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CHAPTER
1
CHAPTER STUDY GUIDE 2
1.1 Real Numbers and Number Operations 3
1.2 Algebraic Expressions and Models 11QUIZ 1, 17
� CALCULATOR ACTIVITY: Evaluating Expressions, 18
1.3 Solving Linear Equations 19
� GRAPHING CALCULATOR: Using Tables to Solve Equations, 25
1.4 Rewriting Equations and Formulas 26
1.5 Problem Solving Using Algebraic Models: EXPLORING DATA AND STATISTICS 33QUIZ 2, 40
1.6 Solving Linear Inequalities 41
� GRAPHING CALCULATOR: Solving an Inequality, 48
1.7 Solving Absolute Value Equations and Inequalities 50
� CONCEPT ACTIVITY: Absolute Value Equations and Inequalities, 49QUIZ 3, 56
ASSESSMENT
Skill Review, 2Quizzes, 17, 40, 56Test Preparation Questions, 10, 16, 24,31, 39, 47, 55Chapter Summary, Review, and Test, 57Chapter Standardized Test, 62
APPLICATIONHIGHLIGHTS
Railroads 1, 35Geography 4Money Exchange 6Real Estate 21Photo Framing 21Benefit Concert 27Gardening 28Weather Balloons 36Auto Maintenance 44Traffic Enforcement 44
MATH & HISTORY
Problem Solving 40
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links1, 35, 38, 40, 46
Student Help 6, 15, 18, 20, 25, 31, 38, 43, 48, 51, 54
Career Links 16, 21, 23, 30
Extra Challenge 10, 16, 24, 32, 39, 47, 55
vi Contents
Equations and InequalitiesEquations and Inequalities
�READING, WRITING, ANDNOTETAKING
Reading 2, 3, 5, 13, 26, 41, 43, 50Writing 47, 63Notetaking 2, 3, 5, 11, 19, 28, 41, 50, 51,57Vocabulary 2, 7, 14, 22, 29, 37, 45, 53,58
Page 1 of 2
Contents vii
CHAPTER
2
CHAPTER STUDY GUIDE 66
2.1 Functions and Their Graphs 67
2.2 Slope and Rate of Change 75
2.3 Quick Graphs of Linear Equations 82QUIZ 1, 89
� GRAPHING CALCULATOR: Graphing Equations, 90
2.4 Writing Equations of Lines 91
2.5 Correlation and Best-Fitting Lines: EXPLORING DATA AND STATISTICS 100
� CONCEPT ACTIVITY: Fitting a Line to a Set of Data, 99QUIZ 2, 106
� GRAPHING CALCULATOR: Using Linear Regression, 107
2.6 Linear Inequalities in Two Variables 108
2.7 Piecewise Functions 114
� GRAPHING CALCULATOR: Graphing Piecewise Functions, 121
2.8 Absolute Value Functions 122QUIZ 3, 128
ASSESSMENT
Skill Review, 66Quizzes, 89, 106, 128Test Preparation Questions, 74, 81, 88,98, 105, 113, 120, 127Chapter Summary, Review, and Test, 129Chapter Standardized Test, 134
APPLICATIONHIGHLIGHTS
Youth Service 65, 105Ballooning 70Ladder Safety 78Deserts 78Buying a Computer 83Fundraising 85Politics 93Communication 110Wages 116Billiards 124
MATH & HISTORY
Transatlantic Voyages 89
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links65, 78, 89, 119, 126
Student Help70, 77, 88, 90, 92, 105, 107,110, 118, 119, 121, 126, 127
Career Links 68, 102, 112
Extra Challenge74, 81, 88, 98, 105, 113, 120, 127
Linear Equations andFunctionsLinear Equations andFunctions
�READING, WRITING, ANDNOTETAKING
Reading 66, 76, 82, 91, 122Writing 72, 81, 88, 98Notetaking 66, 75, 76, 77, 82, 84, 85, 91,101, 109, 123, 129Vocabulary 66, 71, 79, 86, 95, 103, 111,117, 125, 130
Page 1 of 2
CHAPTER
3Systems of LinearEquations and Inequalities
CHAPTER STUDY GUIDE 138
3.1 Solving Linear Systems by Graphing 139
� GRAPHING CALCULATOR: Graphing Systems of Equations, 146
