Algebra

, by McConnell, John W.; Brown, Susan; Usiskin, Zalman; Senk, Sharon L.; Widerski, Ted; Hackworth, Margaret; Hirschhorn, Daniel

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ISBN: 9780673459527 | 0673459527
Cover: Hardcover
Copyright: 4/1/1997

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Supplemental Materials

Acknowledgments

The University of Chicago School Mathematics Project

Table of Contents

To the Student

(3)

Uses of Variables

(66)

Variables in Sentences

(5)

Sets and Domains

(6)

Operations with Sets

(6)

Variables in Expressions

(4)

Variables in Formulas

(4)

Square Roots and Variables

(6)

Variables and Patterns

(8)

In-class Activity: Patterns with Squares and Right Triangles

(1)

The Pythagorean Theorem

(8)

In-class Activity: Variables and Tables

(1)

Variables from Tables

(17)

Projects

(2)

Summary and Vocabulary

(1)

Progress Self-Test

(2)

Chapter Review

(4)

Refresher

(1)

Multiplication in Algebra

(70)

Areas, Arrays, and Volumes

(7)

Special Numbers in Multiplication

(6)

In-class Activity: Multiplying Algebraic Fractions

(1)

Multiplying Algebraic Fractions

(6)

Multiplying Rates

(5)

Products and Powers with Negative Numbers

(6)

Solving ax = b

102

(7)

Special Numbers in Equations

109

(5)

Solving ax < b

114

(5)

The Multiplication Counting Principle

119

(6)

Factorials and Permutations

125

(15)

Projects

131

(2)

Summary and Vocabulary

133

(1)

Progress Self-Test

134

(2)

Chapter Review

136

(3)

Refresher

139

(1)

Addition in Algebra

140

(74)

Models and Properties of Addition

142

(7)

More Properties of Addition

149

(6)

The Coordinate Plane

155

(8)

Two Dimensional Slides

163

(7)

Solving ax + b = c

170

(7)

In-class Activity: Using Algebra Tiles to Add Expressions

176

(1)

The Distributive Property and Adding Like Terms

177

(6)

The Distributive Property and Removing Parentheses

183

(5)

Writing Linear Expressions

188

(7)

Adding Algebraic Fractions

195

(5)

Solving ax + b < c

200

(14)

Projects

205

(2)

Summary and Vocabulary

207

(1)

Progress Self-Test

208

(2)

Chapter Review

210

(3)

Refresher

213

(1)

Subtraction In Algebra

214

(68)

Subtraction of Real Numbers

216

(5)

Models for Subtraction

221

(6)

Solving Sentences Involving Subtraction

227

(5)

Spreadsheets

232

(8)

The Opposite of a Sum or Difference

240

(6)

Graphing x + y = k and x - y = k

246

(7)

Sums and Differences in Geometry

253

(7)

In-class Activity: The Triangle Inequality

259

(1)

The Triangle Inequality

260

(7)

Graphing Linear Patterns

267

(15)

Projects

274

(2)

Summary and Vocabulary

276

(1)

Progress Self-Test

277

(1)

Chapter Review

278

(4)

Linear Sentences

282

(66)

Horizontal and Vertical Lines

284

(7)

Using Tables to Compare Linear Expressions

291

(6)

Solving ax + b = cx + d

297

(7)

Using Graphs to Compare Linear Expressions

304

(6)

Using an Automatic Grapher

310

(7)

Solving ax + b < cx + d

317

(5)

Equivalent Formulas

322

(5)

Advanced Solving Technique I: Multiplying Through

327

(6)

Advanced Solving Technique II: Chunking

333

(15)

Projects

338

(2)

Summary and Vocabulary

340

(1)

Progress Self-Test

341

(2)

Chapter Review

343

(4)

Refresher

347

(1)

Division in Algebra

348

(68)

The Algebraic Definition of Division

350

(6)

Rates

356

(6)

Ratios

362

(8)

In-class Activity: Relative Frequencies and Probabilities

368

(2)

Relative Frequency and Probability

370

(6)

Solving Percent Problems Using Equations

376

(5)

Probability Without Counting

381

(6)

Size Changes

387

(7)

Proportions

394

(8)

In-class Activity: Similar Figures

401

(1)

Similar Figures

402

(14)

Projects

408

(2)

Summary and Vocabulary

410

(1)

Progress Self-Test

411

(1)

Chapter Review

412

(4)

Slopes and Lines

416

(68)

Rates of Change

418

(7)

The Slope of a Line

425

(7)

