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UNIT 1 NUMERICAL RELATIONSHIPS Planning the Unit 1a Unit 1 Overview 1 Getting Ready 2

Activity 1 Investigating Patterns—Laws and Order 3 Lesson 1-1 Analyzing Sequences 3 Lesson 1-2 Analyzing More Sequences 7 Lesson 1-3 Increasing and Decreasing Sequences 11 Activity 1 Practice 15

Activity 2 Operations with Fractions—And the Beat Goes On 17 Lesson 2-1 Adding and Subtracting Fractions 17 Lesson 2-2 Multiplying and Dividing Fractions 23 Activity 2 Practice 29

Embedded Assessment 1 Patterns and Quantitative Reasoning—Game On 31

Activity 3 Powers and Roots—Squares and Cubes 33 Lesson 3-1 Area, Squares, and Square Roots 33 Lesson 3-2 Volume, Cubes, and Cube Roots 38 Lesson 3-3 Exponents, Roots, and Order of Operations 41 Activity 3 Practice 43

Activity 4 Rational Numbers—Know When to Fold ‘Em 45 Lesson 4-1 Modeling Fractions 45 Lesson 4-2 Rational Number Representations 50 Lesson 4-3 Comparing Rational Numbers 53 Activity 4 Practice 57

Activity 5 Rational and Irrational Numbers—Where Am I? 59 Lesson 5-1 Estimating Irrational Numbers 59 Lesson 5-2 Comparing Rational and Irrational Numbers 63 Activity 5 Practice 67

Embedded Assessment 2 Representing Rational and Irrational Numbers— Weather or Not? 69

Activity 6 Properties of Exponents—That’s a Lot of Cats 71 Lesson 6-1 Multiply and Divide with Exponents 71 Lesson 6-2 Negative Exponents 75 Lesson 6-3 Power of Zero and Power of Powers 78 Activity 6 Practice 81

Activity 7 Scientific Notation—A Traveler’s Tale 83 Lesson 7-1 Scientific Notation vs. Standard Form 83 Lesson 7-2 Scientific Notation: Power of Zero, Negative Exponents, and Ordering 88 Activity 7 Practice 91

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Activity 8 Operations with Scientific Notation—How Big is That Planet? 93 Lesson 8-1 Multiply and Divide in Scientific Notation 93 Lesson 8-2 Add and Subtract in Scientific Notation 97 Activity 8 Practice 99

Embedded Assessment 3 Exponents and Scientific Notation— Contagious Mathematics 101

UNIT 2 EQUATIONS Planning the Unit 103a Unit 2 Overview 103 Getting Ready 104

Activity 9 Writing Expressions—Pebbles in the Sand 105 Lesson 9-1 Representing Patterns 105 Lesson 9-2 Using Patterns to Write and Evaluate Expressions 111 Activity 9 Practice 117

Activity 10 Solving Equations—Cups and Cubes 119 Lesson 10-1 Solving Linear Equations with Models 119 Lesson 10-2 Solving Linear Equations Algebraically 124 Activity 10 Practice 129

Embedded Assessment 1 Expressions and Equations—What a Good Idea! 131

Activity 11 Exploring Slope—High Mountain Ratio 133 Lesson 11-1 Linear Equations and Slope 133 Lesson 11-2 More on Linear Equations and Slope 140 Activity 11 Practice 145

Activity 12 Slope-Intercept Form—Leaky Bottle 147 Lesson 12-1 Identifying Slope Using Tables and Graphs 147 Lesson 12-2 Comparing Slopes of Different Lines 151 Lesson 12-3 Linear Relationships Using Slope-Intercept Form 155 Activity 12 Practice 159

Activity 13 Proportional Relationships—Vary Interesting 161 Lesson 13-1 Linear Proportional Relationships 161 Lesson 13-2 Directly Proportional Relationships 166 Activity 13 Practice 172

Embedded Assessment 2 Linear Equations and Rates of Change—Who Is That? 174

Activity 14 Graphing Systems of Linear Equations—System of Trees 177 Lesson 14-1 Understanding Solutions to Linear Systems 177 Lesson 14-2 Solving Linear Systems by Graphing 182 Activity 14 Practice 187

Activity 15 Solving Systems of Linear Equations Algebraically— What’s the Point? 189 Lesson 15-1 Solving Linear Systems Algebraically 189 Lesson 15-2 Applications of Linear Systems 194 Activity 15 Practice 197

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Embedded Assessment 3 Solving Systems of Linear Equations— Supply and Demand 199

UNIT 3 GEOMETRY Planning the Unit 201a Unit 3 Overview 201 Getting Ready 202

Activity 16 Angle-Pair Relationships—The Winning Angle 203 Lesson 16-1 Complementary and Supplementary Angles 203 Lesson 16-2 Angles Formed by Parallel Lines 208 Activity 16 Practice 215

Activity 17 Angles of Triangles and Quadrilaterals—The Parallel Chute 217 Lesson 17-1 Angles in a Triangle 217 Lesson 17-2 Exterior Angles and Angles in Quadrilaterals 223 Activity 17 Practice 227

Embedded Assessment 1 Angle Measures—Light and Glass 229

Activity 18 Introduction to Transformations—Move It! 231 Lesson 18-1 What is a Transformation? 231 Lesson 18-2 Translations and Coordinates 234 Lesson 18-3 Reflections and Coordinates 238 Lesson 18-4 Rotations and Coordinates 241 Activity 18 Practice 245