3.2 Solving Linear Systems Algebraically 148
� CONCEPT ACTIVITY: Combining Equations in a Linear System, 147QUIZ 1, 155
3.3 Graphing and Solving Systems of Linear Inequalities 156
3.4 Linear Programming: EXPLORING DATA AND STATISTICS 163QUIZ 2, 169
3.5 Graphing Linear Equations in Three Variables 170
� GRAPHING CALCULATOR: Graphing Linear Equations in Three Variables, 176
3.6 Solving Systems of Linear Equations in Three Variables 177QUIZ 3, 184
ASSESSMENT
Skill Review, 138Quizzes, 155, 169, 184Test Preparation Questions, 145, 154,162, 168, 175, 183Chapter Summary, Review, and Test, 185Chapter Standardized Test, 190Cumulative Practice, Chapters 1–3, 192Project, Chapters 1–3, 194
APPLICATIONHIGHLIGHTS
Cross-Training 137, 154Vacation Costs 141Fitness 144Catering 151Heart Rate 158Bicycle Production 165Landscaping 172Transportation 174Sports 180Voting 183
MATH & HISTORY
Linear Programming inWorld War II 169
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links 137, 169, 174, 183
Student Help 140, 146, 153, 160, 161, 167, 171, 172, 176, 178
Career Links 151, 158, 172
Extra Challenge 145, 154, 162, 168, 175, 183
PROJECT
Chapters 1–3 Project 194
viii Contents
Systems of LinearEquations and Inequalities
�READING, WRITING, ANDNOTETAKING
Reading 138, 163, 171Writing 145, 153, 175, 183, 191Notetaking 138, 140, 148, 149, 156, 163,178, 185Vocabulary 138, 142, 152, 159, 166, 173,181, 186
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Contents ix
CHAPTER
4Matrices andDeterminants
CHAPTER STUDY GUIDE 198
4.1 Matrix Operations: EXPLORING DATA AND STATISTICS 199
� GRAPHING CALCULATOR: Using Matrix Operations, 207
4.2 Multiplying Matrices 208
4.3 Determinants and Cramer’s Rule 214QUIZ 1, 221
4.4 Identity and Inverse Matrices 223
� CONCEPT ACTIVITY: Investigating Identity and Inverse Matrices, 222
4.5 Solving Systems Using Inverse Matrices 230QUIZ 2, 236
EXTENSION: Solving Systems Using Augmented Matrices 237
ASSESSMENT
Skill Review, 198Quizzes, 221, 236Test Preparation Questions, 206, 213,220, 229, 235Chapter Summary, Review, and Test, 239Chapter Standardized Test, 244
APPLICATIONHIGHLIGHTS
Music Sales 197, 204Health Care Plans 202College Costs 205Softball 210Exercise 212Bermuda Triangle 215Atomic Weights 217Sailing 219Cryptography 225Investing 232
MATH & HISTORY
Systems of Equations 236
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links 197, 210, 225, 232, 236
Student Help 204, 207, 209, 216, 224, 234
Career Links 202, 217, 234
Extra Challenge 206, 213, 220, 229, 235
Matrices andDeterminants
�READING, WRITING, ANDNOTETAKING
Reading 198, 201, 209, 214Writing 206, 213, 229, 235, 245Notetaking 198, 201, 209, 214, 215, 216,217, 223, 237, 239Vocabulary 198, 203, 211, 218, 227, 233,240
Page 1 of 2
CHAPTER
5Quadratic Functions
CHAPTER STUDY GUIDE 248
5.1 Graphing Quadratic Functions 249
5.2 Solving Quadratic Equations by Factoring 256
5.3 Solving Quadratic Equations by Finding Square Roots 264QUIZ 1, 270
� GRAPHING CALCULATOR: Solving Quadratic Equations, 271
5.4 Complex Numbers 272
5.5 Completing the Square 282
� CONCEPT ACTIVITY: Using Algebra Tiles to Complete the Square, 281
� GRAPHING CALCULATOR: Finding Maximums and Minimums, 290
