Figure 2

Discovering the Derivative

Discovering the Derivative with a Graphing Calculator This is an outline of how to introduce the idea that the slope of the line tangent to a graph can be found, or at least approximated, by finding the slope of a line through two very close points in the graph.  It is a set of graphing calculator…

Calculus1

Using AP Questions All Year

This appeared as a reply to a question on the AP Calculus Community bulletin board on August 1, 2015. It has been revised for the blog.  AP Calculus teachers find it helpful to use actual AP free-response (FR) and multiple-choice (MC) questions on their exams and for homework throughout the year. Early in the year, it is…

Terry Tao

August 2015

I know a lot of you start back to school later this month. Having taught most of my career in New York I’m used to school starting after Labor Day (and ending in late June six weeks after the AP exams), so I still think of August as summer vacation. Whenever you start, I hope…

$latex y=bx{{e}^{bx}}$ 
b = -5 in blue, b = -1 in red, b = 2 in green and b = 4 in magenta.

Good Question 5 – 1998 AB2/BC2

Continuing my occasional series of some of my favorite teaching questions, today we look at the 1998 AP Calculus exam question 2. This question appeared on both the AB and BC exams. I use this problem to illustrate two very different questions that come up almost every time I lead a workshop or an AP Summer…