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.
Place this "worm" on the 100 square and find the total of the four
squares it covers. Keeping its head in the same place, what other
totals can you make?
Here is a little journey taken by one creative
They decided on an easy start by taking:
The pattern went as follows:-
This was quite nice, after the first number
[the chosen one] all the digits in the units column are 8, the tens
are 2 and the digital roots go:- 1, 3, 1, 3, 1, 3, 1, 3, 1.
So what happened when the starting number is
And the digital roots now go:- 9, 4, 9, 4, 9,
4, 9, 4
Whoa! That's quite something. The units now
go, after the first chosen number, 6204 and repeat.
Well let's summarize what the rest of the
exploration gave :-
Well reading this has been very exciting and
led Bernard to make a further change, using 7 instead of 8.
There is so much here that is fascinating.
I hope that your explorations have gone