Quadratics Part 1- What do all the tiles mean?

We use tiles to help us understand the Quadratics Unit. There are small square tiles, rods and large square tiles.

Key:

The large squares represent the value of x^2.

The rods represent the value of x.

The small square represents the value of 1.

Example 1:

x^2 + 5x + 6

For the example above, we would use 1 large square, 5 rods and 6 small squares. Your goal is to create a rectangle with the shapes you have. Draw a picture of each rectangle you create.

After you try this out, scroll down to see if you got the right image!

If you want extra practice, create rectangles with the tiles below. Draw out your pictures on paper and bring them to class!

1. x^2 + 7x + 6
2. x^2 + 4x + 4
3. 2x^2 + 8x + 6
4. 2x^2 + 7x + 3
5. 2x^2 + 8x + 8
6. 3x^2 + 10x + 3
7. 3x^2 + 8x + 5