How many numerical relationships can you find in the diagram below? E.g., 10^2 = 8^2 + 2(8•2) + 2^2

Visual representation of (a+b)^2^

(Look for areas, dimensions, number patterns, and other equations this diagram might represent.)

Guided Discovery Lesson: Visualizing Area Relationships

Objectives:

Students will explore a visual proof of the algebraic identity:

(a + b)^2 = a^2 + b^2 + 2ab