Friday, June 26, 2015

California Mathematics Concpts, Skills, and Problem Solving Course 7






California Mathematics Concpts, Skills, and Problem Solving Course 7
Buku ini diteribitkan tahun 2008   oleh  The McGraw-Hill Companies, Inc, New York adalah buku  edisi  Pertama.


Judul:  California Mathematics Concpts, Skills, and Problem Solving Course 7
Oleh: Rhonda J. Molix-Bailey, et al
Penerbit:  The McGraw-Hill Companies, Inc, New York
Tahun: 2008
Jumlah Halaman:  860  hal.

Editor:

Rhonda J. Molix-Bailey
Mathematics Consultant Mathematics by Design
DeSoto, Texas
Roger Day, Ph.D.
Mathematics Department Chair
Pontiac Township High School
Pontiac, Illinois
Patricia Frey, Ed.D.
Math Coordinator at Westminster Community
Charter School
Buffalo, New York
Arthur C. Howard
Mathematics Teacher Houston Christian
High School
Houston, Texas
Deborah A. Hutchens, Ed.D.
Principal Chesapeake, Virginia
Beatrice Luchin
Mathematics Consultant League City, Texas

Lingkup Pembahasan:

Buku ini  terdiri atas 5 Bagian Utama.  Unit 1 Jumlah dan Operasi: Bilangan Rasional dan Real mencakup pembahasan  Aljabar: Integer,  Aljabar: Nomor Rasional, dan  Nomor nyata dan Teorema Pythagoras. Unit 2 Pola, Hubungan, dan aljabar Berpikir meliputi pembahasan  Proporsi & Kesamaan dan Persen. Unit 3 Geometri dan Pengukuran mencakup pembahasan Geometri & Penalaran Spasial dan Pengukuran: Luas dan Volume. Unit 4 Berpikir aljabar: Linear dan Nonlinear Fungsi meliputi  Aljabar: Persamaan Lebih & kesenjangan,  Aljabar: Fungsi Linear, dan   Aljabar: Fungsi nonlinear dan polinomial Unit 5 Statistik, Analisis Data, dan Probabilitas membahas tentang Ulasan Standar Statistik.


Daftar Isi:


Start Smart: Be a Better Problem Solver
Be a Better Problem Solver
    A Plan for Problem Solving  2
    Problem-Solving Strategies  4
    Multi-Step Problems    6
    Tools for Problem Solving  8
    Techniques for Problem Solving  10
How to Use Your Math Book
    Why do I Need my Math Book?  12
    Doing Your Homework  13
    Studying for a Test   14
    Scavenger Hunt  15
    California Data File  16

Unit 1 Number and Operations: Rational and Real Numbers
    1  Algebra: Integers

        1-1     A Plan for Problem Solving    24
        1-2     Variables, Expressions, and Properties  29
        1-3     Integers and Absolute Value   35
                  Extend 1-3 Algebra Lab: Graphing Data  40
        1-4     Adding Integers   41
        1-5     Subtracting Integers   46
                  Mid-Chapter Quiz   50
        1-6     Multiplying and Dividing Integers   51
        1-7     Writing Equations   57
        1-8     Problem-Solving Investigation: Work Backward   62
                  Reading Word Problems: Simplify the Problem   64
        1-9     Solving Addition and Subtraction Equations   65
        1-10   Solving Multiplication and Division Equations   70
        ASSESSMENT
        Study Guide and Review    74
        Practice Test    79
        California Standards Practice   80

    2  Algebra: Rational Numbers
        2-1     Rational Numbers   84
                  Reading Word Problems: New Vocabulary   90
        2-2     Comparing and Ordering Rational Numbers  91
        2-3     Multiplying Positive and Negative Fractions   96
        2-4     Dividing Positive and Negative Fractions   102
        2-5     Adding and Subtracting Like Fractions  108
                  Mid-Chapter Quiz    113
        2-6     Adding and Subtracting Unlike Fractions   114
        2-7     Solving Equations with Rational Numbers  119
        2-8     Problem-Solving Investigation: Look for a Pattern   124
        2-9     Powers and Exponents  126
        2-10   Scientific Notation  130
        ASSESSMENT
        Study Guide and Review   134
        Practice Test   139
        California Standards Practice  140

