Using Cross Products • Slope of a Line Lesson 45 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 308 • Ratio Problems Involving Totals Lesson 46 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 • Solving Problems Using Scientific Notation Lesson 47 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319 • Graphing Functions Lesson 48 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 326 • Percent of a Whole Lesson 49 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 330 • Solving Rate Problems with Proportions and Equations Lesson 50 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 336 • Solving Multi-Step Equations Investigation 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 342 • Graphing Transformations Maintaining & Extending Power Up Facts pp. 277, 287, 294, 300, 308, 313, 319, 326, 330, 336 Mental Math Strategies pp. 277, 287, 294, 300, 308, 313, 319, 326, 330, 336 Problem Solving Strategies pp. 277, 287, 294, 300, 308, 313, 319, 326, 330, 336 Enrichment Early Finishers pp. 307, 341 T A B L E O F C O N T E N T S x Saxon Math Course 3 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 • Data Analysis & Probability Distributed Strands: Number & Operations • Algebra • Geometry • Measurement • Data Analysis & Probability • Problem Solving Lesson 51 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 346 • Negative Exponents • Scientific Notation for Small Numbers Lesson 52 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354 • Using Unit Multipliers to Convert Measures • Converting Mixed-Unit to Single-Unit Measures Lesson 53 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 360 • Solving Problems Using Measures of Central Tendency Lesson 54 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 367 • Angle Relationships Lesson 55 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 375 • Nets of Prisms, Cylinders, Pyramids, and Cones Activity Net of a Cone Lesson 56 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 382 • The Slope-Intercept Equation of a Line Lesson 57 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389 • Operations with Small Numbers in Scientific Notation Lesson 58 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 394 • Solving Percent Problems with Equations Lesson 59 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 400 • Experimental Probability Lesson 60 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 406 • Area of a Parallelogram Activity Area of a Parallelogram Investigation 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 412 • Collect, Display, and Interpret Data Maintaining & Extending Power Up Facts pp. 346, 354, 360, 367, 375, 382, 389, 394, 400, 406 Mental Math Strategies pp. 346, 354, 360, 367, 375, 382, 389, 394, 400, 406 Problem Solving Strategies pp. 346, 354, 360, 367, 375, 382, 389, 394, 400, 406 Enrichment Early Finishers pp. 353, 366, 374, 381, 399 Table of Contents xi Lessons 61–70, Investigation 7 Section 7 Math Focus: Algebra Distributed Strands: Number & Operations • Algebra • Geometry • Measurement • Data Analysis & Probability • Problem Solving Lesson 61 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 415 • Sequences Lesson 62 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 422 • Graphing Solutions to Inequalities on a Number Line Lesson 63 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 429 • Rational Numbers, Non-Terminating Decimals, and Percents • Fractions with Negative Exponents Lesson 64 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 435 • Using a Unit Multiplier to Convert a Rate Lesson 65 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 440 • Applications Using Similar Triangles Lesson 66 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 446 • Special Right Triangles Lesson 67 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452 • Percent of Change Lesson 68 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 457 • Probability Multiplication Rule Lesson 69 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 463 • Direct Variation Lesson 70 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 470 • Solving Direct Variation Problems Investigation 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 476 • Probability Simulation Activity 1 Probability Simulation Activity 2 Design and Conduct a Simulation Maintaining & Extending Power Up Facts pp. 415, 422, 429, 435, 440, 446, 452, 457, 463, 470 Mental Math Strategies pp. 415, 422, 429, 435, 440, 446, 452, 457, 463, 470 Problem Solving Strategies pp. 415, 422, 429, 435, 440, 446, 452, 457, 463, 470 Enrichment Early Finishers pp. 462, 475 T A B L E O F C O N T E N T S xii Saxon Math Course 3 T A B L E O F C O N T E N T S Lessons 71–80, Investigation 8 Section 8 Math Focus: Algebra • Measurement Distributed Strands: Number & Operations • Algebra • Measurement • Data Analysis & Probability Lesson 71 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479 • Percent Change of Dimensions Lesson 72 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486 • Multiple Unit Multipliers Lesson 73 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 491 • Formulas for Sequences Lesson 74 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 496 • Simplifying Square Roots Lesson 75 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 502 • Area of a Trapezoid Lesson 76 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 507 • Volumes of Prisms and Cylinders Lesson 77 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 514 • Inequalities with Negative Coefficients Lesson 78 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 519 • Products of Square Roots Lesson 79 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 525 • Transforming Formulas Lesson 80 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 • Adding and Subtracting Mixed Measures • Polynomials Investigation 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 538 • Scatterplots Activity Make a Scatterplot and Graph a Best-fit Line Maintaining & Extending Power Up Facts pp. 479, 486, 491, 496, 502, 507, 514, 519, 525, 531 Mental Math Strategies pp. 479, 486, 491, 496, 502, 507, 514, 519, 525, 531 Problem Solving Strategies pp. 479, 486, 491, 496, 502, 507, 514, 519, 525, 531 Enrichment Early Finishers pp. 485, 530 Table of Contents xiii Lessons 81–90, Investigation 9 Section 9 Math Focus: Algebra • Measurement Distributed Strands: Number & Operations • Algebra • Geometry • Measurement • Data Analysis & Probability • Problem Solving Lesson 81 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 545 • Central Angles and Arcs Lesson 82 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 550 • Graphing Equations Using Intercepts Lesson 83 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 557 • Probability of Dependent Events Lesson 84 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 563 • Selecting an Appropriate Rational Number Lesson 85 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 568 • Surface Area of Cylinders and Prisms Lesson 86 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 574 • Volume of Pyramids and Cones Lesson 87 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 580 • Scale Drawing Word Problems Lesson 88 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 585 • Review of Proportional and Non-Proportional Relationships Lesson 89 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 593 • Solving Problems with Two Unknowns by Graphing Lesson 90 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 599 • Sets Investigation 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 606 • Sampling Methods Activity Random Number Generators Maintaining & Extending Power Up Facts pp. 545, 550, 557, 563, 568, 574, 580, 585, 593, 599 Mental Math Strategies pp. 545, 550, 557, 563, 568, 574, 580, 585, 593, 599 Problem Solving Strategies pp. 545, 550, 557, 563, 568, 574, 580, 585, 593, 599 Enrichment Early Finishers pp. 567, 573, 584, 592, 598, 605 T A B L E O F C O N T E N T S xiv Saxon Math Course 3 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 • Measurement Distributed Strands: Algebra • Measurement • Geometry • Data Analysis & Probability Lesson 91 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 610 • Effect of Scaling on Perimeter, Area, and Volume Lesson 92 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 617 • Areas of Rectangles with Variable Dimensions • Products of Binomials Lesson 93 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 624 • Equations with Exponents Lesson 94 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 629 • Graphing Pairs of Inequalities on a Number Line Lesson 95 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 634 • Slant Heights of Pyramids and Cones Lesson 96 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 640 • Geometric Measures with Radicals Lesson 97 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 646 • Recursive Rules for Sequences Lesson 98 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 651 • Relations and Functions Lesson 99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 658 • Inverse Variation Lesson 100 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 664 • Surface Areas of Right Pyramids and Cones Investigation 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 670 • Compound Interest Activity Calculating Interest and Growth Maintaining & Extending Power Up Facts pp. 610, 617, 624, 629, 634, 640, 646, 651, 658, 664 Mental Math Strategies pp. 610, 617, 624, 629, 634, 640, 646, 651, 658, 664 Problem Solving Strategies pp. 610, 617, 624, 629, 634, 640, 646, 651, 658, 664 Enrichment Early Finishers pp. 623, 645, 657, 669