Core-Plus Mathematics: Contemporary Mathematics in Context, Course 1

Cover......Page 1
Overview of Course 1......Page 6
Contents......Page 9
Preface......Page 13
Acknowledgments......Page 16
To the Student......Page 17
Unit 1: Patterns of Change......Page 19
Lesson 1: Cause and Effect......Page 20
Investigation 1:  Physics and Business at Five Star Amusement Park......Page 22
Investigation 2: Taking Chances......Page 26
Investigation 3: Trying to Get Rich Quick......Page 29
On Your Own......Page 32
Lesson 2: Change Over Time......Page 44
Investigation 1: Predicting Population Change......Page 45
Investigation 2: Tracking Change with Spreadsheets......Page 50
On Your Own......Page 54
Lesson 3: Tools for Studying Patterns of Change......Page 65
Investigation 1: Communicating with Symbols......Page 66
Investigation 2: Quick Tables, Graphs, and Solutions......Page 70
Investigation 3: The Shapes of Algebra......Page 74
On Your Own......Page 77
Lesson 4: Looking Back......Page 87
Unit 2: Patterns in Data......Page 91
Lesson 1: Exploring Distributions......Page 92
Investigation 1: Shapes of Distributions......Page 94
Investigation 2: Measures of Center......Page 101
On Your Own......Page 108
Lesson 2: Measuring Variability......Page 121
Investigation 1: Measuring Position......Page 122
Investigation 2: Measuring and Displaying Variability: The Five-Number Summary and Box Plots......Page 126
Investigation 3: Identifying Outliers......Page 131
Investigation 4: Measuring Variability: The Standard Deviation......Page 134
Investigation 5: Transforming Measurements......Page 142
On Your Own......Page 147
Lesson 3: Looking Back......Page 162
Unit 3: Linear Functions......Page 167
Lesson 1: Modeling Linear Relationships......Page 168
Investigation 1: Getting Credit......Page 169
Investigation 2: Symbolize It......Page 175
Investigation 3: Fitting Lines......Page 179
On Your Own......Page 186
Lesson 2: Linear Equations and Inequalities......Page 204
Investigation 1: Who Will Be the Doctor?......Page 206
Investigation 2: Using Your Head......Page 209
Investigation 3: Using Your Head . . . More or Less......Page 212
Investigation 4: Making Comparisons......Page 215
On Your Own......Page 219
Lesson 3: Equivalent Expressions......Page 232
Investigation 1: Different, Yet the Same......Page 233
Investigation 2: The Same, Yet Different......Page 237
On Your Own......Page 242
Lesson 4: Looking Back......Page 250
Unit 4: Vertex-Edge Graphs......Page 255
Lesson 1: Euler Circuits: Finding the Best Path......Page 256
Investigation 1: Planning Efficient Routes......Page 257
Investigation 2: Making the Circuit......Page 261
Investigation 3: Graphs and Matrices......Page 265
On Your Own......Page 268
Lesson 2: Vertex Coloring: Avoiding Conflict......Page 284
Investigation 1: Building a Model......Page 285
Investigation 2: Scheduling, Mapmaking, and Algorithms......Page 288
On Your Own......Page 294
Lesson 3: Looking Back......Page 304
Unit 5: Exponential Functions......Page 307
Lesson 1: Exponential Growth......Page 308
Investigation 1: Counting in Tree Graphs......Page 309
Investigation 2: Getting Started......Page 312
Investigation 3: Compound Interest......Page 316
Investigation 4: Modeling Data Patterns......Page 319
Investigation 5: Properties of Exponents I......Page 322
On Your Own......Page 325
Lesson 2: Exponential Decay......Page 340
Investigation 1: More Bounce to the Ounce......Page 341
Investigation 2: Medicine and Mathematics......Page 344
Investigation 3: Modeling Decay......Page 347
Investigation 4: Properties of Exponents II......Page 350
Investigation 5: Square Roots and Radicals......Page 353
On Your Own......Page 356
Lesson 3: Looking Back......Page 373
Unit 6: Patterns in Shape......Page 379
Lesson 1: Two-Dimensional Shapes......Page 380
Investigation 1: Shape and Function......Page 381
Investigation 2: Congruent Shapes......Page 387
Investigation 3: Reasoning with Shapes......Page 392
Investigation 4: Getting the Right Angle......Page 396
On Your Own......Page 401
Lesson 2: Polygons and Their Properties......Page 416
Investigation 1: Patterns in Polygons......Page 417
Investigation 2: The Triangle Connection......Page 422
Investigation 3: Patterns with Polygons......Page 425
On Your Own......Page 430
Lesson 3: Three-Dimensional Shapes......Page 442
Investigation 1: Recognizing and Constructing Three-Dimensional Shapes......Page 443
Investigation 2: Visualizing and Sketching Three-Dimensional Shapes......Page 450
Investigation 3: Patterns in Polyhedra......Page 453
Investigation 4: Regular Polyhedra......Page 457
On Your Own......Page 461
Lesson 4: Looking Back......Page 474
Unit 7: Quadratic Functions......Page 479
Lesson 1: Quadratic Patterns......Page 480
Investigation 1: Pumpkins in Flight......Page 481
Investigation 2: Golden Gate Quadratics......Page 487
Investigation 3: Patterns in Tables, Graphs, and Rules......Page 491
On Your Own......Page 498
Lesson 2: Equivalent Quadratic Expressions......Page 509
Investigation 1: Finding Expressions for Quadratic Patterns......Page 510
Investigation 2: Reasoning to Equivalent Expressions......Page 513
On Your Own......Page 517
Lesson 3: Solving Quadratic Equations......Page 528
Investigation 1: Solving ax^2 + c = d and ax^2 + bx = 0......Page 529
Investigation 2: The Quadratic Formula......Page 533
On Your Own......Page 536
Lesson 4: Looking Back......Page 544
Unit 8: Patterns in Chance......Page 549
Lesson 1: Calculating Probabilities......Page 550
Investigation 1: Probability Distributions......Page 551
Investigation 2: The Addition Rule......Page 554
On Your Own......Page 560
Lesson 2: Modeling Chance Situations......Page 569
Investigation 1: When It's a 50-50 Chance......Page 570
Investigation 2: Simulation Using Random Digits......Page 576
Investigation 3: Using a Random Number Generator......Page 583
Investigation 4: Geometric Probability......Page 586
On Your Own......Page 589
Lesson 3: Looking Back......Page 604
Glossary/Glosario......Page 608
Index of Mathematical Topics......Page 624
Index of Contexts......Page 633