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