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
Questions to Include
Items to reflect all representations: numerical, graphical, verbal, analytical
Riemann sum calculations and interpretations of solutions in the context of the problem
Approximations of integral values using trapezoidal sums, RAM, or geometric regions
Regions above and below the x-axis which require students to consider signed areas
Scaffolded free response question(s)
An extension question to challenge high-achieving students
Use scoring techniques as similar to the AP Scoring Guidelines as possible. For example: if students are asked to find Riemann sums using four subintervals, consider awarding points for 7 out of 8 correct terms as well as a perfect summation expression. Although we had not yet formally introduced the Fundamental Theorem of Calculus, a few students used antiderivatives to evaluate some integrals instead of using geometric formulas as we had intended. Be prepared to adjust your rubric when students present unique solution methods.
Remember: 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.
Our quiz consisted of 4 multiple choice questions, 3 extended response (FRQ) questions, and 3 graphical interpretation/numerical questions. Students were required to respond numerically, analytically, and verbally.
As student work was evaluated, we discovered content and skills that need to be revisited --- as well as student phrasing that needs to become more precise for success on the AP Test.