5.6 The Quadratic Formula and the Discriminant 291QUIZ 2, 298
5.7 Graphing and Solving Quadratic Inequalities 299
5.8 Modeling with Quadratic Functions: EXPLORING DATA AND STATISTICS 306QUIZ 3, 312
ASSESSMENT
Skill Review, 248Quizzes, 270, 298, 312Test Preparation Questions, 255, 263,269, 280, 289, 297, 305, 311Chapter Summary, Review, and Test, 313Chapter Standardized Test, 318
APPLICATIONHIGHLIGHTS
Volcanoes 247, 297Civil Engineering 252Crafts 258Business 259History 266Landscape Design 284Agriculture 285Entertainment 294Carpentry 300Fuel Economy 307
MATH & HISTORY
Telescopes 270
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links247, 254, 268, 270, 311
Student Help254, 259, 265, 271, 279, 285, 290, 292, 304, 308, 310
Career Links252, 279, 296, 304, 308
Extra Challenge255, 263, 269, 280, 289, 297, 305, 312
x Contents
Quadratic Functions
�READING, WRITING, ANDNOTETAKING
Reading 248, 249, 257, 282, 293, 299, 302Writing 255, 269, 279, 280, 305Notetaking 248, 249, 250, 257, 264, 272,275, 276, 291, 293, 299, 313Vocabulary 248, 253, 260, 267, 277, 286,295, 303, 309, 314
Page 1 of 2
Contents xi
CHAPTER
6Polynomials andPolynomial Functions
CHAPTER STUDY GUIDE 322
6.1 Using Properties of Exponents 323
6.2 Evaluating and Graphing Polynomial Functions 329
� GRAPHING CALCULATOR: Setting a Good Viewing Window, 337
6.3 Adding, Subtracting, and Multiplying Polynomials 338QUIZ 1, 344
6.4 Factoring and Solving Polynomial Equations 345
6.5 The Remainder and Factor Theorems 352
6.6 Finding Rational Zeros 359QUIZ 2, 365
6.7 Using the Fundamental Theorem of Algebra 366
� GRAPHING CALCULATOR: Solving Polynomial Equations, 372
6.8 Analyzing Graphs of Polynomial Functions 373
6.9 Modeling with Polynomial Functions: EXPLORING DATA AND STATISTICS 380
� CONCEPT ACTIVITY: Exploring Finite Differences, 379QUIZ 3, 386
ASSESSMENT
Skill Review, 322Quizzes, 344, 365, 386Test Preparation Questions, 328, 336,343, 350, 358, 364, 371, 378, 385Chapter Summary, Review, and Test, 387Chapter Standardized Test, 392Cumulative Practice, Chapters 1–6, 394Project, Chapters 4–6, 396
APPLICATIONHIGHLIGHTS
Space Exploration 321, 327Photography 330Biology 332Farming 340Publishing 340Archeology 347Accounting 355Physiology 368Manufacturing 375Boating 382
MATH & HISTORY
Solving PolynomialEquations 351
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links321, 325, 351, 357, 377
Student Help324, 332, 337, 343, 349, 354,363, 367, 372, 374, 381
Career Links327, 330, 335, 342, 347, 355
Extra Challenge328, 336, 343, 350, 358, 364,371, 378, 385
PROJECT
Chapters 4–6 Project 396
Polynomials andPolynomial Functions
�READING, WRITING, ANDNOTETAKING
Reading 322, 323, 329, 331, 339, 345, 359,373, 381Writing 328, 336, 349, 371, 385, 393Notetaking 322, 323, 331, 339, 345, 353,354, 359, 366, 373, 374, 381, 387Vocabulary 322, 326, 333, 341, 348, 356,362, 369, 376, 383, 388
Page 1 of 2
CHAPTER
7Powers, Roots,and Radicals
CHAPTER STUDY GUIDE 400
7.1 nth Roots and Rational Exponents 401
7.2 Properties of Rational Exponents 407QUIZ 1, 414
7.3 Power Functions and Function Operations 415
7.4 Inverse Functions 422
� CONCEPT ACTIVITY: Exploring Inverse Functions, 421QUIZ 2, 429
