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.
Design maximum/minimum problem that is real in their lives.
Objective: To develop a project applying what has been learned.
Activity: 1. Working in teams, students will design a maximum/minimum problem that exists in their own experience. For example, the SGA wants to sell tickets to the faculty talent show to groups to get the most people to attend, and also to make the most money. If they give a discount of 20ยข for each number of tickets sold over 10 tickets with a single ticket price of $5.00, how many must be sold to maximize profit? 2. Students will write to a major can company to find out how they do or do not use the "ideal can" and what factors determine the size of the can that they do use.
