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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).

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 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 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 explore the structural strength of triangles by creating their own free-standing geodesic dome out of plastic straws.

In this activity (page 7 of PDF), learners will identify the general two-dimensional geometric shape of the uppermost cross section of an impact crater.

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.

In this activity, learners will explore how maps can provide information about a place and help us find our way from one location to another.

In this activity, learners get hands-on with geometry by making a polyhedron kitty sculpture.

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.