Under Revision starting October 16, 2018

Resources Print and online information

Graphing Calculator Notes for AP Calculus

**Thoughts on Grading and Scaling**

On Scaling Also see “Easier” Exams (7-11-2014)

The Unknown Thing – Why we use *x – A TED Talk. *

Absolutely Thoughts on Absolute Value

Show Me the Math! Was math invented or discovered?

Inequalities solving inequalities without all the arithmetic

Amortization Find your monthly payment of a loan. – An application of geometric series (for BC classes)

**Continuity**

### Continuity The definition of continuity.

Continuity Should continuity come before limits?

From One Side or the Other One-sided limits and one-sided differentiability

How to Tell Your Asymptote from a Hole in the Graph From the technology series. Showing holes and asymptotes on a graphing calculator.

Fun with Continuity Defined everywhere and continuous nowhere. Continuous only at a single point.

Theorems The Intermediate Value Theorem (IVT) and suggestions on teaching theorems.

Intermediate Weather Using the IVT

Right Answer – Wrong Question Continuity or continuity “on its domain”?

Right Answer – Wrong Question. What does “Continuous on its domain” mean.

Far Out A fun limit, but best saved until after students can find maximum values and points of inflection.

**Limits**

In an ideal world, I would like to have all students study limits in their pre-calculus course and know all about them when they get to calculus. Certainly, this would be better than teaching how to calculate derivatives in pre-calculus (after all derivatives are calculus, not pre-calculus).

Limits are the foundation of the calculus. Continuity, an important property of functions, depends on limits. All derivatives and all definite integrals are limits. For AP Calculus students need a good intuitive understanding of limits, what they mean, and how to find them The formal (delta-epsilon) definition is not tested and need not be taught, however, do not feel that you have to avoid it. If your students can handle it, let them try.

**Theorems****, Definitions, and Logic **

Revised and updated October 19, 2018.