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Players take turns adding shapes made of three squares to a grid. They try to fit their shapes on the grid in a way that blocks the other player.

In this activity (on pages 41-47 of PDF), learners explore tesselating geometric patterns (repeated shapes, similar to the art of M.C. Escher).

In this engineering activity, learners explore simple machines and then build cardboard automata using cams.

In this activity, learners repeat patterns in two and three dimensions to create tessellations.

In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.

In this design and physics challenge, learners construct a cylindrical wing, fly it, make modifications, and determine how the changes affect flight patterns.

In this activity, learners arrange triangles together to make patterns to create paper quilts. Learners experiment with arranging the triangles in different ways to make various designs.

In this activity, learners repeat patterns in two and three dimensions to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.

In this group activity, learners make multi-sided polygons with string.