EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
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.
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?
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
Make some kind of model or picture of
your own that shows the same sizes.
Look at the number of tiles for
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
How does this compare with the last
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 $12$
Do you need a different number of border tiles to go around each
Can you make models to show what the different gardens would