At a recent stop at the Citadel Outlets, I came across a beautifully tiled wall by the water fountain:
What a great exercise it would be for a child to figure out how to “model” this wall with only equilateral triangles and squares. This is exactly the kind of thinking that the writers of the Common Core Math standards illustrate in the draft of their Geometry Progression for Grades K-6, pp. 7, 11-12. Geometiles™ were used for the modeling task, as shown above.