Friday, June 26, 2015

Mathematics Application abd Concepts Corse 3







Mathematics Application abd Concepts Corse 3
Buku ini diterbitkan pertama kali pada tahun 2006  oleh The McGraw-Hill Companies, Inc.  New York. Buku ini buku  edisi Pertama.



Judul:  Mathematics Application abd Concepts Corse 3
Oleh:  Rhonda Bailey, et al
Penerbit:   The McGraw-Hill Companies, Inc.  New York
Tahun: 2006
Jumlah Halaman:  784  hal.

Penulis:
Rhonda Bailey

Mathematics Consultant, Mathematics by Design
DeSoto, Texas

Roger Day, Ph.D.
Associate Professor Illinois State University
Normal, Illinois

Patricia Frey
Director of Staffing and Retention Buffalo City Schools
Buffalo, New York

Arthur C. Howard
Mathematics Teacher Houston Christian High School
Houston, Texas

Deborah T. Hutchens, Ed.D.
Assistant Principal Great Bridge Middle School
Chesapeake, Virginia

Kay McClain, Ed.D.
Assistant Professor Vanderbilt University
Nashville, Tennessee

Jack Price, Ed.D.
Professor Emeritus
California State Polytechnic University
Pomona, California

Kathleen Vielhaber
Mathematics Specialist Parkway School District
St. Louis, Missouri

Teri Willard, Ed.D.
Assisstant Professor of Mathematics Education
Central Washington University
Ellensburg, Washington


Lingkup Pembahasan:
Buku ini terdiri atas 5 Bagian Utama. Unit 1 Bilangan Riil dan Aljabar, mencakup pembahasan  Aljabar: Integer, Aljabar: Nomor Rasional, dan Aljabar: Bilangan nyata dan Teorema Pythagoras.  Unit 2 Penalaran Proporsional, meliputi pembahasan Proporsi, Aljabar, dan Geometri;  dan persen.
Unit 3 Geometri dan Pengukuran mencakup pembahasan  geometri dan  Geometri: Mengukur Luas dan Volume. Unit 4 Probabilitas dan Statistik, meliputi pembahasan  Teori kemungkinan, Statistik dan Matriks.  Unit 5 Aljabar: Linear dan Fungsi Nonlinear mencakup pembahasan  Aljabar: Persamaan Lebih dan kesenjangan, Aljabar: Fungsi Linear, dan Aljabar: Fungsi nonlinear dan polinomial.

Daftar Isi:



Unit 1 Real Numbers and Algebra
    1  Algebra: Integers
        Getting Started  5
        1-1     A Plan for Problem Solving   6
        1-2     Variables, Expressions, and Properties  11
                  Study Skill: Use a Word Map  16
        1-3     Integers and Absolute Value  17
        1-3b   Lab: Graphing Data  22
        1-4     Adding Integers  23
        1-5     Subtracting Integers  28
                  Mid-Chapter Practice Test  32
        1-6     Multiplying and Dividing Integers  34
        1-7     Writing Expressions and Equations  39
        1-8a   Problem-Solving Strategy: Work Backward  43
        1-8     Solving Addition and Subtraction Equations  45
        1-9     Solving Multiplication and Division Equations  50
        ASSESSMENT
        Study Guide and Review  54
        Practice Test  57
        Standardized Test Practice  58
    2  Algebra: Rational Numbers
        Getting Started  61
        2-1     Fractions and Decimals  62
        2-2     Comparing and Ordering Rational Numbers  67
        2-3     Multiplying Rational Numbers 71
        2-4     Dividing Rational Numbers  76
                  Study Skill: Use Two-Column Notes  81
        2-5     Adding and Subtracting Like Fractions  82
                  Mid-Chapter Practice Test  86
        2-6     Adding and Subtracting Unlike Fractions  88
        2-7     Solving Equations with Rational Numbers  92
        2-8a   Problem-Solving Strategy: Look for a Pattern  96
        2-8     Powers and Exponents  98
        2-8b   Lab: Binary Numbers  102
        2-9     Scientific Notation  104
        ASSESSMENT
        Study Guide and Review  108
        Practice Test  111
        Standardized Test Practice  112
    3   Algebra: Real Numbers and the Pythagorean Theorem
        Getting Started   115
        3-1     Square Roots   116
        3-2     Estimating Square Roots   120
        3-3a    Problem-Solving Strategy: Use a Venn Diagram   123
        3-3     The Real Number System  125
            Mid-Chapter Practice Test   130
        3-4     The Pythagorean Theorem   132
        3-5     Using the Pythagorean Theorem   137
        3-5b Lab: Graphing Irrational Numbers    141
        3-6     Geometry: Distance on the Coordinate Plane  142
        ASSESSMENT
        Study Guide and Review  146
        Practice Test   149
        Standardized Test Practice  150

