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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).

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 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.

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

In this activity (on pages 55-66 of PDF), learners fold paper into origami shapes and then combine several identical shapes into a three-dimensional structure.

In this activity, learners investigate how geometry plays a role in perspective.

In this demonstration, learners attempt to get a large coin through a small hole, the size of a smaller coin.

Build a house you can fit inside, using cardboard tubes.

Here's a very simple activity if you have paper and scissors: make one cut, unfold, and you have a beautiful star! A great way to learn about polygons and origami mathematics.