These two group activities use mathematical reasoning - one is
numerical, one geometric.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
This challenge is a bit different to my usual ones. I used it many years ago when I wanted some quite young children to do lots of adding in a more fun way.
The diagram gets more and more complicated, growing as shown below:-
There is not much more to say, apart from have a go yourself. Use any starting numbers at the corners. Can you estimate what the size of the last four numbers will be?
What would happen if you used different shapes, for example pentagons or hexagons?
What would happen if you used subtraction, always taking the smaller from the bigger?
What would happen if you multiplied? Divided? What ...??