Wednesday, June 10, 2015

California Mathematics Concepts, Skills, and Problem Solving Grade 6


California Mathematics Concepts, Skills, and Problem Solving Grade 6
Buku ini diterbitkan tahun 1997 Cambridge University Press adalah buku  Edisi Pertama.


Judul: California Mathematics Concepts, Skills, and Problem Solving Grade 6
Oleh: Nancy Eisenberg, et al   
Penerbit:  The McGraw-Hill Companies, Inc.
Tahun:  2008
Jumlah Halaman:  848  hal.


Author:
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 ALJABAR DAN FUNGSI  yang meliputi pembahasan
1) Pengantar Aljabar dan Fungsi, 2)  Integer, dan 3) Aljabar: Persamaan dan Fungsi Linear.
UNIT 2 NUMBER AENSE: PECAHAN mencakup pembahasan 4) Pecahan, Desimal, dan Persen dan 5) Menerapkan Pecahan. UNIT 3 ALJABAR DAN NUMBER SENCE: PROPORSI DAN PERSEN meliputi pembahasan 6)  Rasio dan Proporsi  dan 7) Menerapkan Persen. UNIT 4 DTTISTIK, ANALISI DATA dan PROBABILITAS mencakup pembahasan  8) Statistik: Menganalisis data dan 9) Probabilitas. UNIT 5 GEOMETRI DAN PENGUKURAN meliputi  10) Geometri: Poligon, 11) Pengukuran: Dua dan Tiga Angka-Dimensi standar Ulasan, dan  12) Menatap ke Depan untuk kelas 7: Geometri dan Pengukuran.


Daftar Isi:

START SMART
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 ALGEBRA AND FUNCTIONS
Chapter  1 Introduction to Algebra and Functions

    Reading Word Problems: Making Sense  24
        1-1     A Plan for Problem Solving   25
        1-2     Powers and Exponents    30
        1-3     Squares and Square Roots    34
        1-4     Order of Operations  38
        1-5     Problem-Solving Investigation: Guess and Check  42
        1-6     Algebra: Variables and Expressions  44
                  Mid-Chapter Quiz   48
        1-7     Algebra: Equations   49
        1-8     Algebra: Properties   53
        1-9     Algebra: Arithmetic Sequences   57
                  Extend 1-9 Algebra Lab: Exploring Sequences   62
        1-10 Algebra: Equations and Functions   63
                 Extend 1-10 Graphing Calculator Lab: Functions and Tables  68
    ASSESSMENT
    Study Guide and Review  70
    Practice Test  75
    California Standards Practice 76

Chapter 2   Integers
    2-1     Integers and Absolute Value 80
    2-2     Comparing and Ordering Integers 84
    2-3     The Coordinate Plane  88
    Explore 2-4 Algebra Lab: Adding Integers  93
    2-4     Adding Integers  95
              Mid-Chapter Quiz  100
    Explore 2-5 Algebra Lab: Subtracting Integers  101
    2-5     Subtracting Integers  103
    2-6     Multiplying Integers  107
    2-7     Problem-Solving Investigation: Look for a Pattern  112
    2-8     Dividing Integers  114
    ASSESSMENT
    Study Guide and Review  119
    Practice Test  123
    California Standards Practice  124

Chapter 3  Algebra: Linear Equations and Functions
    3-1     Writing Expressions and Equations  128
    Explore 3-2 Algebra Lab: Solving Equations Using Models   134
    3-2     Solving Addition and Subtraction Equations  136
    3-3     Solving Multiplication Equations  142
              Mid-Chapter Quiz  147
    3-4     Problem-Solving Investigation:  Work Backward  148
              Reading Word Problems: Simplify the Problem  150
    3-5     Solving Two-Step Equations  151
    3-6     Measurement: Perimeter and Area   156
              Explore 3-7 Measurement Lab: Representing Relationships 162
    3-7     Functions and Graphs   163
              Extend 3-7 Graphing Calculator Lab: Graphing Relationships  168
    ASSESSMENT
    Study Guide and Review  169
    Practice Test   173
    California Standards Practice  174

