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Learners display their findings after a study of surface area and volume. They build a mobile to show a commercially available box and a constructed cubical box of the same volume.

In this activity, learners walk the sides and interior angles of various polygons drawn on the playground. As they do so, learners practice rotating clockwise 180° and 360°.

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 math lesson, learners identify, describe, and construct the five regular polyhedra.

In this great hands-on activity, learners use patterns to make a teepee from newspaper that they sit inside.

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

In this activity, learners discover how NASA engineers develop experimental aircraft.

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 calculus activity, learners use a classic problem of geometrical probability to find an important mathematical constant (pi).

In this activity, learners will measure the length of a shadow and use the distance from the equator to calculate the circumference of the earth.

In this math lesson, learners arrange pattern blocks to create tessellations and to explore geometric patterns. Learners first explore making patterns with a variety of pattern blocks.

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 repeat patterns in two and three dimensions to create tessellations.

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 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.

Learners determine the surface area and volume of two identical boxes, and then figure out the dimensions of a cubical box with the same volume.

In this activity, learners develop spatial reasoning skills as they blow bubbles and observe what happens when the bubbles connect.

In this hands-on activity, learners use toothpicks to build different triangles and squares and then use the toothpicks to build and solve some tricky shape puzzles.

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 math activity, learners observe and sketch cracking patterns in pavement.