Combinations of Transformations and Tessellations

Warm-up

Apply one transformation to a shape. Ask: What if we apply a second?

Explore

Students apply two or three transformations to a shape and describe the result. Then, experiment with tessellating shapes: squares, triangles, hexagons. Create a simple tessellation using one shape, then try two shapes.

Formalize

Record:

Composition: Apply Transformation 1, then Transformation 2. The result depends on the order. Tessellation: Shapes fit with no gaps. Regular tessellations use regular polygons.

Explain why some shapes tessellate and others don't (angle sum considerations).

Practice

Students apply multiple transformations and create a simple tessellation. Exit ticket: describe the transformations in a tessellation.

Exit ticket

Students apply multiple transformations and create a simple tessellation. Exit ticket: describe the transformations in a tessellation.