Activity 19 Rigid Transformations and Compositions—All the Right Moves 247 Lesson 19-1 Properties of Transformations 247 Lesson 19-2 Composition of Transformations 254 Activity 19 Practice 261

Embedded Assessment 2 Rigid Transformations—In Transformations We Trust 263

Activity 20 Similar Triangles—Mirrors and Shadows 265 Lesson 20-1 Exploring Similarity 265 Lesson 20-2 Properties and Conditions of Similar Triangles 271 Activity 20 Practice 277

Activity 21 Dilations—Alice’s Adventures in Shrinking and Growing 279 Lesson 21-1 Stretching and Shrinking Geometric Figures 279 Lesson 21-2 Effects of Scale Factor 286 Activity 21 Practice 291

Embedded Assessment 3 Similarity and Dilations—Business as Usual 293

Activity 22 The Pythagorean Theorem—Stop the Presses 297 Lesson 22-1 Pythagorean Theorem: Squares of Lengths 297 Lesson 22-2 Pythagorean Theorem: Missing Lengths 301 Activity 22 Practice 305

Activity 23 Applying the Pythagorean Theorem—Diamond in the Rough 307 Lesson 23-1 The Pythagorean Theorem in Two and Three Dimensions 307

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Lesson 23-2 The Pythagorean Theorem and the Coordinate Plane 311 Activity 23 Practice 315

Activity 24 Converse of the Pythagorean Theorem—Paper Clip Chains 317 Lesson 24-1 The Converse of the Pythagorean Theorem 317 Lesson 24-2 Pythagorean Triples 321 Activity 24 Practice 323

Embedded Assessment 4 The Pythagorean Theorem—Camp Euclid 325

Activity 25 Surface Area—Greenhouse Gardens 327 Lesson 25-1 Lateral and Surface Areas of Prisms 327 Lesson 25-2 Lateral and Surface Areas of Cylinders 333 Activity 25 Practice 337

Activity 26 Volume of Solids—Castles in the Sand 339 Lesson 26-1 Volumes of Prisms and Pyramids 339 Lesson 26-2 Volumes of Cylinders, Cones, and Spheres 343 Lesson 26-3 Volumes of Composite Solids 348 Activity 26 Practice 351

Embedded Assessment 5 Surface Area and Volume—Air Dancing 353

UNIT 4 FUNCTIONS Planning the Unit 355a Unit 4 Overview 355 Getting Ready 356

Activity 27 Introduction to Functions—It’s All Related 357 Lesson 27-1 What is a Function? 357 Lesson 27-2 Mapping Inputs and Outputs 362 Lesson 27-3 Identifying Functions 366 Lesson 27-4 Graphs of Functions 370 Activity 27 Practice 377

Activity 28 Comparing Functions—Which Car Wins? 379 Lesson 28-1 Representing Functions 379 Lesson 28-2 Analyzing Functions 391 Activity 28 Practice 394

Activity 29 Constructing Functions—Hold On to Your Hats 395 Lesson 29-1 Construct a Function 395 Lesson 29-2 Rate of Change and Initial Value 400 Activity 29 Practice 406

Embedded Assessment 1 Functions—Remember When? 408

Activity 30 Linear Functions—Get in Line 411 Lesson 30-1 Rate of Change 411 Lesson 30-2 Representing Linear Relationships 417 Activity 30 Practice 421

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Activity 31 Linear and Non-Linear Functions—Measure Up 423 Lesson 31-1 Bean Experiment 423 Lesson 31-2 Bean Experiment Continued 429 Lesson 31-3 Scale Experiment 433 Activity 31 Practice 438

Embedded Assessment 2 Scatter Plots and Trend Lines—Geographically Speaking 440

UNIT 5 PROBABILITY AND STATISTICS Planning the Unit 443a Unit 5 Overview 443 Getting Ready 444

Activity 32 Scatter Plots and Association—Cracker Snacker 445 Lesson 32-1 Scatter Plots 445 Lesson 32-2 Association 449 Activity 32 Practice 453

Activity 33 Bivariate Data—Sue Swandive 455 Lesson 33-1 Collecting Data 455 Lesson 33-2 Trend Lines 459 Lesson 33-3 The Competition! 461 Activity 33 Practice 464

Embedded Assessment 1 Scatter Plots, Associations, and Trends—U.S. Census 465

Activity 34 Median-Median Line—Homework Help Line 467 Lesson 34-1 Finding the Median-Median Line 467 Lesson 34-2 Using the Median-Median Line 473 Activity 34 Practice 476

Activity 35 Two-Way Tables and Association—Student Opinions 477 Lesson 35-1 Two-Way Tables 477 Lesson 35-2 Investigating Association 481 Activity 35 Practice 484

Embedded Assessment 2 Median-Median Line and Two-Way Tables— Mokher’s Measurements 485

UNIT 6 PERSONAL FINANCIAL LITERACY Planning the Unit 487a Unit 6 Overview 487 Getting Ready 488

Activity 36 Managing Money—To Charge or Not 489 Lesson 36-1 The Cost of Borrowing 489 Lesson 36-2 Saving for the Future 494 Activity 36 Practice 498

RESOURCES 499 Formulas 500 Learning Strategies 504 Glossary 507 Academic Vocabulary Graphic Organizers 518

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