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.
Quite a few students wrote in with correct
solutions and two groups offered short, precise reasoning.
group of four: Luke, Dan, Nicholas and Luke, all from Clevedon
Community School , point out
While the second group of Jessica, with the help
from Gemma and Tim describe, quite
nicely, how to time one minute:
Chinese School in Singapore; Claire, Madras College in St. Andrews;
and, Jimmy, West Flegg Middle School in Great Yarmouth, also
correctly solved the problem . Well
However, Peter wrote to us saying:
Simply repeating the one minute from end-of-T7 to the second
end-of-T4 will not work as you will have to wait another $7$
minutes between the first minute and th second.
To get contiguous minutes (i.e. minutes which directly follow on
from each other) you need to subtract multiples of $4$ and $7$:
The exception is $11$ where you add the two together.
Thank you for this clear solution, Peter.