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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.

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.

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

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 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 (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 make a device called a phenakistoscope, which displays a continuously looping animation consisting of images drawn onto a spinning disc.

As learners play this game, they develop logic, geometry, and spatial visualization skills. Players start out with an empty hexagonal 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 hands-on activity, learners use toothpicks to build different triangles and squares and then use the toothpicks to build and solve some tricky shape puzzles.

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.

Build a house you can fit inside, using cardboard tubes.

In this engineering activity, learners construct sturdy geodesic structures out of gumdrops and toothpicks. Use this activity to explore engineering principles as well as sturdy shapes and triangles.

In this activity, learners will create their own bubble solution. Learners will explore chemistry, geometry and trial and error through this activity.

In this activity, learners explore the strength of different shapes. Fold paper into triangles, squares, and other shapes, then experiment with how much weight they can hold.

In this activity, learners find as many combinations of a hundred as they can using various puzzle pieces from a hundred square grid paper.