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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).

In this activity, learners cut a shape into two equal sized pieces and use their knowledge of geometry and space to prove that the two parts are equal.

In this activity, learners play a game and use pattern blocks to explore mirror images and reflection.

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 math activity, learners experiment with the concept of symmetry.

In this activity, learners arrange triangles together to make patterns to create paper quilts. Learners experiment with arranging the triangles in different ways to make various designs.

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