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| Problem Solving | |
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| Inductive and Deductive Reasoning | |
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| Investigation: The Game of Sprouts | |
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| Problem-Solving Strategies | |
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| Investigation: Routes on a Probability Demonstrator | |
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| Problem Solving Using Sets | |
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| Investigation: Voting Systems | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Logic and Its Applications | |
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| Logic Statements and Quantifiers | |
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| Investigation: Switching Networks | |
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| Truth Tables and Applications | |
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| Investigation: Switching Networks-Part II | |
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| The Conditional and Related Statements | |
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| Investigation: Logic Gates | |
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| Arguments | |
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| Investigation: Fallacies | |
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| Euler Diagrams | |
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| Investigation: Using Logic to Solve Puzzles | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Algebraic Models | |
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| First-Degree Equations and Formulas | |
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| Investigation: Body Mass Index | |
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| Rate, Ratio, and Proportion | |
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| Investigation: Earned Run Average | |
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| Percent | |
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| Investigation: Federal Income Tax | |
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| Direct and Inverse Variation | |
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| Investigation: Gears and Pulleys | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Measurement and Geometric Models | |
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| The Metric System | |
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| Investigation: Electrical Energy | |
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| The U.S. Customary System | |
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| Investigation: Energy | |
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| Basic Concepts of Euclidean Geometry | |
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| Investigation: Preparing a Circle Graph | |
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| Perimeter and Area of Plane Figures | |
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| Investigation: Slicing Polygons into Triangles | |
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| Properties of Triangles | |
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| Investigation: Topology | |
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| Volume and Surface Area | |
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| Investigation: Water Displacement | |
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| Introduction to Trigonometry | |
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| Investigation: Approximating the Values of Trigonometric Functions | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Linear Models | |
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| Rectangular Coordinates and Functions | |
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| Investigation: Dilations of a Geometric Figure | |
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| Properties of Linear Functions | |
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| Investigation: Negative Velocity | |
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| Finding Linear Models | |
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| Investigation: A Linear Business Model | |
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| Linear Regression and Correlation | |
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| Investigation: An Application of Linear Regression | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Nonlinear Models | |
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| Introduction to Nonlinear Functions | |
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| Investigation: Reflective Properties of a Parabola | |
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| Exponential Functions | |
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| Investigation: Chess and Exponential Functions | |
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| Logarithmic Functions | |
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| Investigation: Benford's Law | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| The Mathematics of Finance | |
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| Simple Interest | |
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| Investigation: Day-of-the-Year Table | |
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| Compound Interest | |
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| Investigation: Consumer Price index | |
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| Credit Cards and Consumer Loans | |
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| Investigation: Leasing Versus Buying a Car | |
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| Stocks, Bonds, and Mutual Funds | |
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| Investigation: Treasury Bills | |
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| Home Ownership | |
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| Investigation: Home Ownership Issues | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Probability and Statistics | |
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| Counting Methods | |
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| Investigation: Choosing Numbers in Keno | |
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| Introduction to Probability | |
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| Investigation: Complement of an Event and Sharing Birthdays | |
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| Measures of Central Tendency | |
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| Investigation: Linear Interpolation and Animation | |
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| Measures of Dispersion | |
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| Investigation: A Geometric View of Variance and Standard Deviation | |
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| Measures of Relative Position | |
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| Investigation: Stem-and-Leaf Diagrams | |
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| Normal Distributions | |
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| Investigation: Cut-Off Scores | |
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| Inferential Statistics | |
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| Investigation: A Fair Die? | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Apportionment and Voting | |
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| Introduction to Apportionment | |
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| Investigation: Apportioning the 1790 House of Representatives | |
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| Introduction to Voting | |
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| Investigation: Variations of the Borda Count Method | |
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| Weighted Voting Systems | |
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| Investigation: Blocking Coalitions and the Banzhaf Power Index | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| The Mathematics of Graphs | |
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| Traveling Roads and Visiting Cities | |
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| Investigation: Pen-Tracing Puzzles | |
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| Efficient Routes | |
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| Investigation: Extending the Greedy Algorithm | |
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| Map Coloring and Graphs | |
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| Investigation: Modeling Traffic Lights with Graphs | |
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| Chapter Summary | |
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| Review Exercises | |
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| Chapter Test | |
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| Solutions to Check Your Progress Problems | |
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| Answers to Selected Exercises | |
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| Index | |
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| Web Appendix: Algebra Review (Available only online at this textbook's Online Study Center at: hmco.college.com/pic/aufmannMTQR.) | |