__Unit Description:__

This is a unit designed for a weeklong summer camp targeting mathematically-gifted middle school age students. These students are exceptionally bright, and very quick to grasp new material. This curricular unit will be focused on geometric explorations and problem-solving scenarios.

Day 1: **Introductions
& How to Find the Area of Irregular Objects** (Find the area of a
pond). This lessonŐs focus begins
with more general shapes, and builds to area of compound shapes and that of
irregular shapes.

Day 2: Extension: * Predicting Energy Needs (Cylindrical Tank & HydroElectric Power*. We will place initial emphasis on volume
of common solids, then move to parts of those solids as well as water flow as a
volume/time rate.

Day 3: FIFA
Soccer: **Properties of Angles.**
When should a soccer forward shoot
to maximize their chances of scoring & construct a soccer ball. The first part of this lesson utilizes NCTM illuminations, while the second part of the lesson creates a solid from a particular patterned net that will create a truncated icosahedron when folded correctly. An interesting twist for students wanting to do more is found here...

Day 4: LetŐs Fly
a Kite: **A Multi-Part Lesson with a
Kite Theme**. Using Right
triangle trigonometry to find information for problems involving kites, build tetrahedral kites, comparing length changes to area changes to volume changes.