� GRAPHING CALCULATOR: Graphing Inverse Functions, 430
7.5 Graphing Square Root and Cube Root Functions 431
7.6 Solving Radical Equations 437
7.7 Statistics and Statistical Graphs: EXPLORING DATA AND STATISTICS 445QUIZ 3, 452
� GRAPHING CALCULATOR: Statistics and Statistical Graphs, 453
ASSESSMENT
Skill Review, 400Quizzes, 414, 429, 452Test Preparation Questions, 406, 413,420, 428, 436, 443, 451Chapter Summary, Review, and Test, 455Chapter Standardized Test, 460
APPLICATIONHIGHLIGHTS
Dinosaurs 399, 442Space Science 403Nautical Science 403Biology 410Business 417Science 423Astronomy 425Amusement Parks 433Elephants 433Basketball 445
MATH & HISTORY
Tsunamis 444
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links399, 403, 425, 440, 444
Student Help405, 408, 409, 419, 428, 430, 435, 438, 446, 453
Career Links419, 427, 433, 435, 450
Extra Challenge406, 413, 420, 428, 436, 443, 451
xii Contents
Powers, Roots,and Radicals
�READING, WRITING, ANDNOTETAKING
Reading 400, 407, 415, 416, 423, 431, 437,445, 447Writing 406, 413, 420, 436, 459, 461Notetaking 400, 401, 402, 407, 415, 416,423, 424, 431, 446, 455Vocabulary 400, 404, 411, 418, 426, 434,441, 449, 456
Page 1 of 2
Contents xiii
CHAPTER
8Exponential andLogarithmic Functions
CHAPTER STUDY GUIDE 464
8.1 Exponential Growth 465
8.2 Exponential Decay 474
� CONCEPT ACTIVITY: Exponential Growth and Decay, 473
8.3 The Number e 480QUIZ 1, 485
8.4 Logarithmic Functions 486
8.5 Properties of Logarithms 493
� GRAPHING CALCULATOR: Graphing Logarithmic Functions, 500
8.6 Solving Exponential and Logarithmic Equations 501QUIZ 2, 508
8.7 Modeling with Exponential and Power Functions: EXPLORING DATA AND STATISTICS 509
8.8 Logistic Growth Functions 517QUIZ 3, 522
ASSESSMENT
Skill Review, 464Quizzes, 485, 508, 522Test Preparation Questions, 472, 479,485, 492, 498, 507, 516, 522Chapter Summary, Review, and Test, 523Chapter Standardized Test, 528
APPLICATIONHIGHLIGHTS
Mountain Climbing 463, 484Internet Hosts 467Compound Interest 468Automobiles 476Endangered Species 482Acoustics 495Cooking 502Seismology 504Communications 510Botany 519
MATH & HISTORY
Logarithms 499
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links463, 467, 491, 497, 499, 507
Student Help467, 471, 476, 484, 487, 497,500, 502, 515, 518, 519
Career Links468, 482, 495
Extra Challenge472, 492, 498, 507
Exponential andLogarithmic Functions
�READING, WRITING, ANDNOTETAKING
Reading 464, 465, 468, 474, 486, 489, 517,518Writing 479, 484, 498, 506, 507, 516, 529Notetaking 464, 468, 480, 486, 489, 493,494, 518, 523Vocabulary 464, 469, 477, 483, 490, 496,505, 513, 520, 524
Page 1 of 2
CHAPTER
9Rational Equations and Functions
CHAPTER STUDY GUIDE 532
9.1 Inverse and Joint Variation: EXPLORING DATA AND STATISTICS 534
� CONCEPT ACTIVITY: Investigating Inverse Variation, 533
9.2 Graphing Simple Rational Functions 540
� GRAPHING CALCULATOR: Graphing Rational Functions, 546
9.3 Graphing General Rational Functions 547QUIZ 1, 553
9.4 Multiplying and Dividing Rational Expressions 554
� GRAPHING CALCULATOR: Operations with Rational Expressions, 561
9.5 Addition, Subtraction, and Complex Fractions 562
