[center][/center][center]What-If-Not Completing the Square[/center][br]What if we changed the traditional completing the square algorithm? What if we decide to not "take half the middle term, square it, and add it to both sides" and (instead) try adding something else? Let's explore what happens when we try to complete the square (or cube) in different ways by using GeoGebra to examine the unexpected patterns in the graphs of these completed squares or cubes.[center][/center][br][br]Short bio:[br]A high school math, statistics, and computer science teacher for 28 years, I have served districts across SW Ohio as an Instructional Technology Coach and Math Coach for the past 3 years. I can claim with reasonable certainty that I was the first High School teacher in the USA to use GeoGebra.