Unit 5 Test (Topics 5.1-5.12)
Unit 5 - Day 14
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 a value of c that satisfies the MVT
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Analysis of f’ graph to determine relative extrema, points of inflection, intervals of increasing/decreasing, and intervals of concave up/down on f(x)
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Justifying an absolute extrema with the Candidates Test
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Justifying a relative extrema with the second derivative test (tabular data works great for this!)
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Given info about the sign of the first and second derivative of f, choose a possible graph of f(x)
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Optimization problem (we kept it pretty basic with a fencing question)
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Finding the critical points of an implicit function
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Determining if the EVT, IVT, and MVT can be applied for a given function (represented analytically or graphically)
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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
We used two old FRQ questions from previous AP tests (with slight modifications) for our free response questions (2018 AB5 and 2017 AB3 parts b and d). The parts that students struggled with most were those requiring L’hospital’s rule and evaluating the given function in the Candidates Test (unit circle knowledge required!)
Students have improved a lot throughout this unit in their justifications. Even when arithmetic errors were made, many correct justifications were given for absolute extrema, relative extrema, points of inflection, etc.