Module 1: Historical Counting Systems

Discussion: Logic

Introduction

Assignment: Set Theory Problem Set

Entering Answers for Practice Problems

Assignment: Logic Writing Task

Early Counting Systems

Module 7: Voting Theory

Positional Systems and Bases

Introduction

Conclusion

Preference Ballot Voting

Discussion: Historical Counting Systems

Approval Voting

Assignment: Historical Counting Systems Problem Set

Conclusion

Assignment: Historical Counting Systems Writing Task

Discussion: Voting Theory

Assignment: Exploring the Abacus

Assignment: Voting Theory Writing Task

Module 2: General Problem Solving

Assignment: Electoral College Trouble

Introduction

Module 8: Growth Models

Proportional Relationships and a Bit of Geometry

Introduction

Solving Problems With Math

Linear and Geometric Growth

Conclusion

Logarithms and Logistic Growth

Discussion: Problem Solving Application

Conclusion

Discussion: Application of Geometry

Discussion: Growth Models

Assignment: General Problem Solving Problem Set

Assignment: Growth Models Problem Set

Assignment: General Problem Solving Writing Task

Assignment: Growth Models Writing Task

Assignment: Multi-Step Written Problem

Assignment: Average Daily Balance

Assignment: Geometry Writing Task, Part I

Module 9: Finance

Assignment: Geometry Writing Task, Part II

Introduction

Module 3: Measurement

Simple and Compound Interest

Introduction

Annuities and Loans

US Units of Measurement

Discussion: Finance

Systems and Scales of Measurement

Conclusion

Conclusion

Assignment: Finance Problem Set

Discussion: Measurement

Assignment: Finance Writing Task

Assignment: Unit Conversion

Module 10: Statistics - Collecting Data

Assignment: Measurement Writing Task

Introduction

Module 4: Graph Theory

Data Collection Basics

Introduction

Sampling and Experimentation

Graph Theory Basics

Conclusion

Euler and Hamiltonian Paths and Circuits

Discussion: Collecting Data

Conclusion

Assignment: Collecting Data Problem Set

Discussion: Graph Theory

Module 11: Statistics - Describing Data

Assignment: Euler and Hamiltonian Circuits

Introduction

Assignment: Graph Theory

Representing Data Graphically

Module 5: Fractals

Numerical Summaries of Data

Introduction

Conclusion

Fractal Basics

Discussion: Describing Data

Fractals Generated by Complex Numbers

Assignment: Describing Data Problem Set

Conclusion

Assignment: Describing Data Writing Task

Discussion: Chaos

Module 12: Probability

Assignment: Fractals Generated With Positive Exponents

Introduction

Assignment: Fractals Problem Set

Computing the Probability of an Event

Module 6: Set Theory and Logic

Applications With Probability

Introduction

Conclusion

Set Theory Basics

Discussion: Probability

Logic Basics

Assignment: Probability Problem Set

Analyzing Arguments With Logic

Assignment: Probability Writing Task

Conclusion

Discussion: Final Reflection

Discussion: Set Theory