This instructable will show you how to use an Epilog laser cutter to make a set of the useful tiles. If you do not have a laser cutter, you can use Ponoko or similar laser cutting services to make yours.

**Signing Up**

## Step 1: Supplies

Sheets of Acrylic (32 dollars for a 24x34 inch piece from Tap Plastics)

A Laser Cutter

The template that is attached

I included 2 templates, one for 1 set and one for a set of 39. They can be edited in corel draw or a similar program.

## Step 2: Laser Cut The Acrylic

Engraving: 400 dpi Speed: 100 Power: 40

Cutting: 400 dpi Speed: 10 Power: 100 Frequency: 5000

I removed the paper off the acrylic as to help the engraving, with the paper on you'll have to change your settings.

## Step 3: Finished Tiles

Once you laser cut them, use a toothpick to poke out the extra plastic. Then you are left with the pretty tiles.

## Step 4: How To Use The Tiles

x

^{2}Tile which has side x

x Tile which as an x and a 1 side

and the 1 Tile that has a 1x1 sides

Each tile has a positive side (denoted by the lines) and a negative side (smooth side)

In our picture example we see the trinomial:

x

^{2}+ 2x + 1

When the tiles are fitted together we see it makes a perfect square, and looking at each side we can see that each side makes up x+1

Therefore the prime factor of the trinomial is (x+1)

^{2}

. Just pick a number. The 1 piece is that many pick-your-unit-of-measure on each side. The x piece is that many pick-your-unit-of-measure on one side and twice that many pick-your-unit-of-measure on the other side. X

^{2}is twice that many pick-your-unit-of-measure on each side.^{2}(not just the piece labeled X^{2})?