Geoboards can be used to study many different relationships.  A few activities used in my classes include:

	Lessons for students to explore the relationship between the area of a triangle and the area of a related rectangle.
	Lessons for students to explore Pythagorean Theorem on the geoboards.
	Lessons to develop an understanding for square roots.

Area and Perimeter

Area of a Triangle on a Geoboard

Pattern Blocks on a Geoboard

Visualizing the Square Root of 2