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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).

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

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.

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

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.

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

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.