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.
Penulis:
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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