Capstone Projects

Each school year in May after my students take their AP exam, I challenge them to complete a capstone project that reflects all of their accumulated skill as a student mathematician.

This project consists of a paper, a product, and a presentation. I encourage my students to enjoy investigating a topic of their choice being as creative and thoughtful as possible. Their project must have these three components, but other it is totally up to the student to determine how to fulfill the rubric which is posted below.

1. A creative product developed by you that is relevant to your topic and adds to the project in a meaningful way.
2. A 3-5 page paper that provides the background information and details about your topic that might not fit into you presentation or product. Your paper must satisfy these four requirements:
3. A 3 minute presentation to the class about your project that is engaging, relevant to your topic, and informative.

I'm proud to post a few of the best projects from 2019 below. My students really blew me away this year with the creativity, depth, and clarity of their projects. Follow the links to see my students' amazing work.

Evelyn C. "PID Controllers: Theory and Applications"

Alek B. "The Science of Fluid Dynamics"

Rebecca C. "Sand Accumulation"

Jay H. "The Derivative"

Clarice H. "Logic Gates and Boolean Algebra"

Tyler J. "The Lorenz Attractor: Dynamical Systems and Chaos Theory"

Kai M. "Proving Euler’s Identity"

Jack P. "Gӧdel’s Incompleteness Theorems"

Mia P. "Dance Under the Curve"

Charlotte S. "Properties of Basic and Complex Fractals"