Quiz Topics 5.15.4
Unit 5  Day 5
Unit 5
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Day 6
Day 7
Day 8
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Day 1011
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Writing an AP Calc Assessment

Include calculator and noncalculator 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

Finding values of c that satisfy the Mean Value Theorem on a closed interval of a given function

Interpreting the solution to a Mean Value Theorem result

Identifying intervals of increasing/decreasing and relative extrema from a graph of f’(x)

Sketching a graph that meets requirements for having critical points, relative and absolute extrema at certain xvalues

Justifying whether the conditions of the Extreme Value Theorem or Mean Value Theorem have been met

Question requiring the candidates test to identify absolute and relative extrema

Identifying intervals of increasing/decreasing and relative extra from complex equations using a calculator
Grading Tips
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.
Reflections

Our students struggled the most with writing good justifications for their answers. A wide variety of reasons were given but only a few would meet College Board requirements. Saying that the derivative crosses the xaxis is NOT a justification for relative extrema that suffices on the AP test.

To prepare for this quiz, consider having students make a justification cheat sheet, where a phrase is written in the lefthand column, and its proper justification is written on the righthand column. Students can fold the paper and quiz themselves. (Ex: Statement: “f(x) has a critical point at x=c” Justification: “f’(c)=0 or undefined”)