I was trying to imagine what my lawn would look like with a nice tile border around it. So I used some tiles that were all the same size but different colours, to build a little model. This is how it looked.

Find some tiles or blocks and make a model like mine.

If you don't have colour tiles or blocks, use squared paper and colour in the squares

How many green tiles do you think I used to make the lawn?

How many tiles did it take to make this border?

What can you say about the number of tiles I used on each side off the border?

I wondered what my border would be like if I changed some of the tiles. I made it like this.

Did I change the number of green tiles to make the lawn?

How many tiles did it take to make this border?

What can you say about the number of tiles I used on each side off this border?

I decided I'd make some more changes to my model garden. I did this.

How many more green tiles did I use than last time?

How many more border tiles did I use than last time?

What can you say about the number of tiles I used on each side off this border?

I made one last model with some different tiles. Here it is. Liked this one.

I began with 12 green tiles, did I use them all to make this lawn?

Do I have the same number of border tiles on each side of the lawn?

Have you noticed any pattern in the number of tiles you used as you built your madel gardens?

If I use all of my 12 tiles to make a lawn, how many tiles would I need to make a border?

How many different shape lawns can you make with 12 tiles?

Do you need a different number of border tiles to go around each lawn shape?

Can you make models to show what the different gardens would look like?