viii

Chapter 1 Numerical Expressions and Factors

Chapter 2 Fractions and Decimals

Chapter 3 Ratios and Rates

Chapter 4 Percents

Chapter 5 Algebraic Expressions and Properties

Chapter 6 Equations

Chapter 7 Area, Surface Area, and Volume

Chapter 8 Integers, Number Lines, and the Coordinate Plane

Chapter 9 Statistical Measures

Chapter 10 Data Displays

Big Ideas Math

The Big Ideas Math: Modeling Real Life Advanced Pathway allows students to complete all the middle school content in two years and reach Algebra 1 in eighth grade.

ms2019_gr6adv_te_FM.indd viiims2019_gr6adv_te_FM.indd viii 4/23/18 3:41 PM4/23/18 3:41 PM

ix

Chapter A Adding and Subtracting Rational Numbers

Chapter B Multiplying and Dividing Rational Numbers

Chapter C Expressions

Chapter D Ratios and Proportions

Chapter E Percents

Grade 6 Advanced

Students using the Advanced Pathway still develop procedural fl uency, conceptual understanding, and application through focus, coherence, and rigor, but at a pace to reach advanced mathematics in high school.

ms2019_gr6adv_te_FM.indd ixms2019_gr6adv_te_FM.indd ix 4/23/18 3:41 PM4/23/18 3:41 PM

x

Adding and Subtracting Adding and Subtracting Rational NumbersRational Numbers

STEAM Video/Performance Task ....501 Getting Ready for Chapter A ..........502

■ Section A.1 Rational Numbers Exploration ...........................................503 Lesson ...................................................504

■ Section A.2 Adding Integers Exploration ...........................................509 Lesson ...................................................510

■ Section A.3 Adding Rational Numbers Exploration ...........................................517 Lesson ...................................................518

■ Section A.4 Subtracting Integers Exploration ...........................................523 Lesson ...................................................524

■ Section A.5 Subtracting Rational Numbers Exploration ...........................................529 Lesson ...................................................530

Connecting Concepts ........................537

Chapter Review .................................538

Practice Test ........................................542

Cumulative Practice ..........................543

ms2019_gr6adv_te_FM.indd xms2019_gr6adv_te_FM.indd x 4/23/18 3:41 PM4/23/18 3:41 PM

xi

Multiplying and Dividing Multiplying and Dividing Rational NumbersRational Numbers STEAM Video/Performance Task ....547 Getting Ready for Chapter B ..........548

■ Section B.1 Multiplying Integers Exploration ...........................................549 Lesson ...................................................550

■ Section B.2 Dividing Integers Exploration ...........................................555 Lesson ...................................................556

■ Section B.3 Converting Between Fractions and Decimals

Exploration ...........................................561 Lesson ...................................................562

■ Section B.4 Multiplying Rational Numbers Exploration ...........................................567 Lesson ...................................................568

■ Section B.5 Dividing Rational Numbers Exploration ...........................................573 Lesson ...................................................574

Connecting Concepts ........................579

Chapter Review .................................580

Practice Test ........................................584

Cumulative Practice ..........................585

ms2019_gr6adv_te_FM.indd xims2019_gr6adv_te_FM.indd xi 4/23/18 3:41 PM4/23/18 3:41 PM

xii

STEAM Video/Performance Task ....589 Getting Ready for Chapter C ..........590

■ Section C.1 Algebraic Expressions Exploration ...........................................591 Lesson ...................................................592

■ Section C.2 Adding and Subtracting Linear Expressions

Exploration ...........................................597 Lesson ...................................................598

■ Section C.3 The Distributive Property Exploration ...........................................603 Lesson ...................................................604

■ Section C.4 Factoring Expressions Exploration ...........................................609 Lesson ...................................................610

Connecting Concepts ........................615

Chapter Review .................................616

Practice Test ........................................620

Cumulative Practice ..........................621

ExpressionsExpressions

S

ms2019_gr6adv_te_FM.indd xiims2019_gr6adv_te_FM.indd xii 4/23/18 3:41 PM4/23/18 3:41 PM

xiii

Ratios and ProportionsRatios and Proportions

STEAM Video/Performance Task ....625 Getting Ready for Chapter D ..........626

■ Section D.1 Ratios and Ratio Tables Exploration ...........................................627 Lesson ...................................................628

■ Section D.2 Rates and Unit Rates Exploration ...........................................633 Lesson ...................................................634

■ Section D.3 Identifying Proportional Relationships

Exploration ...........................................639 Lesson ...................................................640

■ Section D.4 Writing and Solving Proportions Exploration ...........................................647 Lesson ...................................................648

■ Section D.5 Graphs of Proportional Relationships

Exploration ...........................................655 Lesson ...................................................656

■ Section D.6 Scale Drawings Exploration ...........................................661 Lesson ...................................................662

Connecting Concepts ........................667

Chapter Review .................................668

Practice Test ........................................672

Cumulative Practice ..........................673

ms2019_gr6adv_te_FM.indd xiiims2019_gr6adv_te_FM.indd xiii 4/23/18 3:41 PM4/23/18 3:41 PM

xiv

STEAM Video/Performance Task ....677 Getting Ready for Chapter E ...........678

■ Section E.1 Fractions, Decimals, and Percents Exploration ...........................................679 Lesson ...................................................680

■ Section E.2 The Percent Proportion Exploration ...........................................685 Lesson ...................................................686

■ Section E.3 The Percent Equation Exploration ...........................................691 Lesson ...................................................692

■ Section E.4 Percents of Increase and Decrease Exploration ...........................................697 Lesson ...................................................698

■ Section E.5 Discounts and Markups Exploration ...........................................703 Lesson ...................................................704

■ Section E.6 Simple Interest Exploration ...........................................709 Lesson ...................................................710

Connecting Concepts ........................715

Chapter Review .................................716

Practice Test ........................................720

Cumulative Practice ..........................721

PercentsPercents

■ S

L

■ Section E.4 PPPP E L

■ Section E.5 D E LL

■■ Section E.6 SS E L

CC C PP C

ms2019_gr6adv_te_FM.indd xivms2019_gr6adv_te_FM.indd xiv 4/23/18 3:41 PM4/23/18 3:41 PM

xv

Additional Answers ...........................A1

English-Spanish Glossary ..................A7

Index ...................................................A17

Mathematics Reference Sheet ......... B1

ms2019_gr6adv_te_FM.indd xvms2019_gr6adv_te_FM.indd xv 4/23/18 3:41 PM4/23/18 3:41 PM