Quiz (Sections 6.1-6.3)
Unit 6 - Day 4
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
Open Middle Task
Solving a nonlinear system algebraically
Writing a nonlinear system that has a particular solution
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.
Today’s quiz was a group checkpoint. We wanted students to reason through the open middle task and have discussions with group members. Since the open middle task incorporated all the content we’ve learned about linear systems, the final two questions on our assessment pertained to nonlinear systems: solving them algebraically and thinking once more about what it means for an ordered pair to be a solution to a system.