9.6 Solving Rational Equations 568QUIZ 2, 574
ASSESSMENT
Skill Review, 532Quizzes, 553, 574Test Preparation Questions, 539, 545,552, 560, 567, 573Chapter Summary, Review, and Test, 575Chapter Standardized Test, 580Cumulative Practice, Chapters 1–9, 582Project, Chapters 7–9, 584
APPLICATIONHIGHLIGHTS
Skydiving 531, 557Oceanography 535Biology 535Business 542Manufacturing 549Farmland 559Statistics 563Photography 564Chemistry 570Rodeos 570
MATH & HISTORY
Deep Water Diving 574
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links531, 536, 574
Student Help538, 541, 546, 551, 556, 561, 564, 568
Career Links551, 559, 566
Extra Challenge539, 545, 552, 560, 567, 573
PROJECT
Chapters 7–9 Project 584
xiv Contents
Rational Equations and Functions
�READING, WRITING, ANDNOTETAKING
Reading 532, 534, 540, 547Writing 539, 545, 560, 581Notetaking 532, 547, 554, 575Vocabulary 532, 537, 543, 550, 558, 565,571, 576
Page 1 of 2
Contents xv
CHAPTER
10Quadratic Relations and Conic Sections
CHAPTER STUDY GUIDE 588
The Distance and Midpoint Formulas: EXPLORING DATA AND STATISTICS 589
Parabolas 595
Circles 601QUIZ 1, 607
� GRAPHING CALCULATOR: Graphing Circles, 608
Ellipses 609
Hyperbolas 615QUIZ 2, 621
Graphing and Classifying Conics 623
� CONCEPT ACTIVITY: Exploring Conic Sections, 622
Solving Quadratic Systems 632QUIZ 3, 638
EXTENSION: Eccentricity of Conic Sections 639
ASSESSMENT
Skill Review, 588Quizzes, 607, 621, 638Test Preparation Questions, 594, 600,606, 614, 620, 630, 637Chapter Summary, Review, and Test, 641Chapter Standardized Test, 646
10.7
10.6
10.5
10.4
10.3
10.2
10.1
APPLICATIONHIGHLIGHTS
Telescopes 587, 627Archeology 591Solar Energy 597Ocean Navigation 603Landscaping 611Photography 617Sculpture 617Communications 625Seismology 634Astronomy 640
MATH & HISTORY
History of Conic Sections631
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links587, 597, 617, 620, 631
Student Help593, 596, 602, 608, 610, 619, 624, 637
Career Links593, 606, 634, 636
Extra Challenge594, 600, 606, 614, 620, 630, 637
Quadratic Relations and Conic Sections
�READING, WRITING, ANDNOTETAKING
Reading 588, 589, 595, 601, 609, 615, 623,626, 639Writing 600, 605, 614, 620, 647Notetaking 588, 589, 590, 596, 601, 609,615, 623, 626, 639, 641Vocabulary 588, 592, 598, 604, 612, 618,628, 635, 642
Page 1 of 2
CHAPTER
11Sequences and Series
CHAPTER STUDY GUIDE 650
An Introduction to Sequences and Series 651
� GRAPHING CALCULATOR: Working with Sequences, 658
Arithmetic Sequences and Series 659
Geometric Sequences and Series 666QUIZ 1, 673
Infinite Geometric Series 675
� CONCEPT ACTIVITY: Investigating an Infinite Geometric Series, 674
Recursive Rules for Sequences 681QUIZ 2, 687
� SPREADSHEET SOFTWARE: Evaluating Recursive Rules, 688
EXTENSION: Mathematical Induction 689
ASSESSMENT
Skill Review, 650Quizzes, 673, 687Test Preparation Questions, 657, 665,672, 680, 686Chapter Summary, Review, and Test, 691Chapter Standardized Test, 696
11.5
11.4
11.3
11.2
11.1
APPLICATIONHIGHLIGHTS
Fractals 649, 685Seating Capacity 662Honeycombs 664Cellular Phones 669Tennis 671Computer Science 671Ball Bounce 677Tourism 679Fish 683Tree Farm 685
MATH & HISTORY
Fibonacci Sequence 687
