Quiz Topics 5.1-5.4
Unit 5 - Day 5
Unit 5
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10-11
Day 12
Day 13
Day 14
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All Units
Writing an AP Calc Assessment
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Include calculator and non-calculator items
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Include multiple choice and free response items
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Write questions that reflect learning targets and success criteria
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Determine scoring rubric for FRQs before administering the assessment (see below)
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Questions to Include
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Finding values of c that satisfy the Mean Value Theorem on a closed interval of a given function
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Interpreting the solution to a Mean Value Theorem result
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Identifying intervals of increasing/decreasing and relative extrema from a graph of f’(x)
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Sketching a graph that meets requirements for having critical points, relative and absolute extrema at certain x-values
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Justifying whether the conditions of the Extreme Value Theorem or Mean Value Theorem have been met
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Question requiring the candidates test to identify absolute and relative extrema
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Identifying intervals of increasing/decreasing and relative extra from complex equations using a calculator
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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.
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Reflections
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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 x-axis is NOT a justification for relative extrema that suffices on the AP test.
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To prepare for this quiz, consider having students make a justification cheat sheet, where a phrase is written in the left-hand column, and its proper justification is written on the right-hand 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”)