Unit 2 Proportional Reasoning
    4  Proportions, Algebra, and Geometry 

        Getting Started   155
        4-1     Ratios and Rates  156
        4-2     Rate of Change   160
        4-2b   Spreadsheet Investigation: Constant Rates of Change  165
        4-3     Slope   166
        4-4     Solving Proportions   170
                  Mid-Chapter Practice Test   174
        4-5a   Problem-Solving Strategy: Draw a Diagram  176
        4-5     Similar Polygons   178
        4-5b   Lab: The Golden Rectangle   183
        4-6     Scale Drawings and Models   184
        4-7     Indirect Measurement   188
        4-7b   Lab: Trigonometry  192
        4-8     Dilations   194
        ASSESSMENT
        Study Guide and Review   198
        Practice Test   201
        Standardized Test Practice  202
    5  Percent
        Getting Started   205
        5-1     Ratios and Percents   206
        5-2     Fractions, Decimals, and Percents  210
                  Study Skill: Compare Data  215
        5-3     Algebra: The Percent Proportion   216
        5-4     Finding Percents Mentally  220
                  Mid-Chapter Practice Test  224
        5-5a   Problem-Solving Strategy: Reasonable Answers   226
        5-5     Percent and Estimation  228
        5-6     Algebra: The Percent Equation  232
        5-7     Percent of Change  236
        5-8     Simple Interest   241
        5-8b Spreadsheet Investigation: Compound Interest   245
        ASSESSMENT
        Study Guide and Review  246
        Practice Test   249
        Standardized Test Practice  250

Unit 3 Geometry and Measurement
    6  Geometry

        Getting Started   255
        6-1     Line and Angle Relationships   256
        6-1b   Lab: Constructing Parallel Lines    261
        6-2     Triangles and Angles   262
        6-2b   Lab: Bisecting Angles   266
        6-3     Special Right Triangles   267
        6-3b   Lab: Constructing Perpendicular Bisectors   271
        6-4     Classifying Quadrilaterals  272
        6-4b   Problem-Solving Strategy: Use Logical Reasoning  276
        6-5a   Lab: Angles of Polygons  278
        6-5     Congruent Polygons  279
        6-5b   Lab: Constructing Congruent Triangles   283
                  Mid-Chapter Practice Test  284
        6-6     Symmetry  286
        6-7     Reflections   290
                  Study Skill: Use a Definition Map  295
        6-8     Translations  296
        6-9     Rotations  300
        6-9b   Lab: Tessellations  304
        ASSESSMENT
        Study Guide and Review  306
        Practice Test  309
        Standardized Test Practice  310
    7  Geometry: Measuring Area and Volume
        Getting Started  313
        7-1     Area of Parallelograms, Triangles, and Trapezoids 314
        7-2     Circumference and Area of Circles  319
        7-3a    Problem-Solving Strategy: Solve a Simpler Problem  324
        7-3     Area of Complex Figures  326
        7-4a    Lab: Building Three-Dimensional Figures  330
        7-4     Three-Dimensional Figures  331
        7-5     Volume of Prisms and Cylinders  335
                  Mid-Chapter Practice Test  340
        7-6     Volume of Pyramids and Cones  342
        7-7a    Lab: Nets   346
        7-7     Surface Area of Prisms and Cylinders  347
        7-8     Surface Area of Pyramids and Cones   352
        7-8b   Spreadsheet Investigation: Similar Solids  356
        7-9     Measurement: Precision and Significant Digits    358
        ASSESSMENT
        Study Guide and Review  363
        Practice Test   367
        Standardized Test Practice  368

