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UNIT 1 NUMBER CONCEPTS Planning the Unit 1a Unit 1 Overview 1 Getting Ready 2

Activity 1 Whole Numbers and Decimals—Science, Shopping, and Society 3 Lesson 1-1 Comparing and Ordering Whole Numbers and Decimals 3 Lesson 1-2 Adding and Subtracting Decimals 6 Lesson 1-3 Multiplying Decimals 11 Lesson 1-4 Dividing Whole Numbers 15 Lesson 1-5 Dividing Decimals 19 Activity 1 Practice 23

Embedded Assessment 1 Comparing and Computing with Whole Numbers and Decimals—For the Birds 25

Activity 2 Prime Factorization and Exponents—The Primes of Your Life 27 Lesson 2-1 Prime Factorization 27 Lesson 2-2 Exponents 30 Activity 2 Practice 33

Activity 3 Greatest Common Factor and Least Common Multiple—Parties and Pups 35 Lesson 3-1 Greatest Common Factor 35 Lesson 3-2 Least Common Multiple 38 Activity 3 Practice 41

Embedded Assessment 2 Prime Factorization, Exponents, GCF, and LCM— Winter Sports 43

Activity 4 Fractions and Mixed Numbers—The Choice Is Yours 45 Lesson 4-1 Meaning of Fractions 45 Lesson 4-2 Comparing and Ordering Fractions 50 Lesson 4-3 Mixed Numbers 56 Lesson 4-4 Comparing and Ordering Mixed Numbers 60 Activity 4 Practice 62

Activity 5 Multiplying Fractions and Mixed Numbers—Skateboarding Fun! 63 Lesson 5-1 Multiplying by Fractions 63 Lesson 5-2 Multiplying Mixed Numbers 67 Activity 5 Practice 69

Activity 6 Dividing Fractions and Mixed Numbers—How Many Sandwiches? 71 Lesson 6-1 Dividing by Fractions 71 Lesson 6-2 Dividing Mixed Numbers 75 Activity 6 Practice 77

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Instructional Units

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Embedded Assessment 3 Multiplying and Dividing Fractions and Mixed Numbers— Juan’s Bookcase 79

UNIT 2 INTEGERS Planning the Unit 81a Unit 2 Overview 81 Getting Ready 82

Activity 7 Introduction to Integers—Get the Point? 83 Lesson 7-1 Integers and the Number Line 83 Lesson 7-2 Comparing and Ordering Integers 87 Activity 7 Practice 91

Activity 8 Adding and Subtracting Integers—What’s the Temperature? 93 Lesson 8-1 Using Models to Add Integers 93 Lesson 8-2 Using Rules to Add Integers 97 Lesson 8-3 Subtracting Integers 100 Activity 8 Practice 105

Embedded Assessment 1 Integer Sums and Differences—Hot and Cold 107

Activity 9 The Coordinate Plane—Map It Out! 109 Lesson 9-1 Integers in the Coordinate Plane 109 Lesson 9-2 Distance and Reflections in the Coordinate Plane 112 Activity 9 Practice 116

Activity 10 Multiplying and Dividing Integers—Temperature Ups and Downs 117 Lesson 10-1 Multiplying Integers 117 Lesson 10-2 Dividing Integers 122 Activity 10 Practice 125

Embedded Assessment 2 Coordinate Plane and Multiplying and Dividing Integers— Scavenger Hunt 127

UNIT 3 EXPRESSIONS AND EQUATIONS Planning the Unit 129a Unit 3 Overview 129 Getting Ready 130

Activity 11 Expressions—A Fairly Ordered Operation 131 Lesson 11-1 Order of Operations 131 Lesson 11-2 Evaluating Algebraic Expressions 136 Lesson 11-3 Writing Expressions 139 Lesson 11-4 Properties of Operations 143 Activity 11 Practice 147

Activity 12 Equations—Dog Gone 149 Lesson 12-1 Representing Situations with Equations 149 Lesson 12-2 Solutions of Equations 152 Activity 12 Practice 155

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Embedded Assessment 1 Order of Operations and Expressions—The Cost of After-School Activities 157

Activity 13 Solving Addition and Subtraction Equations—Music to My Ears 159 Lesson 13-1 Modeling and Solving Addition Equations 159 Lesson 13-2 Solving Addition Equations 162 Lesson 13-3 Modeling and Solving Subtraction Equations 166 Lesson 13-4 Solving Subtraction Equations 169 Activity 13 Practice 173

Activity 14 Solving Multiplication and Division Equations—Trash Talk 175 Lesson 14-1 Modeling and Solving Multiplication Equations 175 Lesson 14-2 Solving Multiplication Equations 178 Lesson 14-3 Solving Division Equations 182 Activity 14 Practice 185

Activity 15 Expressions and Equations—Up in the Air 187 Lesson 15-1 Representing Situations with Inequalities 187 Lesson 15-2 Solving One-Step Inequalities 193 Activity 15 Practice 197

Activity 16 Expressions and Equations—Moving Right Along 199 Lesson 16-1 Representing Relationships 199 Lesson 16-2 Dependent and Independent Variables 204 Activity 16 Practice 209

