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This lesson focuses on how materials behave differently as their surface area increases.

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 math lesson, learners use hinged mirrors to discover that regular polygons are composed of triangles tessellating around a center point.

In this math lesson, learners use a variety of manipulatives to explore spatial relationships of squares and their transformations.

In this activity, learners develop an understanding of cylinders and volume as they compare two sizes of popcorn buckets.

This activity explores the main algorithms that are used as the basis for searching on computers, using different variations on the game of battleships.

Working in teams of four, learners build tetrahedral kites following specific instructions and using specific materials.

This great "re-use it" activity will demonstrate how to transform a greeting card into a box. Once constructed, the box can have many uses like holding special notes or keepsakes.

In this outdoor activity, learners investigate the relationship between the slope of a trail and soil erosion.

In this activity, learners create a mind and math puzzle that requires a three-dimensional solution.

Groups of learners are provided with a generic car base and an egg. Their mission: design a device/enclosure to protect the egg on or in the car as it rolls down a ramp with increasing slopes.

In this activity, learners get hands-on experience with ratios and scaling while making their own jewelry out of recycled plastic containers.

In this team design challenge (page 19-24 of PDF), learners "land" a model Lunar Rover in a model Landing Pod (both previously built in activities #3 and #4 in PDF).

In this math lesson, learners use the setting of a flower-making fundraiser to explore a variety of patterns. Learners examine the patterns in a flower design made of triangles surrounding a square.

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

In this three/four-day lesson, learners calculate perimeters and areas and draw the castle plan to scale.

In this engineering activity, learners explore simple machines and then build cardboard automata using cams.

In this four-day lesson, learners identify three-dimensional forms in castle design, research different parts of the castle with a focus on their uses, and design and enlarge a banner for the great ha

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 discover how NASA engineers develop experimental aircraft.