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links649, 669, 687
Student Help656, 658, 664, 668, 676, 685, 688
Career Links664, 671, 679, 683, 685
Extra Challenge657, 665, 672, 680, 686
xvi Contents
Sequences and Series
�READING, WRITING, ANDNOTETAKING
Reading 650, 651, 652, 653, 654, 681, 689Writing 664, 672, 697Notetaking 650, 654, 659, 661, 666, 668,675, 689, 691Vocabulary 650, 655, 663, 670, 678, 684,692
Page 1 of 2
Contents xvii
CHAPTER
12Probability and Statistics
CHAPTER STUDY GUIDE 700
The Fundamental Counting Principle and Permutations 701
Combinations and the Binomial Theorem 708QUIZ 1, 715
An Introduction to Probability 716
� GRAPHING CALCULATOR: Generating Random Numbers, 723
Probability of Compound Events 724
Probability of Independent and Dependent Events 730QUIZ 2, 737
Binomial Distributions 739
� CONCEPT ACTIVITY: Investigating Binomial Distributions, 738
� GRAPHING CALCULATOR: Constructing a Binomial Distribution, 745
Normal Distributions: EXPLORING DATA AND STATISTICS 746QUIZ 3, 752
EXTENSION: Expected Value 753
ASSESSMENT
Skill Review, 700
Quizzes, 715, 737, 752
Test Preparation Questions, 707, 714,722, 729, 736, 744, 751
Chapter Summary, Review, and Test, 755
Chapter Standardized Test, 760
Cumulative Practice, Chapters 1–12, 762
Project, Chapters 10–12, 764
12.7
12.6
12.5
12.4
12.3
12.2
12.1
APPLICATIONHIGHLIGHTS
Concerts 699, 713Criminology 702Sports 703Internet 717Entertainment 718Business 725Home Electronics 726Baseball 730Endangered Species 732Health Statistics 747
MATH & HISTORY
Probability Theory 737
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links699, 713, 721, 737, 741
Student Help703, 704, 706, 709, 711, 718, 723, 726, 729, 735, 743, 745, 751, 754
Career Links702, 728, 735, 748
Extra Challenge707, 714, 722, 729, 736, 744, 751
PROJECT
Chapters 10–12 Project 764
Probability and Statistics
�READING, WRITING, ANDNOTETAKING
Reading 700, 701, 716, 724, 739, 741, 746Writing 714, 751Notetaking 700, 701, 703, 704, 708, 710,716, 724, 726, 730, 732, 739, 741, 746, 748,753, 755Vocabulary 700, 705, 712, 719, 727, 734,742, 749, 756
Page 1 of 2
CHAPTER
13Trigonometric Ratios andFunctions
CHAPTER STUDY GUIDE 768
Right Triangle Trigonometry 769
General Angles and Radian Measure 776QUIZ 1, 783
Trigonometric Functions of Any Angle 784
Inverse Trigonometric Functions 792
� CONCEPT ACTIVITY: Investigating Inverse Trigonometric Functions, 791QUIZ 2, 798
The Law of Sines 799
The Law of Cosines 807
Parametric Equations and Projectile Motion: EXPLORING DATA AND STATISTICS 813QUIZ 3, 819
� GRAPHING CALCULATOR: Graphing Parametric Equations, 820
ASSESSMENT
Skill Review, 768Quizzes, 783, 798, 819Test Preparation Questions, 774, 782,790, 797, 806, 812, 818Chapter Summary, Review, and Test, 821Chapter Standardized Test, 826
13.7
13.6
13.5
13.4
13.3
13.2
13.1
APPLICATIONHIGHLIGHTS
Drawbridges 767, 796Bicycles 778Space Needle Building 779Golf 787Marching Band 787Rock Salt 794Construction 794Astronomy 801Softball 808Aviation 814
MATH & HISTORY
Columbus’s Voyage 775
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links767, 775, 778, 817
Student Help770, 777, 786, 796, 804, 811, 817, 820
