Curriculum Resources: Math Connections

Lesson 1: Problem Solving and Critical Thinking

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For more about Archimedes:

  • To learn about the legend of Archimedes and his bathtub discovery of the solution to the problem of Hiero’s golden crown, watch this video
  • To find out about Archimedes’ design of the floating palace “Syracusa” and his discovery of the Principle of Buoyancy, watch this video.
  • To learn what Archimedes meant by “Give me a place to stand, and I shall move the Earth,” watch this video.

For fun and deeper exploration:

Real problem-solving in the news

Lesson 2: Set Theory

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

Lesson 3: Number Theory and the Real Number System

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For additional inspiration for the Fibonacci Inspiration activity, check out these videos:

For fun and deeper exploration:

Lesson 4: Algebra: Equations and Inequalities

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

Lesson 5: Algebra: Graphs, Functions, Linear Functions, and Linear Systems

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

  • Now that you know a bit about correlation, it’s important to understand that correlation does not imply causation. In other words, just because two variables are related does not mean that one of the variables caused the other. This is a common logical fallacy that leads to invalid conclusions. Check out this Los Angeles Times article that makes the point that correlation does not imply causation. Then to drive the point home, visit the site that inspired the article, Spurious Correlations, to view a variety of amusing graphs showing two completely unrelated variables that just happen to be closely correlated.
Lesson 6: Polynomials, Quadratic Equations, and Quadratic Functions

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

Lesson 7: Personal Finance: Taxes and Interest

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

Lesson 8: Personal Finance: Saving, Investing, and Spending

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

Lesson 9: Measurement

For help and extra practice with the concepts in this chapter:

For more information on the history of the metric debate in the United States.

For fun and deeper exploration:

Lesson 10: Geometry

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

Lesson 11: Counting Methods and Probability Theory

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

Lesson 12: Statistics

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

Learn how statisticians contribute to our world by watching the video “Improving Human Welfare in 2013 International Year of Statistics,” presented by Worldofstatistics.org.

Lesson 13: Logic

Clickable links from the lesson assignments in the Coursebook:

For help and extra practice with the concepts in this chapter:

For fun and deeper exploration:

  • Lewis Carroll
    • Lewis Carroll’s Paradox
    • Lewis Carroll’s book, Symbolic Logic (full text available online through Project Gutenberg)
    • The books The Mathematical Recreations of Lewis Carroll: Pillow Problems and a Tangled Tale by Lewis Carroll and C. L. Dodgson and Lewis Carroll’s Games and Puzzles by Lewis Carroll and Edward WakelingBrain teasers and puzzles
    • Brainden.com has several fantastic pages with brain teasers and logic puzzles. The river crossing puzzles tend to be a student favorite. Try this and this to start, but be sure to explore some of the other pages. Answers are hidden until you click them. Don’t peek until you are sure you are ready to know the answer!
    • Challenge puzzles and problemsBrilliant.org has a section with questions for all levels of logic. Quiz yourself on topics ranging from symbolic logic to games of strategy. 
  • Grid-based logic puzzles
  • Learn about Euler’s Konigsberg Bridges Problem
Final Project

An interview with Andrew Wiles, the mathematician who finally solved Fermat’s Last Theorem in 1993.

Skill-Building Resources
Enrichment Resources

Recommended sites for students ready for an additional challenge:

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