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In this math lesson, learners use hinged mirrors to discover that regular polygons are composed of triangles tessellating around a center point.

This simple construction activity teaches the importance of architectural structure. Learners build and test designs for a paper "doghouse" strong enough to hold the weight of a jumbo dog biscuit.

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

Discover geometry by creating shapes from loops of paper. In this activity, paper loops transform to give you totally new structures when you cut them.

Straws and pipe cleaners are terrific materials for building models of pyramids and cubes.

These three short activities challenge groups to fit objects through paper and index cards: "Slots" presents the challenge for one learner to figure out which objects fit through a hole cut by another

In this activity, learners will engineer a new shape and use it to create a new pattern with no wasted space.

In this activity, learners will measure the length of a shadow and use the distance from the equator to calculate the circumference of the earth.

Use geometry, a ruler, and a steady hand to create these amazing unfurling paper folds!

In this activity, learners explore geometry and spatial relationships as they figure out how to arrange tables for a party.

In this activity, learners take a turn contributing a closed figure made of six squares to a large grid; each must be different from all the others on the grid so far.

In this activity, learners use cooperation and logical thinking to find solutions to network problems on the playground.

In this activity (on pages 49-54 of PDF), learners play with tangrams, a set of triangles, squares and a parallelogram that can combine into a larger square as well as all sorts of other shapes.

In this activity, learners use pattern blocks and mirrors to explore symmetry. Learners work in pairs and build mirror images of each other's designs.

In this activity, learners discover how to rotate a flat shape into the third dimension. Learners draw and cut out a shape that has at least one straight edge on an index card.

If you have 3-foot dowels and rubber bands, you can can started on this fun and open design challenge. You can make structures big and small: make it so you can fit your parent into it!

In this math activity, learners build Peppy the dog the best trail and park for running around.

In this math lesson, learners follow step-by-step directions for making tangram pieces out of folded and torn paper. First, learners read "Grandfather Tang's Story" by Ann Tompert.

In this math activity, learners use what they know about shapes to copy a friend's hidden picture. Learners create a design out of pattern blocks and then hide their picture behind a screen.

In this activity, learners get hands-on with geometry by making a polyhedron kitty sculpture.