This practical challenge invites you to investigate the different
squares you can make on a square geoboard or pegboard.
This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
Here are three solutions to this problem
from Anna, Oliver and Lucy.
From Anna we had the following which was very
I found 18 more but the highest score that I found was 196, and
it was a vertical worm, crossing through 34, 44, 54 and 64. These
are some of the worms where the head starts at 67:
Well Anna, thank you so much for your
thoughts. I liked the picture of you thinking these
Stephen in the same school [West Flegg in
Yarmouth] did some similar work and his thoughts were:-
Oliver, from a little village near
Somerton in Somerset,drew the starting field of 100 in the way
Then he drew, quite systematically the
following worms and showed their additions with the head on
Well done Oliver!
Lucy, from Wells in Somerset, started off with
this different arrangement of numbers:
She then coloured in the worms as
solutions and I've used the same colours to colour in the ones that
she drew together with the totals.
She then numbered the square in a very
interesting way. See if you can see what she has done and then
perhaps go one to do a very different one for yourself.
Unfortunately she did not have time to
do very many, but I got caught up with this idea so I did the last
twenty showing the kind of shape I was using. Then I began to