UNIT 2 NUMBER SENSE: FRACTIONS
Chapter 4 Fractions, Decimals, and Percents

Explore 4-1 Math Lab: Exploring Factors  180
    4-1     Prime Factorization  181
              Reading Word Problems: Everyday Meaning  185
    4-2     Greatest Common Factor  186
    4-3     Problem-Solving Investigation: Make an Organized List  190
    4-4     Simplifying Fractions  192
    4-5     Fractions and Decimals  196
              Mid-Chapter Quiz   201
    4-6     Fractions and Percents  202
    4-7     Percents and Decimals   206
    4-8     Least Common Multiple  211
    4-9     Comparing and Ordering Rational Numbers   215
    ASSESSMENT
    Study Guide and Review  221
    Practice Test   225
    California Standards Practice  226

Chapter 5  Applying Fractions
    5-1     Estimating with Fractions   230
    5-2     Adding and Subtracting Fractions   236
    5-3     Adding and Subtracting Mixed Numbers  242
              Mid-Chapter Quiz   247
    5-4     Problem-Solving Investigation: Eliminate Possibilities  248
    Explore 5-5 Math Lab: Multiplying Fractions   250
    5-5     Multiplying Fractions and Mixed Numbers   252
    5-6     Algebra: Solving Equations   258
               Reading Word Problems: Meaning of Division   264
    5-7     Dividing Fractions and Mixed Numbers  265
    ASSESSMENT
    Study Guide and Review  271
    Practice Test   275
    California Standards Practice  276

UNIT 3 ALGEBRA AND NUMBER SENSE: PROPORTIONS AND PERCENTS
Chapter 6 Ratios and Proportions

    6-1     Ratios   282
    6-2     Rates   287
              Extend 6-2 Algebra Lab: Rate of Change   293
    6-3     Measurement: Changing Customary Units   294
    6-4     Measurement: Changing Metric Units   300
    6-5     Algebra: Solving Proportions   306
              Extend 6-5 Statistics Lab: Wildlife Sampling    312
              Mid-Chapter Quiz   313
    6-6     Problem-Solving Investigation: Draw a Diagram  314
    6-7     Scale Drawings   316
              Extend 6-7 Spreadsheet Lab: Scale Drawings   323
    6-8     Fractions, Decimals, and Percents  324
    6-9     Percents Greater Than 100% and Percents Less Than 1%  329
    ASSESSMENT
    Study Guide and Review   333
    Practice Test    337
    California Standards Practice  338
Chapter  7 Applying Percents
Explore 7-1 Math Lab: Percent of a Number   342
    7-1     Percent of a Number   344
               Reading Word Problems: Meaning of Percent   349
    7-2     The Percent Proportion   350
    7-3     Percent and Estimation   355
    7-4     Algebra: The Percent Equation   361
    7-5     Problem-Solving Investigation: Determine Reasonable Answers   366
              Mid-Chapter Quiz   368
    7-6     Percent of Change   369
    7-7     Sales Tax and Discount   375
    7-8     Simple Interest   379
              Extend 7-8 Spreadsheet Lab: Simple Interest   383
    ASSESSMENT
    Study Guide and Review   384
    Practice Test  389
    California Standards Practice  390

UNIT 4 STATISTICS, DATA ANALYSIS, AND PROBABILITY
Chapter 8 Statistics: Analyzing Data

