Encourage tinkering with ideas, relationships, connections. Set up situations where students have to find information not readily available in school texts. Provide opportunity for students to design open-ended explorations of the concept. Provide multiple options so students can plan a unique "proof" of learning.

Students compose quizzes.

Objective: That the students further deepen their understanding of the concepts and skills taught by having them assume the role of teacher in composing a quiz for fellow students.

Activity: Divide the class into groups of four. Have each group design a quiz for their fellow students. Encourage them to be as creative as possible in designing their quiz, i.e., don't have all the functions to invert by linear functions. Take the best parts (perhaps all) from the different quizzes and combine them into a test to be given to the entire class. (At this point, the teacher can ditto all the groups' quizzes, and let all the students examine them. Then, if one question is not understood, the student who wrote it can teach it to the class. After all, the purpose is that ALL the students understand inverse functions. What better way than to design a test and to teach. Also, the "product" of teaching shifts them to understanding, and the test does not become an end in itself.)

Assessment: The quality of the questions and the test results