California Algebra 2 Concepts, Skills, and Problem Solving Interactive Student Edition

California Algebra 2 Concepts, Skills, and Problem Solving Interactive Student Edition
Buku ini diterbitkan pertama kali tahun 2008  oleh McGraw-Hill Companies.


Judul:  California Algebra 2 Concepts, Skills, and Problem Solving Interactive Student Edition
Oleh: Berchie Holliday, Ed.D. et al
Penerbit: McGraw-Hill Companies
Tahun: 2008
Jumlah Halaman: 1133 hal.


Penulis:

Berchie Holliday, Ed.D.
National Mathematics
Consultant, Silver Spring, MD
John A. Carter, Ph.D.
Director of Mathematics Adlai E. Stevenson High School
Lincolnshire, IL
Gilbert J. Cuevas, Ph.D.
Professor of Mathematics Education
University of Miami. Miami, FL
Daniel Marks, Ed.D
Professor Emeritus of Mathematics
Auburn University at Montgomery
Mongomery, AL
Beatrice Luchin
Mathematics Consultant League City, TX
Roger Day, Ph.D.
Mathematics Department Chairperson
Pontiac Township High School Pontiac, IL

Lingkup Pembahasan:
Buku ini terdiri atas 5 Unit. Setiap unit terdiri atas beberapa pokok bahasan. Dan pada setiap pokok bahasan dilengkapi dengan Quiz, Assessment, Study Guide and Review, dan Practice Tes. Unit 1 mengemukakan masalah Pertama-Gelar Persamaan dan kesenjangan, meliputipokok Bahasan: 
1) Persamaan dan kesenjangan,  2)  Hubungan Linear dan Fungsi, 3)  Sistem Persamaan dan kesenjangan, dan 4) Matriks.  Unit 2 mengemukakan tentang Kuadrat, polinomial, dan Persamaan Radikal dan Ketimpangan. Unit ini mencakup pokok bahasan  5) Fungsi kuadrat dan Ketimpangan,
6) Fungsi Polinomial, dan 7) Radikal Persamaan dan pertidaksamaan.  Unit 3 Advanced Fungsi dan Hubungan. Mencakup  8) Pernyataan Rasional dan Persamaan, 9) Hubungan eksponensial dan Logaritma,  dan 10 Bagian Conic.   Unit 4 Matematika Diskrit mencakup  11) Urutan dan Seri  dan
12) Probabilitas dan Statistik.  Unit 5 Trigonometri meliputi 13) Fungsi trigonometri dan 14) Grafik trigonometri dan Identitas.

Daftar Isi Buku:

