Quiz (Sections 2.3-2.5)
Unit 2 - Day 10
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
Determine whether (x-k) is a factor of a polynomial
Find and interpret the remainder when dividing a polynomial by (x-k)
Find all solutions of a polynomial, including real and complex
Given one part of a conjugate pair, find the rest of the zeros
Given the zeros and the y-intercept or a point of a polynomial, write the equation in standard form
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.
Consider giving them a table with one zero for a polynomial with all real, rational zeros and a graph with one real root to find the rest of the non-real zeros. This way, you’ll know if they can find the zeros algebraically by dividing. The high-level task is a good example of a higher-order thinking question, but make the constant value “c” or “k” and have them find that. They’ll use the same skills from the high-level task, but it will be less time intensive for the quiz.