### Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

### Magazines

Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.

### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

# Lawn Border

##### Stage: 1 and 2 Challenge Level:

I was trying to imagine what my lawn would look like with a nice paved 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:

Make some kind of model or picture of your own that shows the same sizes.

Look at the number of tiles for different parts.

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

What do you notice has changed?

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

How does this compare with the last one?

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

Have a good look now at the numbers of the different tiles in different places for each of my models.

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

How many differently shaped 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?