    8-1     Line Plots   396
    8-2     Measures of Central Tendency and Range  402
              Extend 8-2 Graphing Calculator Lab: Mean and Median   409
    8-3     Stem-and-Leaf Plots   410
    8-4     Bar Graphs and Histograms   415
              Extend 8-4 Spreadsheet Lab: Circle Graphs  422
              Mid-Chapter Quiz  423
    8-5     Problem-Solving Investigation: Use a Graph  424
    8-6     Using Graphs to Predict   426
               Extend 8-6 Spreadsheet Lab: Multiple-Line and -Bar Graphs  432
    8-7     Using Data to Predict   434
    8-8     Using Sampling to Predict   438
    8-9     Misleading Statistics   444
    ASSESSMENT
    Study Guide and Review   450
    Practice Test   455
    California Standards Practice .456

Chapter 9 Probability
    9-1     Simple Events   460
    9-2     Sample Spaces  465
    9-3     The Fundamental Counting Principle   471
    9-4     Permutations   475
              Mid-Chapter Quiz    479
    9-5     Combinations   480
    9-6     Problem-Solving Investigation: Act It Out  484
    9-7     Theoretical and Experimental Probability  486
               Extend 9-7 Probability Lab: Simulations  491
    9-8     Compound Events   492
    ASSESSMENT
    Study Guide and Review  498
    Practice Test    503
    California Standards Practice  504

Unit 5 Geometry and Measurement
Chapter 10  Geometry: Polygons

    10-1 Angle Relationships   510
    10-2 Complementary and Supplementary Angles   514
    10-3 Statistics: Display Data in a Circle Graph   518
    10-4 Triangles   524
    10-5 Problem-Solving Investigation:  Use Logical Reasoning  530
    Explore 10-6 Geometry Lab: Investigating Quadrilaterals   532
    10-6 Quadrilaterals   533
             Mid-Chapter Quiz   539
    10-7 Similar Figures   540
    10-8 Polygons and Tessellations   546
             Extend 10-8 Geometry Lab: Tessellations  .552
    10-9 Translations   553
    10-10 Reflections   558
    ASSESSMENT
    Study Guide and Review  563
    Practice Test   567
    California Standards Practice   568

Chapter 11 Measurement: Two- and Three-Dimensional Figures
    11-1 Area of Parallelograms   572
    Explore 11-2 Measurement Lab: Triangles and Trapezoids   577
    11-2 Area of Triangles and Trapezoids   578
    Explore 11-3 Measurement Lab: Circumference of Circles     583
    11-3 Circles and Circumference    584
    11-4 Area of Circles   589
    11-5 Problem-Solving Investigation: Solve a Simpler Problem  594
    11-6 Area of Complex Figures  596
             Extend 11-6 Measurement Lab: Nets and Surface Area   600
             Mid-Chapter Quiz    602
    11-7 Three-Dimensional Figures   603
    Explore 11-8 Geometry Lab: Three-Dimensional Figures   607
    11-8 Drawing Three-Dimensional Figures    608
    11-9 Volume of Prisms   613
    11-10 Volume of Cylinders   619
             Extend 11-10 Graphing Calculator Lab: Graphing Geometric Relationships   624
    ASSESSMENT
    Study Guide and Review   626
    Practice Test    631
    California Standards Practice 632

    Standards Review
    Tips for Success  CA1
    Multiple-Choice Questions   CA2
    Practice by Standard   CA4

Chapter  12 Looking Ahead to Grade 7: Geometry and Measurement
    12-1 Estimating Square Roots   636
    12-2 The Pythagorean Theorem   640
    12-3 Problem-Solving Investigation: Make a Model  646
        Mid-Chapter Quiz  648
    12-4 Surface Area of Rectangular Prisms  649
        Extend 12-4 Measurement Lab: Changes in Volume and Surface Area  654
    12-5 Surface Area of Cylinders   656
    ASSESSMENT
    Study Guide and Review   660
    Practice Test   663
    California Standards Practice  664

Student Handbook
Built-In Workbooks
Prerequisite Skills 668
Extra Practice   679
Mixed Problem Solving  715

Reference
English-Spanish Glossary  727
Selected Answers   747
Photo Credits  776
Index   777 495–512
   

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