    3  Real Numbers and the Pythagorean Theorem
        3-1     Square Roots  144
        3-2     Estimating Square Roots   148
        3-3     Problem–Solving Investigation: Use a Venn Diagram   152
                  Reading Word Problems: The Language of Mathematics  154
        3-4    The Real Number System  155
                  Mid-Chapter Quiz   160
        Explore 3-5 Geometry Lab: The Pythagorean Theorem  161
        3-5     The Pythagorean Theorem   162
        3-6     Using the Pythagorean Theorem   167
                  Extend 3-6 Geometry Lab: Graphing Irrational Numbers   172
        3-7     Geometry: Distance on the Coordinate Plane  173
        ASSESSMENT
        Study Guide and Review   179
        Practice Test   183
        California Standards Practice  184

Unit 2 Patterns, Relationships, and Algebraic Thinking
    4  Proportions and Similarity

        4-1     Ratios and Rates  190
        4-2     Proportional and Nonproportional Relationships  194
        4-3     Solving Proportions   198
                  Extend 4-3 Geometry Lab: The Golden Rectangle    203
        4-4     Problem–Solving Investigation: Draw a Diagram   204
        4-5     Similar Polygons   206
                  Mid-Chapter Quiz   212
        4-6     Measurement: Converting Length, Weight/Mass, Capacity, and Time  213
                  Extend 4-6 Spreadsheet Lab: Converting Measures  219
        4-7     Measurement: Converting Square Units and  Cubic Units   220
        4-8     Scale Drawings and Models    224
        4-9     Rate of Change   230
        4-10   Constant Rate of Change  236
        ASSESSMENT
        Study Guide and Review   242
        Practice Test   247
        California Standards Practice   248

    5  Percent
        5-1     Ratios and Percents   252
        5-2     Comparing Fractions, Decimals, and Percents   256
                  Reading Word Problems: Comparing Data   262
        5-3     Algebra: The Percent Proportion   263
        5-4     Finding Percents Mentally    268
        5-5     Problem-Solving Investigation: Reasonable Answers   272
                  Mid-Chapter Quiz   274
        5-6     Percent and Estimation  275
        5-7     Algebra: The Percent Equation  279
        5-8     Percent of Change  284
        5-9     Simple Interest   290
                   Extend 5-9 Spreadsheet Lab:  Compound Interest  294
        ASSESSMENT
        Study Guide and Review  295
        Practice Test    299
        California Standards Practice  300

Unit 3 Geometry and Measurement
    6  Geometry and Spatial Reasoning

        6-1     Line and Angle Relationships   306
                  Extend 6-1 Geometry Lab: Constructions 311
        6-2     Problem-Solving Investigation: Use Logical Reasoning   314
        6-3     Polygons and Angles  316
        6-4     Congruent Polygons  320
                  Extend 6-4 Geometry Lab: Investigating Congruent Triangles  324
                  Mid-Chapter Quiz  326
        6-5     Symmetry  327
        6-6     Reflections  332
        6-7     Translations 337
        ASSESSMENT
        Study Guide and Review  342
        Practice Test   347
        California Standards Practice  348

    7  Measurement: Area and Volume
        7-1    Circumference and Area of Circles  352
                  Extend 7-1 Geometry Lab: Investigating Arcs and Angles   358
        7-2     Problem-Solving Investigation: Solve a Simpler Problem   360
        Explore 7-3 Measurement Lab: Area of Irregular Figures   362
        7-3     Area of Complex Figures   363
        7-4     Three-Dimensional Figures    368
        7-5     Volume of Prisms and Cylinders   373
                  Mid-Chapter Quiz   379
        7-6     Volume of Pyramids and Cones   380
        Explore 7-7 Measurement Lab: Surface Area of Cylinders    385
        7-7     Surface Area of Prisms and Cylinders   386
                  Extend 7-7 Measurement Lab: Net of a Cone   392
        7-8     Surface Area of Pyramids   393
        Explore 7-9 Spreadsheet Lab: Similar Solids   397
        7-9     Similar Solids  399
        ASSESSMENT
        Study Guide and Review   405
        Practice Test    409
        California Standards Practice  410

