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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?

Rods and Rods

Age 7 to 11 Challenge Level:

I've been playing around with cuisenaire rods, this is what I came to.
There are five different ways for us to make the pink rod using just red and white rods.


We count white, white, red as different from the white, red, white even though they both use two white rods and one red rod.


Using our Cuisenaire environment, can you work out how many different ways there are, using only the red and white rods, to make up:

  • The light green rod?
  • The yellow rod?
  • The dark green rod?
  • The black rod?


Without using the interactivity, how many different ways are there to make up the orange rod (equivalent to 10 white rods)?

Can you explain the pattern?