Part IIA is the first Free Response section of the AP Calculus Exam. This section consists of 2 AB or 2 BC questions requiring the use of a Graphing Calculator. AB1 and BC1 are the same question. AB2 and BC2 are different. Below you will find the solutions to these Free Response Questions in the following order: AB2, AB1/BC1, BC2. In this fashion, we covered AB only questions first, then AB/BC questions and finally BC only questions, ie in order of increasing difficulty.
For over 2 decades, I have been teaching my students to complete this section using a TI89. Most schools still use a TI83 or TI84. These past 2 years, my students have been using a class set of TI nSpire CX CAS graphing calculators that were donated to my classroom via DonorsChoose. Thanx to all my donors, my students are indeed very fortunate!
There are 4 functions a Graphing Calculator needs to perform to be allowed on the AP Exam:
1) Graphing in an arbitrary window,
2) Solving for the roots of an equation,
3) Finding Numerical Derivatives and
4) Finding Definite Integrals.
All of these capabilities are demonstrated in the ScreenCasts listed below using a TI84C, TI92 (similar to TI89) and TI nSpire CX CAS:
2016AB2b) Numerical Root
2016AB2c) Definite Integral
2016AB2d) Definite Integral
2016BC2d) Definite Integral
PS, here's a shot from the traffic jam I hit going home after the graduation!