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.
A solution came from Tom of Lexden Primary School in
Colchester, Essex. Tom explains how he set about solving the
"I worked out what possibilities there were for multiplying the
top two numbers together to equal the middle number. The two
possibilities were 6 and 8 for the middle number.
I then worked out the other outside numbers so that when I added
them altogether they would make 6 or 8. 8 didn't work."
So what did work? Tom
knew, so did Ben and
Thomas both pupils at
Montgomery Church in Wales School, Powys.
They explain: "The middle number has to be 6 because that is the
lowest number that is the one that four of the other lower numbers
can total. That leaves 1, 2, 3 and 0 to be used around the outside.
We multiplied pairs of these numbers together until we found one
pair that made 6. These numbers were 2 and 3."
As Tom said, "The solution won't mirror image top to bottom
because the top two numbers have to multiply to make the middle
Ben and Thomas agreed. They completed the task this way: "1 and
0 were then used to make the diagonal lines total the same
Francine found the same
solution. They showed it the same way as Tom.