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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 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°.

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

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

In this math activity, learners observe and sketch cracking patterns in pavement.

Learners determine the surface area and volume of two identical boxes, and then figure out the dimensions of a cubical box with the same volume.

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 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.

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

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

In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.

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 (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 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 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 practice drawing 3D structures in two dimensions. Learners draw cube stacks from five different points of view.

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.

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