Unit 4 Test
Unit 4  Day 17
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

Evaluating with Right Triangle Trig  find ratios from a right triangle, missing angles when given the sides, missing sides when given the angle and another side, etc.

The Unit Circle  evaluate expressions using all six trigonometric ratios for angles on the unit circle; include coterminal angles greater than 2pi and less than 2pi

Graph all six trigonometric functions with transformations; identify key feature of each graph, including asymptotes for secant, cosecant, tangent, and cotangent

Evaluate expressions with inverse trig

When given a ratio, use inverse trig to find the other ratios

Trigonometric Modeling: interpret period and amplitude in context
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
Students will struggle with the domain and range of the inverse trig functions so make sure you ask a mix of simple and challenging questions. Specifically something like arccos(cos(4π/3)),where the inverse does not undo the original, but the answer is actually (2π/3). Have students identify equations from graphs as well as graph 12 periods of a few of the 6 functions. Consider having a calculator active section and a calculator inactive section so that students must show their knowledge of the unit circle.