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Learners display their findings after a study of surface area and volume. They build a mobile to show a commercially available box and a constructed cubical box of the same volume.

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

In this activity, learners walk the sides and interior angles of various polygons drawn on the playground. As they do so, learners practice rotating clockwise 180° and 360°.

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 activity, learners add squares to paper dominoes to make polyominoes.

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

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

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 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 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 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.

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.