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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