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

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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

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Grading Tips

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. 

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Reflections

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.