The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the Table of Contents.

Module 1: Problem Solving

• Why It Matters: General Problem Solving
• Sequences
• Counting
• Percents
• Introduction to Proportional Relationships
• Proportions and Rates
• Introduction to Solving Problems with Math
• Problem Solving and Estimating
• Putting It Together: General Problem Solving

Module 2: Set Theory

• Introduction to Set Theory Basics
• Set Theory
• Union, Intersection, and Complement
• Cardinality

Module 3: Logic

• Why It Matters: Logic
• Introduction to Logic Basics
• Boolean Logic
• Truth Tables
• DeMorgan’s Laws
• Negating Statements
• Arguments
• Logical Fallacies in Common Language
• Putting It Together: Set Theory and Logic

Module 4: Statistics

• Introduction to Representing Data Graphically
• Presenting Quantitative Data Graphically
• Presenting Categorical Data Graphically
• Introduction to Numerical Summaries of Data
• Measures of Central Tendency
• Measures of Variation
• Introduction to the Normal Distribution
• The Standard Normal Distribution

Module 5: Probability

• Why It Matters: Probability
• Introduction to Probability Topics
• Basic Concepts
• Types of Events
• Conditional Probability
• Calculating the Odds of an Event
• Putting It Together: Probability

Module 6: Geometry

• Why It Matters: Geometry
• Using Properties of Angles to Solve Problems
• Using Linear, Square, and Cubic Measure Appropriately
• Using the Properties of Triangles to Solve Problems
• Using the Properties of Rectangles to Solve Problems
• Using the Properties of Circles to Solve Problems
• Finding the Area of Irregular Figures
• Finding the Volume and Surface Area of Rectangular Solids
• Finding the Volume and Surface Area of a Sphere
• Finding the Volume and Surface Area of a Cylinder
• Finding the Volume of a Cone
• Summary: Solving Problems Using Volume and Surface Area
• Putting It Together: Geometry