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| Problem Solving: Strategies and Principles | |
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| Problem Solving | |
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| Inductive and Deductive Reasoning | |
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| Estimation | |
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| Set Theory: Using Mathematics to Classify Objects | |
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| The Language of Sets | |
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| Comparing Sets | |
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| Set Operations | |
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| Survey Problems | |
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| Looking Deeper: Infinite Sets | |
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| Logic: The Study of What's True or False or Somewhere in Between | |
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| Statements, Connectives, and Quantifiers | |
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| Truth Tables | |
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| The Conditional and Biconditional | |
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| Verifying Arguments | |
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| Using Euler Diagrams to Verify Syllogisms | |
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| Looking Deeper: Fuzzy Logic | |
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| Graph Theory (Networks): The Mathematics of Relationships | |
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| Graphs, Puzzles, and Map Coloring | |
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| The Traveling Salesperson Problem | |
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| Directed Graphs | |
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| Looking Deeper: Scheduling Projects Using PERT | |
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| Numeration Systems: Does It Matter How We Name Numbers? | |
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| The Evolution of Numeration Systems | |
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| Place Value Systems | |
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| Calculating in Other Bases | |
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| Looking Deeper: Modular Systems | |
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| Number Theory and the Real Number System: Understanding the Numbers All Around Us | |
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| Number Theory | |
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| The Integers | |
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| The Rational Numbers | |
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| The Real Number System | |
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| Exponents and Scientific Notation | |
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| Looking Deeper: Sequences | |
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| Algebraic Models: How Do We Approximate Reality? | |
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| Linear Equations | |
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| Modeling with Linear Equations | |
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| Modeling with Quadratic Equations | |
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| Exponential Equations and Growth | |
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| Proportions and Variation | |
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| Functions | |
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| Looking Deeper: Dynamical Systems | |
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| Modeling with Systems of Linear Equations and Inequalities: What's the Best Way to Do It? | |
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| Systems of Linear Equations | |
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| Systems of Linear Inequalities | |
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| Looking Deeper: Linear Programming | |
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| Consumer Mathematics: The Mathematics of Everyday Life | |
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| Percent | |
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| Interest | |
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| Consumer Loans | |
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| Annuities | |
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| Amortization | |
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| Personal Finance | |
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| Looking Deeper: The Annual Percentage Rate | |
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| Geometry: Ancient and Modern Mathematics Embrace | |
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| Lines, Angles, and Circles | |
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| Polygons | |
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| Perimeter and Area | |
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| Volume and Surface Area | |
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| The Metric System and Dimensional Analysi | |