Algebra Tiles are a way of learning and teaching factoring skills.
The big blue square represents x^2 (x squared) and each green rectangle represents an x while the little yellow squares represent numbers (constants).
So if you look at both of these squares they are both composed of x^2 + 4x + 3
Factoring x^2 + 4x + 3 would be (x + 3)(x + 1) which if we FOILed would become x^2 + x + 3x + 3 and if we combined like terms would become x^2 + 4x + 3.
The rectangle on the left has dimensions x + 3 on the bottom and x + 1 at the top.
The rectangle on the right has the same total dimensions of x + 3 on the bottom and x + 1 at the top but is configured differently.
This is where Math is evidently a creative endeavor as two different students made these representations.
Intro to Algebra Factoring from Regents Prep
Another Factoring Example from Regents Prep
Student Set of Algebra Tiles from Amazon
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