To dx or not dx

As exam time nears, teachers become concerned about exactly what to give credit for and what not to give credit for when grading their students’ work on past AP free-response questions. Former Chief Reader Stephen Davis recently posted a note on the grading of a fictitious exam question showing how 2 points might have been…

Sequences and Series (Type 10)

AP Questions Type 10: Sequences and Series (BC Only) The last BC question on the exams usually concerns sequences and series. The question may ask students to write a Taylor or Maclaurin series and to answer questions about it and its interval of convergence, or about a related series found by differentiating or integrating. The…

Polar Equation Questions (Type 9)

AP Questions Type 9: Polar Equations (BC Only) Ideally, as with parametric and vector functions, polar curves should be introduced and covered thoroughly in a pre-calculus course. Questions on the BC exams have been concerned only with calculus ideas related to polar curves. Students have not been asked to know the names of the various…

Other Problems (Type 7)

AP Questions Type 7: Other topics  Any topic in the Course and Exam Description may be the subject of a free-response or multiple-choice question. The topics discussed here are not asked often enough to be classified as a type of their own. The topics listed here have been the subject of full free-response questions or…

Riemann Sum & Table Problems (Type 5)

AP Questions Type 5: Riemann Sum & Table Problems Information given in 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 are part of the Rule of Four and table problems are one way they are tested.…