Unit 5 Test (Topics 5.15.12)
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 1011
Day 12
Day 13
Day 14
All Units
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 a value of c that satisfies the MVT

Analysis of f’ graph to determine relative extrema, points of inflection, intervals of increasing/decreasing, and intervals of concave up/down on f(x)

Justifying an absolute extrema with the Candidates Test

Justifying a relative extrema with the second derivative test (tabular data works great for this!)

Given info about the sign of the first and second derivative of f, choose a possible graph of f(x)

Optimization problem (we kept it pretty basic with a fencing question)

Finding the critical points of an implicit function

Determining if the EVT, IVT, and MVT can be applied for a given function (represented analytically or graphically)
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
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.