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Twisted Tesselations
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In this activity (on pages 41-47 of PDF), learners explore tesselating geometric patterns (repeated shapes, similar to the art of M.C. Escher).
Tinkering with Tops
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In this activity, learners explore the history, design and motion of spinning tops. Learners work in teams of "engineers" to design and build their own tops out of everyday items.
The Four-Square Quilt
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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.