# Riemann Sum & Table Problems (Type 5)

For updated information for the special 2020 exams click here. AP  Questions Type 5: Riemann Sum & Table Problems 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…

# Area and Volume Problems (Type 4)

For updated information for the special 2020 exams click here. AP Type Questions 4: Area and Volume Given equations that define a region in the plane students are asked to find its area, the volume of the solid formed when the region is revolved around a line, and/or the region is used as a base…

# Graph Analysis Questions (Type 3)

For updated information for the special 2020 exams click here. AP  Questions Type 3: 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 with…

# Linear Motion (Type 2)

For updated information for the special 2020 exams click here. AP  Questions Type 2: Linear Motion We continue the discussion of the various type questions on the AP Calculus Exams with linear motion questions. “A particle (or car, person, or bicycle) moves on a number line ….” These questions may give the position equation, the velocity…

# Rate & Accumulation (Type 1)

For updated information for the special 2020 exams click here. 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. A list of all…

# 2019 CED Unit 8: Applications of Integration

This unit seems to fit more logically after the opening unit on integration (Unit 6). The Course and Exam Description (CED) places Unit 7 Differential Equations before Unit 8 probably because the previous unit ended with techniques of antidifferentiation. My guess is that many teachers will teach Unit 8: Applications of Integration immediately after Unit…

# Type 4 Questions: Area and Volume Problems

Given equations that define a region in the plane students are asked to find its area, the volume of the solid formed when the region is revolved around a line, and/or the region is used as a base of a solid with regular cross-sections. This standard application of the integral has appeared every year since…