This section is on learning to use mathematics to model real-life situations.

The following video outlines the general structure and intent of the course up until we cover section 8 (polynomials).

By the end of this section students should be able to:

  • Have an understanding of what a mathematical model is.
  • Know the benefits (and weaknesses) of mathematical models.
  • Be familiar with a basic approach to building a generalize mathematical model.
  • Know (and understand) the types and roles of variables in mathematics.
  • Produce a generalized model given minimal initial information.

Questions we aim to answer...

  • What is Mathematical Reasoning?
  • How do you tell what is important and what is extraneous information?
  • Why are Models useful?
  • How does this apply outside of a classroom?
  • When should you extend to a model, and when should you not?
  • What is the virtue of generalizing?
  • Can you generalize a generalization?