Use 4 of the pattern tiles (download here) to make as many different designs as you can.

Digit Dog and Calculating Cat have arranged the tiles into a square.

What do you notice about the patterns they have made? Can you think of a way of describing the patterns?

What is the same? What is different?

How many different patterns do you think you could make by arranging the tiles in a square?

Try it. Take some pictures of your designs.

How will you know you have found all the ways?

Is there a way of being systematic? Explain your thinking.

**What if……..**

…….. you only made symmetrical designs?

…….. you arranged the tiles in a straight line?

…….. you used more than 4 tiles?

…….. you designed your own tile?