Integrals key project

This project (pdf here) is designed to be presented to students at the end of the unit on integrals. It is a long-term project which will enable students to demonstrate what they have learned and apply it. Beyond Calculus, this project will also improve students' sense and understanding of geometry, and their skills with graphing softwares. All together, it requires about 3 lessons (75 minutes each) and additional work at home.

The idea is to design a key that fits given requirements. Then graph each part of the key on a computer software. And finally create the key itself to scale. All requirements about the key are based on an imaginary key lock that the key should fit in. In particular, in terms of Calculus, students will need to decide on the shape of their key and use integrals to find volumes of revolution. After the work is done, students will have to write a reflection about the process of creating the key and show what they have learned.

                                                  (download pdf here)