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.
Group decides on topic.
Objective: The students will be able to determine their own sinusoid graph.
Activity: The students will work in groups to pick an area of interest to them and find an example of a sinusoid graph. Some suggestions are music, tide tables, temperature over a period of time, moon changes, oscillator, or any other area the student may notice the sinusoid occurring.
Assessment: The students' ability to find a problem.