Unit   1  First-Degree Equations and Inequalities

          1  Equations and Inequalities

              1-1 Expressions and Formulas   6

              1-2 Properties of Real Numbers  11

              1-3 Solving Equations  18

              1-4 Solving Absolute Value Equations   27

                      Mid-Chapter Quiz   32

              1-5 Solving Inequalities  33

                      Reading Math: Interval Notation  40

              1-6 Solving Compound and Absolute Value Inequalities  41

              ASSESSMENT

              Study Guide and Review   49

              Practice Test  53

              California Standards Practice  54

          2  Linear Relations and Functions

              2-1 Relations and Functions  58

                      Reading Math: Discrete and Continuous Functions in the  Real World  65

              2-2 Linear Equations  66

              2-3 Slope   71

                      Extend 2-3 Graphing Calculator Lab: The Family of Linear  78

              2-4 Writing Linear Equations  79

                      Mid-Chapter Quiz  85

              2-5 Statistics: Using Scatter Plots   86

                      Extend 2-5 Graphing Calculator Lab: Lines of Regression  92

              2-6 Special Functions   95

              2-7 Graphing Inequalities  102

              ASSESSMENT

              Study Guide and Review   106

              Practice Test  111

              California Standards Practice   112

          3 Systems of Equations and Inequalities

              3-1 Solving Systems of Equations by Graphing   116

              3-2 Solving Systems of Equations Algebraically   123

              3-3 Solving Systems of Inequalities by Graphing   130

                      Extend 3-3 Graphing Calculator Lab: Systems of Linear Inequalities  136

                      Mid-Chapter Quiz  137

              3-4 Linear Programming   138

              3-5 Solving Systems of Equations in Three Variables  145

              ASSESSMENT

              Study Guide and Review  153

              Practice Test  157

              California Standards Practice  158

          4 Matrices

              4-1 Introduction to Matrices  162

                      Extend 4-1 Spreadsheet Lab: Organizing Data  168

              4-2 Operations with Matrices  169

              4-3 Multiplying Matrices  177

              4-4 Transformations with Matrices   185

                      Mid-Chapter Quiz   193

              4-5 Determinants  194

              4-6 Cramer’s Rule  201

              4-7 Identity and Inverse Matrices   208

              4-8 Using Matrices to Solve Systems of Equations   216

                      Extend 4-8 Graphing Calculator Lab: Augmented Matrices  223

              ASSESSMENT

              Study Guide and Review   224

              Practice Test   229

              California Standards Practice   230

Unit   2 Quadratic, Polynomial, and Radical Equations and Inequalities

          5 Quadratic Functions and Inequalities

              5-1 Graphing Quadratic Functions  236

                      Reading Math: Roots of Equations and Zeros of Functions  245

              5-2 Solving Quadratic Equations by Graphing   246

                      Extend 5-2 Graphing Calculator Lab: Modeling Using Quadratic Functions  252

              5-3 Solving Quadratic Equations by Factoring   253

              5-4 Complex Numbers  259

                      Mid-Chapter Quiz  267

              5-5 Completing the Square  268

              5-6 The Quadratic Formula and the Discriminant  276

                      Explore 5-7 Graphing Calculator Lab: Families of Parabolas  284

              5-7 Analyzing Graphs of Quadratic Functions  286

                      Extend 5-7 Graphing Calculator Lab: Modeling Motion   293

              5-8 Graphing and Solving Quadratic Inequalities  294

              ASSESSMENT

              Study Guide and Review  302

              Practice Test  307

              California Standards Practice  308

          6 Polynomial Functions

              6-1 Properties of Exponents   312

                      Reading Math: Dimensional Analysis  319

              6-2 Operations with Polynomials  320

              6-3 Dividing Polynomials   325

              6-4 Polynomial Functions  331

              6-5 Analyzing Graphs of Polynomial Functions 339

                      Extend 6-5 Graphing Calculator Lab: Modeling Data using Polynomial Functions  346

                      Mid-Chapter Quiz   348

              6-6 Solving Polynomial Equations 349

              6-7 The Remainder and Factor Theorems  356

              6-8 Roots and Zeros   362

              6-9 Rational Zero Theorem  369

                      ASSESSMENT

                      Study Guide and Review  374

                      Practice Test  379

                      California Standards Practice  380

          7 Radical Equations and Inequalities

              7-1 Operations on Functions   384

              7-2 Inverse Functions and Relations  391

              7-3 Square Root Functions & Inequalities  397

              7-4 nth Roots   402

                      Mid-Chapter Quiz  407

              7-5 Operations with Radical Expressions 408

              7-6 Rational Exponents  415

              7-7 Solving Radical Equations and Inequalities   422

                      Extend 7-7 Graphing Calculator Lab: Solving Radical Equations and Inequalities  428

              ASSESSMENT

              Study Guide and Review  430

              Practice Test   435

              California Standards Practice  436

Unit   3 Advanced Functions and Relations

          8 Rational Expressions and Equations

              8-1 Multiplying and Dividing Rational Expressions  442

              8-2 Adding and Subtracting Rational Expressions   450

              8-3 Graphing Rational Functions   457

                      Extend 8-3 Graphing Calculator Lab: Analyze Graphs of Rational Functions  464

              8-4 Direct, Joint, and Inverse Variation 465

                      Mid-Chapter Quiz   472

              8-5 Classes of Functions 473

              8-6 Solving Rational Equations and Inequalities  479

          Extend 8-6 Graphing Calculator Lab: Solving Rational Equations and Inequalities with Graphs and Tables 487

              ASSESSMENT

              Study Guide and Review  489

              Practice Test  493

              California Standards Practice  494

          9 Exponential and Logarithmic Relations

              9-1 Exponential Functions  498

                      Extend 9-1 Graphing Calculator Lab: Solving Exponential Equations and Inequalities   507

              9-2 Logarithms and Logarithmic Functions   509

                      Extend 9-2 Graphing Calculator Lab: Modeling Data using Exponential Functions  518

