Course Contents

Why learn about set theory and logic?

Learning Outcomes

Set Theory Basics

Entering Answers for Practice Problems

Logic Basics

Module 1: Review

Analyzing Arguments With Logic

Why review topics from earlier math classes?*

Discussion: Set Theory

Order of Operations*

Discussion: Logic

Arithmetic With Fractions*

Assignment: Set Theory Problem Set

Properties of Real Numbers*

Assignment: Logic Writing Task

Solve Multi-Step Linear Equations*

Assignment: Electoral College Trouble

Problem Solving*

Putting It Together: Set Theory and Logic

Module 2: Linear Functions

Module 9: Voting Theory

Why learn about linear functions?*

Why learn about voting theory?

Characteristics of Linear Functions and Their Graphs*

Preference Ballot Voting

Equations of Linear Functions*

Approval Voting

Piecewise Linear Functions*

Discussion: Voting Theory

Algebra of Functions*

Assignment: Voting Theory Writing Task

Module 3: Exponents and Scientific Notation

Putting It Together: Voting Theory

Why learn about exponents?*

Module 10: Finance

Exponent Rules*

Why learn about finance?

Scientific Notation*

Simple and Compound Interest

Module 4: Exponential and Logarithmic Functions

Annuities and Loans

Why learn about exponential and logarithmic functions?*

Discussion: Finance

Logarithmic Functions*

Assignment: Finance Writing Task

Exponential Functions*

Assignment: Finance Problem Set

Module 5: Exponential and Logarithmic Equations

Putting It Together: Finance

Why learn about exponential and logarithmic equations?*

Module 11: Probability

Properties of Logarithms*

Why learn about probability?

Exponential and Logarithmic Equations*

Computing the Probability of an Event

Exponential Growth and Decay*

Applications With Probability

Module 6: Counting Systems and Geometry

Discussion: Probability

Why learn about counting systems?

Assignment: Probability Problem Set

Early Counting Systems

Assignment: Probability Writing Task

Positional Systems and Bases

Putting It Together: Probability

Proportional Relationships and a Bit of Geometry

Additional Content and Resources

Solving Problems With Math

Discussion: Final Reflection

Discussion: Historical Counting Systems

Why It Matters: Graph Theory

Assignment: Historical Counting Systems Problem Set

Graph Theory Basics

Assignment: Historical Counting Systems Writing Task

Euler and Hamiltonian Paths and Circuits

Assignment: Exploring the Abacus

Putting It Together: Graph Theory

Why It Matters: General Problem Solving

Discussion: Graph Theory

Discussion: Application of Geometry

Assignment: Graph Theory

Assignment: Geometry Writing Task, Part I

Assignment: Euler and Hamiltonian Circuits

Assignment: Geometry Writing Task, Part II

Why It Matters: Fractals

Discussion: Problem Solving Application

Fractal Basics

Assignment: General Problem Solving Problem Set

Fractals Generated by Complex Numbers

Assignment: General Problem Solving Writing Task

Putting It Together: Fractals

Assignment: Multi-Step Written Problem

Discussion: Chaos

Putting It Together: General Problem Solving

Assignment: Fractals Problem Set

Module 7: Measurement

Assignment: Fractals Generated With Positive Exponents

Why learn about measurement?

Why It Matters: Growth Models

U.S. Units of Measurement

Assignment: Growth Models Problem Set

Systems and Scales of Measurement

Assignment: Growth Models Writing Task

Discussion: Measurement

Assignment: Average Daily Balance

Assignment: Measurement Writing Task

Assignment: Collecting Data Problem Set

Assignment: Unit Conversion

Discussion: Describing Data

Putting It Together: Measurement

Assignment: Describing Data Problem Set

Module 8: Set Theory and Logic

Assignment: Describing Data Writing Task