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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.

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.

In this activity, learners build a paper stellated rhombic dodecahedron, a three-dimensional 12-pointed star.

In this activity, learners will engineer a new shape and use it to create a new pattern with no wasted space.

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, learners use pattern blocks and mirrors to explore symmetry. Learners work in pairs and build mirror images of each other's designs.

In this activity, learners discover how to rotate a flat shape into the third dimension. Learners draw and cut out a shape that has at least one straight edge on an index card.

In this math activity, learners experiment with the concept of symmetry.

In this math lesson, learners follow step-by-step directions for making tangram pieces out of folded and torn paper. First, learners read "Grandfather Tang's Story" by Ann Tompert.

In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.

In this math activity, learners create symmetrical designs for paper models of special blouses known as huipiles.

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

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.

In this activity, learners slide shapes to create unusual tiled patterns.

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

Here's a very simple activity if you have paper and scissors: make one cut, unfold, and you have a beautiful star! A great way to learn about polygons and origami mathematics.