              9-3 Properties of Logarithms  520

                      Mid-Chapter Quiz  527

              9-4 Common Logarithms  528

                      Extend 9-4 Graphing Calculator Lab: Solving Logarithmic Equations and Inequalities  534

              9-5 Base e and Natural Logarithms  536

                      Reading Math: Double Meanings  543

              9-6 Exponential Growth and Decay  544

                      Extend 9-6 Graphing Calculator Lab: Cooling  551

              ASSESSMENT

              Study Guide and Review  552

              Chapter Test   557

              California Standards Practice   558

          10   Conic Sections

                  10-1 Midpoint and Distance Formulas  562

                  10-2 Parabolas 567

                  10-3 Circles   574

                          Explore 10-4 Algebra Lab: Investigating Ellipses  580

                  10-4 Ellipses   581

                          Mid-Chapter Quiz   589

                  10-5 Hyperbolas   590

                  10-6 Conic Sections   598

                  10-7 Solving Quadratic Systems   603

                  ASSESSMENT

                  Study Guide and Review  609

                  Chapter Test  615

                  California Standards Practice   616

Unit   4 Discrete Mathematics

          11   Sequences and Series

                  11-1     Arithmetic Sequences  622

                  11-2     Arithmetic Series  629

                  11-3     Geometric Sequences  636

                                Extend 11-3 Graphing Calculator Lab: Limits  642

                  11-4     Geometric Series   643

                  11-5     Infinite Geometric Series  650

                                Mid-Chapter Quiz   656

                                Explore 11-6 Spreadsheet Lab: Amortizing Loans   657

                  11-6     Recursion and Special Sequences   658

                                Extend 11-6 Algebra Lab: Fractals   663

                  11-7     The Binomial Theorem   664

                  11-8     Proof and Mathematical Induction  670

                  ASSESSMENT

                  Study Guide and Review  674

                  Chapter Test   679

                  California Standards Practice  680

          12   Probability and Statistics

                  12-1     The Counting Principle  684

                  12-2     Permutations and Combinations  690

                                Reading Math: Permutations and Combinations  696

                  12-3     Probability   697

                  12-4     Multiplying Probabilities  703

                  12-5     Adding Probabilities 710

                                Mid-Chapter Quiz  716

                  12-6     Statistical Measures  717

                  12-7     The Normal Distribution   724

                  12-8     Exponential and Binomial Distribution   729

                                Extend 12-8 Algebra Lab: Simulations 734

                  12-9     Binomial Experiments  735

                                Explore 12-10 Algebra Lab: Testing Hypotheses 740

                  12-10   Sampling and Error  741

                  ASSESSMENT

                  Study Guide and Review  745

                  Chapter Test  751

                  California Standards Practice 752

Unit   5 Trigonometry

          13   Trigonometric Functions

                  Explore 13-1 Spreadsheet Lab: Special Right Triangles  758

                  13-1     Right Triangle Trigonometry  759

                  13-2     Angles and Angle Measure  768

                                Extend 13-2 Algebra Lab: Investigating Regular Polygons Using Trigonometry  775

                  13-3     Trigonometric Functions of General Angles  776

                                Mid-Chapter Quiz  784

                  13-4     Law of Sines  785

                  13-5     Law of Cosines   793

                  13-6     Circular Functions  799

                  13-7     Inverse Trigonometric Functions  806

                  ASSESSMENT

                  Study Guide and Review  812

                  Chapter Test  817

                  California Standards Practice  818

          14   Trigonometric Graphs and Identities

                  14-1     Graphing Trigonometric Functions  822

                  14-2     Translations of Trigonometric Graphs  829

                  14-3     Trigonometric Identities   837

                  14-4     Verifying Trigonometric Identities   842

                                Mid-Chapter Quiz   847

                  14-5     Sum and Difference of Angles Formulas   848

                  14-6     Double-Angle and Half-Angle Formulas  853

                                Explore 14-7 Graphing Calculator Lab: Solving Trigonometric Equations  860

                  14-7     Solving Trigonometric Equations  861

                  ASSESSMENT

                  Study Guide and Review  867

                  Practice Test  871

                  California Standards Practice  872

California Standards Review CA1

Student Handbook

Built-In Workbooks

Prerequisite Skills  876

Extra Practice  891

Mixed Problem Solving 926

Extension Lesson 940

Reference

English-Spanish Glossary  R2

Selected Answers  R28

Photo Credits  R103

Index   R104

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