Career Links789, 801, 805, 811
Extra Challenge774, 782, 790, 797, 806, 812, 818
xviii Contents
Trigonometric Ratios andFunctions
�READING, WRITING, ANDNOTETAKING
Reading 768, 769, 770, 776, 779, 784, 785,786, 792, 800Writing 774, 797, 805, 806, 827Notetaking 768, 769, 777, 779, 784, 786,792, 799, 800, 802, 807, 809, 821Vocabulary 768, 772, 780, 788, 795, 803,810, 816, 822
Page 1 of 2
Contents xix
CHAPTER
14Trigonometric Graphs,Identities, and Equations
CHAPTER STUDY GUIDE 830
Graphing Sine, Cosine, and Tangent Functions 831
� GRAPHING CALCULATOR: Graphing Trigonometric Functions, 838
Translations and Reflections of Trigonometric Graphs 840
� CONCEPT ACTIVITY: Translating and Reflecting Trigonometric Graphs, 839
QUIZ 1, 847
Verifying Trigonometric Identities 848
Solving Trigonometric Equations 855
Modeling with Trigonometric Functions: EXPLORING DATA AND STATISTICS 862QUIZ 2, 868
Using Sum and Difference Formulas 869
Using Double- and Half-Angle Formulas 875QUIZ 3, 882
ASSESSMENT
Skill Review, 830Quizzes, 847, 868, 882Test Preparation Questions, 837, 846,854, 861, 867, 874, 881Chapter Summary, Review, and Test, 883Chapter Standardized Test, 888Cumulative Practice, Chapters 1–14, 890Project, Chapters 13–14, 892
14.7
14.6
14.5
14.4
14.3
14.2
14.1
APPLICATIONHIGHLIGHTS
Ferris Wheel 829, 842Music 833Rappelling 843Physical Fitness 851Meteorology 863Biomechanics 871Auto Engineering 871Sports 878Inca Dwellings 881Optics 881
MATH & HISTORY
Music and Math 868
INTERNETCONNECTIONS
www.mcdougallittell.com
Application Links829, 842, 860, 868, 878
Student Help836, 838, 845, 851, 857, 862, 873, 877
Career Links836, 858, 871
Extra Challenge837, 846, 854, 861, 867, 874, 881
PROJECT
Chapters 13–14 Project 892
Trigonometric Graphs,Identities, and Equations
�READING, WRITING, ANDNOTETAKING
Reading 830, 831, 832, 834, 848, 869, 875Writing 846, 854, 866, 880Notetaking 830, 832, 834, 840, 843, 848,869, 875, 883Vocabulary 830, 835, 844, 852, 859, 865,872, 879, 884
Page 1 of 2
DERIVATIONS OF KEY FORMULAS 895–904
SKILLS REVIEW HANDBOOK 905–939
Real Numbers 905–913 Operations with Signed Numbers • Converting Decimals, Fractions, andPercents • Calculating Percents • Least Common Denominator • WritingRatios and Solving Proportions • Significant Digits • Scientific Notation
Geometry 914–923 Perimeter, Area, and Volume • Triangle Relationships • Symmetry •Transformations • Similar Figures
Logical Reasoning 924–929 Logical Argument • If-Then Statements • Counterexamples •Justify Reasoning
Problem Solving 929–932 Translating Phrases into Algebraic Expressions • Additional Problem Solving Strategies
Graphing 933–936 Points in the Coordinate Plane • Bar, Circle, and Line Graphs
Algebra 936–939 Opposites • Multiplying Binomials • Factoring • Least CommonDenominator
EXTRA PRACTICE FOR CHAPTERS 1–14 940–960
TABLES 961–970
Symbols 961 • Measures 962 • Formulas 963–968 • Properties 969–970
MIXED PROBLEM SOLVING 971–984
APPENDICES 985–1000
GLOSSARY 1001–1010
ENGLISH-TO-SPANISH GLOSSARY 1011–1022
INDEX 1023–1041
CREDITS 1043–1044
SELECTED ANSWERS SA1–SA64
▲
Student Resources
xx Contents
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