Module 1: Historical Counting Systems

• Early Counting Systems
• Positional Systems and Bases

Module 2: General Problem Solving

• Proportional Relationships and a Bit of Geometry
• Solving Problems With Math

Module 3: Measurement

• US Units of Measurement
• Systems and Scales of Measurement

Module 4: Graph Theory

• Graph Theory Basics
• Euler and Hamiltonian Paths and Circuits

Module 5: Fractals

• Fractal Basics
• Fractals Generated by Complex Numbers

Module 6: Set Theory and Logic

• Set Theory Basics
• Logic Basics
• Analyzing Arguments With Logic

Module 7: Voting Theory

• Preference Ballot Voting
• Approval Voting

Module 8: Growth Models

• Linear and Geometric Growth
• Logarithms and Logistic Growth

Module 8QR: Modeling Growth

• Modeling Basics
• Modeling Linear and Exponential Growth

Module 9: Finance

• Simple and Compound Interest
• Annuities and Loans

Module 9QR: Financial Literacy

• Savings and Interest
• Annuity and Loan Calculators

Module 10: Statistics: Collecting Data

• Data Collection Basics
• Sampling and Experimentation

Module 11: Statistics: Describing Data

• Representing Data Graphically
• Numerical Summaries of Data

Module 11QR: Statistical Thinking

• Descriptive Statistics
• Data Exploration

Module: 12: Probability

• Computing the Probability of an Event
• Applications With Probability