Embedded Assessment 2 Expressions and Equations—The School Book Fair 211

UNIT 4 RATIOS Planning the Unit 213a Unit 4 Overview 213 Getting Ready 214

Activity 17 Understanding Ratios—All About Pets 215 Lesson 17-1 Understanding Ratios 215 Lesson 17-2 Ratios in Proportional Relationships 218 Activity 17 Practice 221

Activity 18 Reasoning with Ratios—A Picture Is Worth 223 Lesson 18-1 Solve Problems Using Ratios 223 Lesson 18-2 Converting Between Measurements Using Ratios 227 Activity 18 Practice 231

Activity 19 Rates and Unit Rates—Zooming! 233 Lesson 19-1 Understanding Rates and Unit Rates 233 Lesson 19-2 Calculating Unit Rates 236 Lesson 19-3 Calculating Rates of Speed 240 Activity 19 Practice 243

Embedded Assessment 1 Ratios and Rates—A Summer Job 245

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Activity 20 Using Models to Understand Percents—A “Cent” for Your Thoughts 247 Lesson 20-1 Using Models to Understand Percents 247 Lesson 20-2 Percents, Fractions, and Decimals 251 Lesson 20-3 More Percents, Decimals, and Fractions 256 Activity 20 Practice 259

Activity 21 Applying Percents—Feel the Beat 261 Lesson 21-1 Using Models to Understand Percents 261 Lesson 21-2 Find the Part Given a Percent and a Whole 264 Lesson 21-3 Find the Whole Given a Part and the Percent 268 Activity 21 Practice 271

Embedded Assessment 2 Understanding and Applying Percents—An Ice Cream Treat 273

UNIT 5 GEOMETRIC CONCEPTS Planning the Unit 275a Unit 5 Overview 275 Getting Ready 276

Activity 22 Angles and Triangles—Triangle Trivia 277 Lesson 22-1 Properties of Triangles and Side Lengths 277 Lesson 22-2 Properties of Triangles and Angle Measures 281 Activity 22 Practice 287

Activity 23 Area and Perimeter of Polygons—Play Area 289 Lesson 23-1 Recalling Quadrilaterals 289 Lesson 23-2 Perimeter and Area of Composite Figures 293 Lesson 23-3 Area of Triangles, Trapezoids, and Polygons 297 Activity 23 Practice 301

Activity 24 Polygons on the Coordinate Plane—Wall Art 305 Lesson 24-1 Defining Polygons on the Coordinate Plane 305 Lesson 24-2 Area of Polygons on a Coordinate Plane 309 Activity 24 Practice 313

Embedded Assessment 1 Geometric Concepts—Astronomy Logo 315

Activity 25 Nets and Surface Area—All Boxed Up 317 Lesson 25-1 Nets and Surface Area of Cubes 317 Lesson 25-2 Nets and Surface Area of Prisms 321 Activity 25 Practice 325

Activity 26 Volume—Crystal Collections 331 Lesson 26-1 Volume of Cubes 331 Lesson 26-2 Volume of Rectangular Prisms 335 Activity 26 Practice 339

Embedded Assessment 2 Surface Area and Volume of Prisms—Coloring Creations 343

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UNIT 6 DATA ANALYSIS Planning the Unit 345a Unit 6 Overview 345 Getting Ready 346

Activity 27 Summarizing Data Graphically—Making a Survey 347 Lesson 27-1 Survey Questions and Variability 347 Lesson 27-2 Types of Variables and Graphs 351 Lesson 27-3 Shapes of Distributions 357 Activity 27 Practice 362

Activity 28 Measures of Center—Bull’s Eye 363 Lesson 28-1 Mean and Outliers 363 Lesson 28-2 Median 367 Lesson 28-3 Summarize the Center of a Distribution 370 Activity 28 Practice 375

Embedded Assessment 1 Types of Variables and Measures of Center—Dribble, Shoot, Score! 377

Activity 29 Measures of Variability—Making the Grade 379 Lesson 29-1 Range 379 Lesson 29-2 Mean Absolute Deviation 382 Lesson 29-3 Interquartile Range (IQR) 386 Activity 29 Practice 390

Activity 30 Summarizing Numerical Data Graphically—Batter Up! 391 Lesson 30-1 Box Plots 391 Lesson 30-2 Histograms 397 Lesson 30-3 More on Histograms 401 Activity 30 Practice 405

Embedded Assessment 2 Measures of Variability and Numerical Graphs— “Take a Snapshot” Revisited 407

UNIT 7 PERSONAL FINANCIAL LITERACY Planning the Unit 409a Unit 7 Overview 409 Getting Ready 410

Activity 31 Using Financial Services—You Can Bank on It 411 Lesson 31-1 Understanding Bank Accounts 411 Lesson 31-2 Using Credit 414 Lesson 31-3 Planning for the Future 416 Activity 31 Practice 420

RESOURCES 421 Formulas 422 Learning Strategies 426 Glossary 429 Academic Vocabulary Graphic Organizers 434

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