Type 5: Table Questions

Tables may be used to test a variety of ideas in calculus including analysis of functions, accumulation, theory and theorems, and position-velocity-acceleration, among others. Numbers and working with numbers is part of the Rule of Four and table problems are one way this is tested. This question often includes an equation in a  latter part of the…

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Type 3 Questions: Graph Analysis

The long name is “Here’s the graph of the derivative, tell me things about the function.” Students are given either the equation of the derivative of a function or a graph identified as the derivative of a function but no equation is given. It is not expected that students will write the equation (although this…

Type 2 Questions: Linear Motion

We continue the discussion of the various type questions on the AP Calculus Exams with linear motion questions. “A particle (or car, or bicycle) moves on a number line ….” These questions may give the position equation, the velocity equation (most often), or the acceleration equation of something that is moving, along with an initial…

Type 1 Questions: Rate and Accumulation

The Free-response Questions There are ten general categories of AP Calculus free-response questions. As I’ve done in part years, I will consider each individually over the next few weeks posting on Tuesdays and Fridays. These will be updates of last year’s posts. Here is the list of the types and the schedule: Tuesday March 6 –…

Resources for Reviewing

This is a list of links to some resources for reviewing. How, Not Only to Survive, but to Prevail… –  Notes and advice for your students. You may copy and duplicate this for your class. Calculator Use on the AP Exams – hints and instruction. Ted Gott’s Free-response Index – an excel spreadsheet searchable by…

AP Exam Review

It will soon be time to start reviewing for the AP Calculus Exams. So, it’s time to start planning your review. For the next weeks through the beginning of April I will be posting notes for reviewing. There are not new; versions have been posted for the last few years and these are only slightly…