Algebra Tile Diagrams
*Note: red represents negative values*
Algebra tile models cannot show this equation. This expression cannot be shown by a two dimensional model.
Expanding and Simplifying Expressions
= 
= 
= 
= 
= 
= 
= $latex (x \cdot x) + [x \cdot (-1)] + (1 \cdot x) + [1 \cdot (-1)] = 
= 
= 
= ![(x \cdot x^2) + [x \cdot (-2x)] + (x+1) + [(-1) \cdot x^2] + [(-1) \cdot (-2x)] + [(-1) \cdot 1]](https://s0.wp.com/latex.php?latex=%28x+%5Ccdot+x%5E2%29+%2B+%5Bx+%5Ccdot+%28-2x%29%5D+%2B+%28x%2B1%29+%2B+%5B%28-1%29+%5Ccdot+x%5E2%5D+%2B+%5B%28-1%29+%5Ccdot+%28-2x%29%5D+%2B+%5B%28-1%29+%5Ccdot+1%5D&bg=ffffff&fg=000000&s=0 "(x \cdot x^2) + [x \cdot (-2x)] + (x+1) + [(-1) \cdot x^2] + [(-1) \cdot (-2x)] + [(-1) \cdot 1]")
= 
My Understanding
The algebra tiles allow me to see the relationship between multiplication and rectangles. In order to simplify equations I first need to expand them using the distributive property. Then from there I can start simplifying the equations. I can combine like-terms to do this.