Unit 4 Probability and Statistics
    8  Probability

        Getting Started   373
        8-1     Probability of Simple Events  374
        8-2a   Problem-Solving Strategy: Make an Organized List  378
        8-2     Counting Outcomes  380
        8-3     Permutations  384
        8-4     Combinations  388
        8-4b   Lab: Combinations and Pascal’s Triangle  392
                  Mid-Chapter Practice Test  394
        8-5     Probability of Compound Events  396
        8-6     Experimental Probability  400
        8-6b   Graphing Calculator Investigation: Simulations 404
        8-7     Statistics: Using Sampling to Predict   406
        ASSESSMENT
        Study Guide and Review  410
        Practice Test   413
        Standardized Test Practice  414
    9  Statistics and Matrices
        Getting Started   417
        9-1a   Problem-Solving Strategy: Make a Table  418
        9-1     Histograms   420
        9-1b   Graphing Calculator Investigation: Histograms    425
        9-2     Circle Graphs   426
        9-3     Choosing an Appropriate Display   430
        9-3b   Lab: Maps and Statistics  434
        9-4     Measures of Central Tendency  435
        9-4b   Spreadsheet Investigation: Mean, Median, and Mode   439
                  Mid-Chapter Practice Test   440
        9-5     Measures of Variation    442
        9-6     Box-and-Whisker Plots   446
        9-7     Misleading Graphs and Statistics  450
        9-8     Matrices   454
        ASSESSMENT
        Study Guide and Review   458
        Practice Test    461
        Standardized Test Practice 462

Unit 5 Algebra: Linear and Nonlinear Functions
    10 Algebra: More Equations and Inequalities

        Getting Started     467
        10-1a   Lab: Algebra Tiles  468
        10-1     Simplifying Algebraic Expressions  469
        10-2     Solving Two-Step Equations  474
        10-3     Writing Two-Step Equations   478
        10-4a   Lab: Equations with Variables on Each Side   482
        10-4     Solving Equations with Variables on Each Side     484
        10-4b   Problem-Solving Strategy: Guess and Check   488
                     Mid-Chapter Practice Test   490
        10-5     Inequalities   492
        10-6     Solving Inequalities by Adding or Subtracting   496
        10-7     Solving Inequalities by Multiplying or Dividing     500
        ASSESSMENT
        Study Guide and Review   505
        Practice Test    507
        Standardized Test Practice  508
    11 Algebra: Linear Functions
        Getting Started   511
        11-1     Sequences   512
        11-1b   Lab: The Fibonacci Sequence   516
        11-2     Functions   517
        11-3a   Lab: Graphing Relationships   521
        11-3    Graphing Linear Functions    522
        11-4    The Slope Formula   526
                    Mid-Chapter Practice Test   530
        11-5a   Graphing Calculator Investigation: Families of Linear Graphs   532
        11-5     Slope-Intercept Form    533
        11-6a    Problem-Solving Strategy: Use a Graph   537
        11-6     Statistics: Scatter Plots   539
        11-6b   Graphing Calculator Investigation: Scatter Plots . 543
        11-7     Graphing Systems of Equations   544
        11-8     Graphing Linear Inequalities    548
        ASSESSMENT
        Study Guide and Review   552
        Practice Test   555
        Standardized Test Practice   556

   12 Algebra: Nonlinear Functions and Polynomials
        Getting Started   559
        12-1     Linear and Nonlinear Functions   560
        12-2a   Graphing Calculator Investigation: Families of Quadratic Functions  564
        12-2     Graphing Quadratic Functions  565
        12-3a    Lab: Modeling Expressions with Algebra Tiles   569
        12-3     Simplifying Polynomials  570
        12-4     Adding Polynomials  574
                    Mid-Chapter Practice Test   578
        12-5     Subtracting Polynomials    580
        12-6     Multiplying and Dividing Monomials   584
        12-7a   Problem-Solving Strategy: Make a Model   588
        12-7     Multiplying Monomials and Polynomials  590
        ASSESSMENT
        Study Guide and Review  593
        Practice Test   595
        Standardized Test Practice  596
   Student Handbook
        Built-In Workbooks
        Prerequisite Skills   600
        Extra Practice   616
        Mixed Problem Solving  648
        Preparing for Standardized Tests  660
   Skills
       Trigonometry  678
       Measurement Conversion   686
   Reference
       English-Spanish Glossary  692
       Selected Answers  719
        Photo Credits  743

   Index  744

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