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

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.

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