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 make own rule of correspondence and five ordered pairs.

Objective: To allow students to personalize the material.

Activity: Students make up their own rule of correspondence. From that rule they must generate five ordered pairs. The students can either hand their worksheets to a partner or the teacher can collect them and make one large worksheet for the next class.

Assessment: Accuracy of ordered pairs based on student's chosen rules.