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

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

Players take turns adding shapes made of three squares to a grid. They try to fit their shapes on the grid in a way that blocks the other player.

In this activity (on page 2 of the PDF under GPS: Sailboat Design Activity), learners will discover how the shape of an object, not just its weight, determines whether it floats or sinks.

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

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

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.

As learners play this strategy game, they develop understanding of squares, area, and perimeter. On each turn, a player draws a line between two dots next to each other on the grid.

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.

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 design challenge activity, learners use a balloon and other simple materials to design an air-powered rocket that can hit a distant target.

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 (located on pages 23-24 of the PDF), learners are introduced to structural engineering and encouraged to practice goal-oriented building.

In this activity, learners discover that they can modify a regular piece of paper so that it's large enough for them to walk through!

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

The goal of this activity is to design, build and test a house or toy for an animal.

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