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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.

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.

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 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 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 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 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 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.

In this activity, learners make a device called a phenakistoscope, which displays a continuously looping animation consisting of images drawn onto a spinning disc.

As learners play this challenging strategy game, they build understanding of area and perimeter. On each turn, a player draws a line between two dots next to each other on the grid.

This strategy game has simple rules but can be a challenge. Players start with an empty hexagonal grid. On each turn, a player initials one empty hexagon on the grid.

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