Provide hands-on activities for practice and mastery. Check for understanding of concepts and skills by using relevant standard materials, i.e. worksheets, text problems, workbooks, teacher prepared exercises, etc.
Text problems & worksheets; cyclinder problems
Objective: To develop proficiency in setting up and solving a variety of maximum/minimum problems.
Activity: 1. Students work sample problems in text and teacher-prepared worksheet using a prescribed procedure. 2. Student pairs will use Hungry Jack cylinders made in Quadrant Two Right and seal off the bottom with cardboard and tape. Remembering that the two cylinders have the same lateral area, students will mathematically predict the volume. Using rice or dried beans, they will test and verify their predictions. 3. Each team will bring a sample food can from home. The team task is to design an ideal can to hold a given volume but using the least amount of material for total outer surface area.
Assessment: Completion and correctness of assigned work. In- class quiz to check for understanding.