Writing an AP Calc Assessment
Include calculator and non-calculator items
Include multiple choice and free response items
Write questions that reflect learning targets and success criteria
Determine scoring rubric for FRQs before administering the assessment (see below)
Questions to Include
Interpretation of a derivative in context using correct units
Particle motion questions about when a particle is at rest, slowing down, or speeding up
Interpretation of a velocity graph
Rate In/Rate Out problem
FRQ where the given function represents a quantity
FRQ where the given function represents a rate
We recommend that you prepare a rubric for the free response items before you begin grading your quizzes or tests. Know what information is necessary for a complete and correct response and award points when a student presents that information. Many of the “Why did I get marked down?” questions are eliminated when you share the components that earn points
We strongly suggest modifying released free response questions from previous exams to provide the stem for the quiz question. Students must learn how to interpret functions involving strange contexts and be able to carefully read an extended question stem.
Quizzes are a great way to continually emphasize multiple representations. Functions represented in tables and graphs are a great alternative to functions represented in analytical form (as an equation).
Units are critical! Students must use proper units in their final answer, especially when interpreting a derivative. Similarly, look for precise language. Vague references to “the graph”, “the function”, or “the derivative” will not earn points on the AP exam.