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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.

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.

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.

In this great hands-on activity, learners use patterns to make a teepee from newspaper that they sit inside.

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

In this four-day lesson, learners identify three-dimensional forms in castle design, research different parts of the castle with a focus on their uses, and design and enlarge a banner for the great ha

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 hands-on activity, learners make New Year's Eve party hats out of wrapping paper. Learners use symmetry and measurement to cut out shapes they need to assemble the hats.

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 (page 18 of PDF), learners will measure the volume of impact craters created by projectiles of different masses.

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

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

Learners estimate how many small triangles will fill a larger shape. Then they use a triangle stamp (or stencil made from a file folder) to fill the larger shape with triangles.

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.