Completing the Square (Geometrically)


As teachers how many of you know how to complete the square on an equation?  Quite a few I am guessing.  How many of you know why you complete a square? Probably less than the first question.  Can you represent completing the square geometrically?  OH, Yes! Below features an activity guide using geometry to portray completing the square.  Normally after we do the complete a square as a regular lesson, we go over what it looks like geometrically the next day.

When you have students see the geometric way after going about and doing the algebraic way, it helps students memorize and visualize what completing the square is and it is a small fun acitivity that you can change to many different ways and levels.
Completing the Square (Geometrically)

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