California Algebra 1 Concepts, Skills, Problem Solving
Buku ini diterbitkan tahun 2008 Routledge, New York adalah buku edisi Pertama.
Judul: California Algebra 1 Concepts, Skills, Problem Solving
Oleh: Berchie Holliday, Ed.D., et al
Penerbit: The McGraw-Hill Companies, Inc. USA
Tahun: 2008
Jumlah Halaman: 897 hal.
Penulis:
Berchie Holliday, Ed.D.
National Mathematics Consultant
Silver Spring, MD
Gilbert J. Cuevas, Ph.D.
Professor of Mathematics Education
University of Miami
Miami, FL
Beatrice Luchin
Mathematics Consultant
League City, TX
John A. Carter, Ph.D.
Director of Mathematics, Adlai E. Stevenson High School
Lincolnshire, IL
Daniel Marks, Ed.D.
Professor Emeritus of Mathematics
Auburn University at Montgomery
Montgomery, AL
Roger Day, Ph.D.
Mathematics Department Chairperson
Pontiac Township High School
Pontiac, IL
Ruth M. Casey
Mathematics Teacher Department Chair
Anderson County High School
Lawrenceburg, KY
Linda M. Hayek
Mathematics Teacher
Ralston Public Schools
Omaha, NE
Lingkup Pembahasan:
Buku ini terdiri atas 4 Bagian Utama. Unit 1 Dasar untuk Fungsi, mencakup pembahasan 1 Bahasa dan Alat Aljabar dan 2 Memecahkan Persamaan Linear. Unit 2 Fungsi Linear, meliputi pembahasan 3 Fungsi dan Pola, 4 Menganalisis Persamaan Linear, 5 Pemecahan Sistem Persamaan Linear, dan 6 Memecahkan Ketimpangan Linear. Unit 3 Polinomial dan Fungsi Nonlinier, membahas 7 polinomial, 8 Anjak, dan 9 Fungsi kuadrat dan eksponensial. Unit 4 Lanjutan Ekspresi dan Analisis Data mencakup pembahasan 10 Ekspresi radikal dan Segitiga, 11 Ekspresi Rasional dan Persamaan, dan 12 Statistik dan Probabilitas.
Daftar Isi:
Unit 1 Foundations for Functions
Chapter 1 The Language and Tools of Algebra
1-1 Variables and Expressions 6
1-2 Order of Operations 10
1-3 Open Sentences 15
1-4 Identity and Equality Properties 21
1-5 The Distributive Property 26
Mid-Chapter Quiz 32
1-6 Commutative and Associative Properties 33
Reading Math: Arguments with Properties of Real Numbers 38
1-7 Logical Reasoning and Counterexamples 39
Extend 1-7 Algebra Lab: Logic and Properties of Numbers 45
1-8 Number Systems 46
1-9 Functions and Graphs 53
Extend 1-9 Algebra Lab: Investigating Real-World Functions 59
ASSESSMENT
Study Guide and Review 60
Practice Test 65
California Standards Practice 66
Chapter 2 Solving Linear Equations
2-1 Writing Equations 70
Explore 2-2 Algebra Lab: Solving Addition and Subtraction Equations 77
2-2 Solving Equations by Using Addition and Subtraction 78
2-3 Solving Equations by Using Multiplication and Division 85
Explore 2-4 Algebra Lab: Solving Multi-Step Equations 91
2-4 Solving Multi-Step Equations 92
2-5 Solving Equations with the Variable on Each Side 98
Mid-Chapter Quiz 104
2-6 Ratios and Proportions 105
2-7 Percent of Change 111
Reading Math: Sentence Method and Proportion Method 116
2-8 Solving for a Specific Variable 117
2-9 Weighted Averages 122
Extend 2-9 Spreadsheet Lab: Weighted Averages 129
ASSESSMENT
Study Guide and Review 130
Practice Test 135
California Standards Practice 136
Unit 2 Linear Functions
Chapter 3 Functions and Patterns
Explore 3-1 Algebra Lab: Modeling Relations 142
3-1 Representing Relations 143
3-2 Representing Functions 149
3-3 Linear Functions 155
Extend 3-3 Graphing Calculator Lab: Graphing Linear Functions 162
Mid-Chapter Quiz 164
3-4 Arithmetic Sequences 165
Reading Math: Reasoning Skills 171
3-5 Proportional and Nonproportional Relationships 172
ASSESSMENT
Study Guide and Review 177
Practice Test 181
California Standards Practice 182
Chapter 4 Analyzing Linear Equations
Explore 4-1 Algebra Lab: Steepness of a line 186
4-1 Rate of Change and Slope 187
4-2 Slope and Direct Variation 196
Explore 4-3 Graphing Calculator Lab: Investigating Slope-Intercept Form 203
4-3 Graphing Equations in Slope-Intercept Form 204
Extend 4-3 Graphing Calculator Lab: The Family of Linear Graphs 210
Mid-Chapter Quiz 212
4-4 Writing Equations in Slope-Intercept Form 213
4-5 Writing Equations in Point-Slope Form 219
Reading Math: Understanding the Questions 226
4-6 Statistics: Scatter Plots and Lines of Fit 227
Extend 4-6 Graphing Calculator Lab: Regression and Median-Fit Lines 234
4-7 Geometry: Parallel and Perpendicular Lines 236
ASSESSMENT
Study Guide and Review 240
Practice Test 245
California Standards Practice 246
Chapter 5 Solving Systems of Linear Equations
Explore 5-1 Spreadsheet Lab: Systems of Equations 252
5-1 Graphing Systems of Equations 253
Extend 5-1 Graphing Calculator Lab: Systems of Equations 259
5-2 Substitution 260
5-3 Elimination Using Addition and Subtraction .266
Mid-Chapter Quiz 271
5-4 Elimination Using Multiplication 272
Reading Math: Making Concept Maps 279
5-5 Applying Systems of Linear Equations 280
ASSESSMENT
