Pythagorean Frame
Hands-on geometric modeling of the Pythagorean Theorem
An educational exploration of the Pythagorean Theorem through an elegant, visual geometric proof and a creative build using photo frames and student images.
Workshop Overview
In this creative workshop, students explore the Pythagorean Theorem through an elegant, visual geometric proof. They then recreate the structure of that proof as a tangible art piece using a photo frame and inner colored panels.
Conceptual Framework
Students work with a custom frame that supports a geometric arrangement representing the relationship a² + b² = c².
Each student receives three identical square photos of themselves. The photos are sized so that the area of one square matches the sum of the areas of the other two, allowing the equation to be experienced as a concrete spatial relationship.
The squares are arranged inside the frame to mirror the proof structure, linking geometric reasoning with creative construction.
Activity Structure
- Students are guided through a visual proof of the Pythagorean Theorem.
- Students assemble a photo frame with inner colored panels.
- Three square photos are placed and arranged to match the geometric proof layout.
- Students reflect on how the arrangement represents a² + b² = c² and take the finished frame home.
Mathematical Mapping
- The frame and panels model a geometric proof.
- Square photo areas represent a², b², and c².
- The final arrangement demonstrates that the two smaller areas combine to equal the larger area.
Learning Outcomes
By the end of the workshop, students will be able to:
- Understand and visualize the Pythagorean Theorem through geometric reasoning.
- Construct a meaningful artifact that reflects the core mathematical idea.
- Connect abstract mathematics to personal identity and aesthetic expression.
Target Group
Grades 6–8 students