Properties of Slope

432

(7)

Slope-Intercept Equations for Lines

439

(6)

Equations for Lines with a Given Point and Slope

445

(5)

Equations for Lines Through Two Points

450

(8)

In-class Activity: Latitude and Temperature

456

(2)

Fitting a Line to Data

458

(5)

Equations for All Lines

463

(6)

Graphing Linear Inequalities

469

(15)

Projects

476

(2)

Summary and Vocabulary

478

(1)

Progress Self-Test

479

(1)

Chapter Review

480

(4)

Exponents and Powers

484

(62)

Compound Interest

486

(6)

Exponential Growth

492

(6)

Comparing Constant Increase and Exponential Growth

498

(7)

Exponential Decay

505

(5)

Products and Powers of Powers

510

(5)

Negative Exponents

515

(6)

Quotients of Powers

521

(6)

Powers of Products and Quotients

527

(6)

Remembering Properties of Exponents and Powers

533

(13)

Projects

539

(2)

Summary and Vocabulary

541

(1)

Progress Self-Test

542

(1)

Chapter Review

543

(3)

Quadratic Equations and Square Roots

546

(68)

Graphing y = ax2

548

(6)

Graphing y = ax2 + bx + c

554

(8)

In-class Activity: Graphing Parabolas with an Automatic Grapher

561

(1)

Graphing Parabolas with an Automatic Grapher

562

(5)

Quadratic Equations and Projectiles

567

(6)

The Quadratic Formula

573

(6)

Analyzing Solutions to Quadratic Equations

579

(7)

Square Roots and Products

586

(7)

Absolute Value, Distance, and Square Roots

593

(6)

Distances in the Plane

599

(15)

Projects

605

(2)

Summary and Vocabulary

607

(2)

Progress Self-Test

609

(1)

Chapter Review

610

(4)

Polynomials

614

(50)

What Are Polynomials?

616

(5)

Investments and Polynomials

621

(6)

Multiplying a Polynomial by a Monomial

627

(6)

Multiplying Polynomials

633

(6)

In-class Activity: Modeling Multiplication of Binomials with Tiles

638

(1)

Multiplying Binomials

639

(7)

Special Binomial Products

646

(5)

The Chi-Square Statistic

651

(13)

Projects

657

(2)

Summary and Vocabulary

659

(1)

Progress Self-Test

660

(1)

Chapter Review

661

(3)

Linear Systems

664

(54)

An Introduction to Systems

666

(6)

Solving Systems Using Substitution

672

(4)

More Uses of Substitution

676

(5)

Solving Systems by Addition

681

(6)

Solving Systems by Multiplication

687

(7)

Systems and Parallel Lines

694

(5)

Situations Which Always or Never Happen

699

(5)

Systems of Inequalities

704

(14)

Projects

711

(2)

Summary and Vocabulary

713

(1)

Progress Self-Test

714

(1)

Chapter Review

715

(3)

Factoring

718

(54)

Factoring Integers into Primes

720

(6)

Common Monomial Factoring

726

(7)

In-class Activity: Factoring Trinomials

732

(1)

Factoring x2 + bx + c

733

(5)

Solving Some Quadratic Equations by Factoring

738

(6)

Factoring ax2 + bx + c

744

(5)

How Was the Quadratic Formula Found?

749

(5)

Rational Numbers and Irrational Numbers

754

(5)

Which Quadratic Expressions Are Factorable?

759

(13)

Projects

765

(2)

Summary and Vocabulary

767

(1)

Progress Self-Test

768

(1)

Chapter Review

769

(3)

Functions

772

(52)

What Is a Function?

774

(4)

Function Notation

778

(6)

Absolute Value Functions

784

(5)

Domain and Range

789

(6)

In-class Activity: Results of Tossing Two Dice

794

(1)

Probability Functions

795

(5)

Polynomial Functions

800

(7)

In-class Activity: Ratios of Sides in Right Triangles

806

(1)

The Tangent Function

807

(5)

Functions on Calculators and Computers

812

(12)

Projects

817

(2)

Summary and Vocabulary

819

(1)

Progress Self-Test

820

(1)

Chapter Review

821

(3)

Appendix A: Scientific Calculators

824

(5)

Appendix B: Scientific Notation

829

(5)

Appendix C: BASIC

834

(4)

Selected Answers

838

(28)

Glossary

866

(8)

Index

874

(11)

List of Symbols

885

(1)

Photo Acknowledgments

886

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Algebra

Table of Contents

Supplemental Materials