Calculus

The Best AP Class to Take

More schools are looking to add Advanced Placement classes, and I applaud the effort. AP classes have a common, challenging curriculum that is similar to what is offered at most top universities. Furthermore, at the end of the year, students and their future colleges get feedback about whether the program offered by their high school was up to par, and whether they learned the material at a college level via the AP test.

Continue reading

Drawing Connections with TI-Nspire Functions vs Derivatives

Recently, I was very honored to have the opportunity to speak at a professional development day at Illinois Central College. The math department their asked me to introduce them to the TI-Nspire, as they are starting to see a significant number of their students show up with the Nspire. In addition to a basic overview of the device, I presented the ICC math department with series of activities I might use in algebra, calculus, and statistics.

Continue reading

TI-Nspire Riemann Sums

In preparation for AP Calculus the other day, I was struggling with how to get the TI-Nspire to work Riemann sums as easily as the TI-84 does, since we typically use a program on the 84. After some time, I had come to the conclusion I’d either have to write a program myself or just accept the fact that it wouldn’t be as simple as it is with the TI-84.

Continue reading

Thoughts from a Pre-AP Calculus Workshop

Kind of a random post here, but I spent Tuesday at a pre-AP Calculus workshop hosted at Triton College in River Grove, IL. My school added AP Calculus a year ago. Obviously, we have been slow to the Advanced Placement party (not sure why the hesitation—definitely not coming from the math department). As a Pre-Calculus teacher, I was very interested to see what sorts of topics the College Board would emphasize in a Pre-AP conference.

Continue reading

Video Lesson: Tables on the TI-84

The table feature allows you to quickly scroll the an x vs. y chart on your TI-84. This can be useful as early as first year algebra for students that are just learning to graph. It’s even more helpful to calculus students using their calculator to help find a limit. The end of the video demonstrates a quick method for using the table’s “ask” feature to help find a limit.

Continue reading

Video lesson: Tables on the TI-Nspire

The table feature allows you to quickly scroll the an x vs. y chart on your TI-Nspire. This can be useful as early as first year algebra for students that are just learning to graph. It’s even more helpful to calculus students using their calculator to help find a limit. The end of the video demonstrates a quick method for using the table’s “ask” feature to help find a limit.

Continue reading

Calculators for the AP Calculus test

A lot of students (and teachers) are surprised to learn that the rules for calculators on the Advanced Placement test are actually a lot different from other standardized tests like the ACT and SAT. The surprising difference is that regardless of whether you are taking AB calculus or BC calculus, the only calculators allowed on the AP test are graphing calculators. That’s right, a simple scientific or four-function calculator is prohibited on the AP test while a TI-89 is perfectly legal.

Continue reading

Video lesson: Definite integrals on the TI-84

Teaching calculus students how to do integration goes way beyond the scope of a short article or video. The basics of taking a definite integral on the TI-84+, however, are pretty straightforward. This video lesson covers how to find a definite integral on a TI-84 plus both within the home screen and within a graph.

Continue reading

Video lesson: Definite integrals on the TI-Nspire

Teaching calculus students how to do integration goes way beyond the scope of a short article or video. The basics of taking a definite integral on the TI-Nspire, however, are pretty straightforward. This video lesson covers how to find a definite integral on a TI-Nspire both within the home screen and within a graph.

Continue reading