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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).

In this math lesson, learners identify, describe, and construct the five regular polyhedra.

In this activity, learners build a paper stellated rhombic dodecahedron, a three-dimensional 12-pointed star.

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

In this activity, learners cut a shape into two equal sized pieces and use their knowledge of geometry and space to prove that the two parts are equal.

In this activity, learners discover how NASA engineers develop experimental aircraft.

In this activity, learners explore scale by using building cubes to see how changing the length, width, and height of a three-dimensional object affects its surface area and its volume.

In this calculus activity, learners use a classic problem of geometrical probability to find an important mathematical constant (pi).

In this activity, learners play a game and use pattern blocks to explore mirror images and reflection.

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.

In this math lesson, learners arrange pattern blocks to create tessellations and to explore geometric patterns. Learners first explore making patterns with a variety of pattern blocks.

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

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.

In this math activity, learners trace their hands and estimate the number of beans that can fit into their hand tracings. Then, learners glue the beans to the tracing to test out their estimations.

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