How to Tell your Asymptote from a Hole in the Graph.

The fifth in the Graphing Calculator / Technology series (The MPAC discussion will continue next week) Seeing discontinuities on a graphing calculator is possible; but you need to know how a calculator graphs to do it. Here’s the story: The number you choose for XMIN becomes the x-coordinate of the (center of) the pixels in the…

Tangent Lines

Second in the Graphing Calculator/Technology series This graphing calculator activity is a way to introduce the idea if the slope of the tangent line as the limit of the slope of a secant line. In it, students will write the equation of a secant line through two very close points. They will then compare their…

Graphing Calculator Use

First in a series.  I am going to (try to) write a series of posts this fall on graphing calculator use in for calculus. Graphing calculators became generally available around 1989 and were made a requirement for use on the AP calculus exams in 1995. The hope was that they would encourage the use of…

Tangents and Slopes

Using the function to learn about its derivative.  In this post we will look at a way of helping students discover the numerical and graphical properties of the derivative and how they can be determined from the graph of the function. These ideas can be used very early, when you are first relating the function…

Flipping (Part 2)

Today our guest blogger continues his discussion of Flipping begun last week. Bobby Barber is a mathematics teacher at Millville Senior High School in Millville, NJ. In these two posts he shares his experiences with Flipping his AP Calculus class. He asks that you reach out with questions, suggestions and stories of your own. Use the comment button at the…