Unit 4 Algebraic Thinking: Linear and Nonlinear Functions
    8  Algebra: More Equations and Inequalities

        8-1     Simplifying Algebraic Expressions   416
        8-2     Solving Two-Step Equations   422
        8-3     Writing Two-Step Equations   427
        Explore 8-4 Algebra Lab: Equations with Variables on Each Side  432
        8-4     Solving Equations with Variables on Each Side   434
        8-5     Problem-Solving Investigation: Guess and Check   438
                  Mid-Chapter Quiz  440
        8-6     Inequalities   441
        8-7     Solving Inequalities by Adding or Subtracting    445
        8-8     Solving Inequalities by Multiplying or Dividing    449
        ASSESSMENT
        Study Guide and Review   454
        Practice Test   459
        California Standards Practice  460

    9  Algebra: Linear Functions
        Explore 9-1 Algebra Lab: Functions  464
        9-1     Functions  465
        Explore 9-2 Algebra Lab: Graphing Relationships  470
        9-2     Representing Linear Functions  471
        9-3     Slope  477
        9-4     Direct Variation  483
                  Mid-Chapter Quiz   489
        Explore 9-5 Algebra Lab: Proportional and Nonproportional Functions  490
        9-5     Slope-Intercept Form   491
                  Extend 9-5 Graphing Calculator Lab: Modeling Linear Behavior  496
        9-6     Writing Systems of Equations and Inequalities  498
        9-7     Problem-Solving Investigation: Use a Graph   502
        9-8     Scatter Plots  504
                  Extend 9-8 Graphing Calculator Lab: Scatter Plots  510
   
        ASSESSMENT
        Study Guide and Review   512
        Practice Test    517
        California Standards Practice  518
   
 10   Algebra: Nonlinear Functions and Polynomials
        10-1     Linear and Nonlinear Functions  522
        10-2     Graphing Quadratic Functions   528
        10-3     Problem-Solving Investigation: Make a Model  532
        10-4     Graphing Cubic Functions  534
                    Extend 10-4 Graphing Calculator Lab: Families of Nonlinear Functions  538
        10-5     Multiplying Monomials   539
                     Mid-Chapter Quiz   543
        10-6     Dividing Monomials   544
        10-7     Powers of Monomials  549
        10-8     Roots of Monomials  553
        ASSESSMENT
        Study Guide and Review   557
        Practice Test    561
        California Standards Practice   562

Unit 5 Statistics, Data Analysis, and Probability 
11    Statistics
        11-1     Problem-Solving Investigation: Make a Table   568
        11-2     Histograms   570
                    Extend 11-2 Graphing Calculator Lab: Histograms  575
        11-3     Circle Graphs  576
                    Extend 11-3 Spreadsheet Lab: Line, Bar, and Circle Graphs  583
        11-4     Measures of Central Tendency and Range   585
                    Extend 11-4 Spreadsheet Lab: Mean, Median, and Mode   591
                    Mid-Chapter Quiz   592
        11-5     Measures of Variation   593
        11-6     Box-and-Whisker Plots   599
                    Extend 11-6 Graphing Calculator Lab: Box-and-Whisker Plots  605
        11-7     Stem-and-Leaf Plots   606
        11-8     Select an Appropriate Display  611
        ASSESSMENT
        Study Guide and Review   616
        Practice Test   621
        California Standards Practice   622
        California Standards Review
        Tips for Success   CA1
        Multiple-Choice Questions  CA2
        Practice by Standard  CA4
        Standards Review

12    Looking Ahead to Grade 8: Probability
        12-1     Counting Outcomes   626
        12-2     Probability of Compound Events  631
        12-3     Experimental and Theoretical Probability   637
                    Extend 12-3 Probability Lab: Fair Games  642
        12-4     Problem-Solving Investigation:
                    Act it Out    644
                    Mid-Chapter Quiz    646
        12-5     Using Sampling to Predict   647
        ASSESSMENT
        Study Guide and Review   653
        Practice Test    657
            California Standards Practice  658

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