Quiz (Sections 4.54.6)
Unit 4  Day 12
Unit 4
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
Day 8
Day 9
Day 10
Day 11
Day 12
Day 13
Day 14
Day 15
Day 16
Day 17
All Units
Writing a Precalculus Assessment

Include questions in multiple representations (graphical, analytical, tabular, verbal)

Write questions that reflect learning targets and require conceptual understanding

Include multiple choice and short answer or free response questions

Determine scoring rubric before administering the assessment (see below)

Offer opportunities to practice with and without calculators throughout the year
Questions to Include

Identifying amplitude, period, domain, and range from an equation

Identifying a missing coefficient in an equation given a graph

Explaining the range of sine, cosine, secant, and cosecant

Recognizing equivalent equations using reflections and phase shifts

Identifying vertical asymptotes for secant, cosecant, tangent, and cotangent

Selecting an equation with the largest or smallest period (include sine, cosine, and tangent equations in the answer choices)

Given a value of sine or cosine that is not on the unit circle, have students find the sine or cosine of the negative angle, using the idea of even and odd functions.
Grading Tips
Look for more than just correct answers. Give students feedback on their justifications, communication, and mathematical thinking. We recommend that you prepare a rubric for the free response and short answer 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 suggest avoiding questions that include many transformations of secant, cosecant, tangent, and cotangent. While students must understand how to evaluate these functions and know their basic properties, they will not be required to graph complex transformations in AP Calculus.
You may wish to forego the traditional format of a quiz for these topics and have students complete a card sort instead, that matches equations with transformed graphs of all six trigonometric functions or perhaps only sine, cosine, and tangent.