Why do this problem?
builds on Ring a Ring of Numbers
. It encourages children to start from different examples and then begin to draw some more general conclusions based on their understanding of odd and even numbers.
What happens when you put one more number in the ring?
What happens when you put two more numbers in the ring?
What happens when there is an odd number of numbers in the ring?
What happens when there is an even number of numbers in the ring?
The problem Number Differences
makes a good follow-up challenge.
Some children will benefit from spending more time on the Ring a Ring of Numbers
problem. Having digit cards to move around on a large piece of paper will also help and pupils might benefit from having sheets of blank rings so that they can try different combinations of numbers: