Algebra - Modeling Polynomials using Algeblocks

I like to introduce algebra using Algeblocks. They help build a visual and physical understanding on which the math easily builds. See the previous post on what Algeblocks are if needed.

1. Have the students measure the small square. Since it is 1 by 1, the area is 1 cm squared. I just name it a "1". Write 1 on one of the small squares so they don't forget it's name.

2. Have the students measure the rectangle. They can see that it's width is 1 cm but can't measure it's exact length. So the length is x since it is "unknown". The area then is 1 by x which is x cm squared. I just name this shape x. Write x on one of the small squares so they don't forget it's name.

3. Have the students measure the large square. They can't get an exact measurement for the length or the width, so it is x by x or x². Write x² on a large square so they don't forget it's name.




Once you have all 3 shapes "named" you can then model a polynomial.

4 large squares = 4x²
2 rectangles = 2x
3 small squares = 3



To "add" these shapes up you simply connect them with and addition symbol.

4x² + 2x + 3

Model several different polynomials. Have the student make the model, and name the polynomial.