Study Guide and Review 285
Practice Test 289
California Standards Practice 290
Chapter 6 Solving Linear Inequalities
6-1 Solving Inequalities by Addition and Subtraction 294
Explore 6-2 Algebra Lab: Solving Inequalities 300
6-2 Solving Inequalities by Multiplication and Division 301
6-3 Solving Multi-Step Inequalities 308
Reading Math: Compound Statements 314
6-4 Solving Compound Inequalities 315
Mid-Chapter Quiz 321
6-5 Solving Open Sentences Involving Absolute Value 322
Extend 6-5 Graphing Calculator Lab: Graphing Absolute Value Functions 328
6-6 Solving Inequalities Involving Absolute Value 329
6-7 Graphing Inequalities in Two Variables 334
Extend 6-7 Graphing Calculator Lab: Graphing Inequalities 340
6-8 Graphing Systems of Inequalities 341
ASSESSMENT
Study Guide and Review 346
Practice Test 351
California Standards Practice 352
Unit 3 Polynomials and Nonlinear Functions
Chapter 7 Polynomials
7-1 Multiplying Monomials 358
Extend 7-1 Algebra Lab: Investigating Surface Areas and Volumes 365
7-2 Dividing Monomials 366
Reading Math: Mathematical Prefixes and Everyday Prefixes 374
Explore 7-3 Algebra Lab: Polynomials 375
7-3 Polynomials 376
Explore 7-4 Algebra Lab: Adding and Subtracting Polynomials 382
7-4 Adding and Subtracting Polynomials 384
Mid-Chapter Quiz 389
7-5 Multiplying a Polynomial by a Monomial 390
Explore 7-6 Algebra Lab: Multiplying Polynomials 396
7-6 Multiplying Polynomials 398
7-7 Special Products 404
ASSESSMENT
Study Guide and Review 410
Practice Test 415
California Standards Practice 416
Chapter 8 Factoring
8-1 Monomials and Factoring 420
Explore 8-2 Algebra Lab: Factoring Using the Distributive Property 425
8-2 Factoring Using the Distributive Property 426
Explore 8-3 Algebra Lab: Factoring Trinomials 432
8-3 Factoring Trinomials: x 2 + bx + c 434
Mid-Chapter Quiz 440
8-4 Factoring Trinomials: a x 2 + bx + c 441
8-5 Factoring Differences of Squares 447
Reading Math: Proofs 453
8-6 Perfect Squares and Factoring 454
ASSESSMENT
Study Guide and Review 461
Practice Test 465
California Standards Practice 466
Chapter 9 Quadratic and Exponential Functions
Explore 9-1 Graphing Calculator Lab: Exploring Graphs of Quadratic Functions 470
9-1 Graphing Quadratic Functions 471
Extend 9-1 Graphing Calculator Lab: The Family of Quadratic Graphs 478
9-2 Solving Quadratic Equations by Graphing 480
9-3 Solving Quadratic Equations by Completing the Square 486
Mid-Chapter Quiz 492
9-4 Solving Quadratic Equations by Using the Quadratic Formula 493
Extend 9-4 Algebra Lab: Applying Quadratic Equations 500
9-5 Exponential Functions 502
Explore 9-6 Algebra Lab: Investigating Exponential Functions 509
9-6 Growth and Decay 510
Extend 9-6 Graphing Calculator Lab: Curve Fitting 515
ASSESSMENT
Study Guide and Review 517
Practice Test 521
California Standards Practice 522
Unit 4 Advanced Expressions and Data Analysis
Chapter 10 Radical Expressions and Triangles
10-1 Simplifying Radical Expressions 528
Extend 10-1 Graphing Calculator Lab: Fractional Exponents 535
10-2 Operations with Radical Expressions 536
10-3 Radical Equations 541
Extend 10-3 Graphing Calculator Lab: Graphs of Radical Equations 547
Mid-Chapter Quiz 548
10-4 The Pythagorean Theorem .549
10-5 The Distance Formula 555
10-6 Similar Triangles 560
Reading Math: The Language of Mathematics 566
ASSESSMENT
Study Guide and Review 567
Practice Test 571
California Standards Practice 572
Chapter 11 Rational Expressions and Equations
Explore 11-1 Graphing Calculator Lab: Inverse Variation 576
11-1 Inverse Variation 577
11-2 Rational Expressions .583
Extend 11-2 Graphing Calculator Lab: Rational Expressions 589
11-3 Multiply Rational Expressions 590
11-4 Dividing Rational Expressions 595
Reading Math: Position of Symbols 600
11-5 Dividing Polynomials 601
Mid-Chapter Quiz 607
11-6 Rational Expressions with Like Denominators 608
11-7 Rational Expressions with Unlike Denominators 614
11-8 Mixed Expressions and Complex Fractions 620
11-9 Rational Equations and Functions 626
ASSESSMENT
Study Guide and Review 633
Practice Test 637
California Standards Practice 638
Chapter 12 Statistics and Probability
12-1 Sampling and Bias 642
Reading Math: Survey Questions 649
12-2 Counting Outcomes 651
12-3 Permutations and Combinations 655
12-4 Probability of Compound Events 663
Mid-Chapter Quiz 671
12-5 Probability Distributions 672
12-6 Probability Simulations 677
ASSESSMENT
Study Guide and Review 684
Practice Test 689
California Standards Practice 690
California Standards Review CA1
Student Handbook
Built-In Workbooks
Prerequisite Skills 694
Extra Practice 717
Mixed Problem Solving 744
Reference
English-Spanish Glossary R2
Selected Answers R20
Photo Credits R61
Index R63
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