Apply Translations, Reflections, and Rotations to Solve Spatial Puzzles: Tangram Transformations
A Tangram is a Chinese geometric puzzle consisting of a square cut into seven pieces that can be arranged to make various other shapes. We’ve put together a math mini-project that challenges students to apply reasoning about translations, reflections, and rotations to calculate the precise transformations made between Tangram figures of their own design.
- This project integrates conceptual, procedural, and strategic knowledge of congruence and transformations as applied to 2D geometric shapes.
- Instead of simply creating a Tangram pattern, students rigorously describe the precise transformations of each individual shape (i.e. triangles, rectangles, and parallelograms) in order to generate their composite Tangram pattern.
- Students also try to follow another student’s transformations and see if they arrive at the same pattern.
Here’s a quick look at what’s included in the downloadable project packet:
- Tangram starting position
- Printable Tangram shapes
- A blank coordinate grid for students to use
- Possible solutions/ideas for Tangram puzzles