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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 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 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 math activity, learners build Peppy the dog the best trail and park for running around.

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

If you have 3-foot dowels and rubber bands, you can can started on this fun and open design challenge. You can make structures big and small: make it so you can fit your parent into it!

In this group activity, learners make multi-sided polygons with string.

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 explore geometry and spatial relationships as they figure out how to arrange tables for a party.

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.

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

In this activity, learners explore scale by using building cubes to see how changing the length, width, and height of a three-dimensional object affects its surface area and its volume.

In this activity, learners practice drawing 3D structures in two dimensions. Learners draw cube stacks from five different points of view.

In this math activity, learners use what they know about shapes to copy a friend's hidden picture. Learners create a design out of pattern blocks and then hide their picture behind a screen.

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.

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

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 add squares to paper dominoes to make polyominoes.

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