Completing the Square: Using an Area Model to Rewrite Quadratic Expressions

This video tutorial explains how to complete the square in a quadratic expression using an area model. It begins by defining perfect squares and illustrating them with examples. The tutorial then introduces the concept of using area blocks to represent polynomials, detailing the different types of blocks used. The main focus is on completing the square for the expression x-squared plus 6x, demonstrating how to arrange area blocks to form a perfect square. The tutorial concludes by showing how to express the original polynomial in vertex form, emphasizing the importance of understanding perfect squares in quadratic expressions.

Describe the relationship between the original polynomial and the completed square.

What does it mean for an expression to be in vertex form?

What are the two terms in an expression in vertex form?