Wednesday, June 17, 2015

California Algebra 1 Concepts, Skills, Problem Solving






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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