Unit 5 Test (Sections 5.15.8)
Unit 5  Day 17
Unit 5
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
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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
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Questions to Include

Given a set of conditions, determine whether Law of Sines or Law of Cosines is more appropriate

Describe the key features of the polar graph given an equation

Find the magnitude and direction of a vector

Identify similarities between vectors and polar coordinates and parametric equations

Solve a triangle using Law of Sines and Law of Cosines

Convert ordered pairs and equations from rectangular to Cartesian and vice versa

Produce or identify equivalent polar points

Eliminate the parameter to convert parametric equations into Cartesian equations
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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.
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Reflections
Our students found success on this test, even when they are asked to think about the concepts in a new way. Some students still struggled with converting polar and Cartesian points and finding component form of vectors mainly due to sign errors or lack of knowledge about unit circle values. The ambiguous case for the Law of Sines continues to be a challenge for students, though students fared better on this question than on the checkpoint.