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?
Fergus and Nathan from Rutherglen
Primary sent in all these. They are good. Once you've got these you
can have a look to see if any are the same. I've circled in a
reddish colour those that end up the same by simple turning. I've
circled in a blue-ish/greenish colour those that if they were
flipped over would be the same. I'm very pleased with the efforts
these boys have put in.
Herts and Essex High School sent in this really colourful solution.
I have again taken this further and joined together with reddish
circles those that - ignoring colour - would be the same through
turning. I do think that colouring in makes them so
Four other pupils
from Rutherglen Primary School: Hannah, Laura, Sarah and Aleisha,
found out that hexpentas started off quite easy but at some stages
it got a bit challenging. They sent in the following:
Kate from St. John
Bosco Primary School sent in the following useful suggestion:
I agree that it is
very good if pupils make their own versions of the challenges.
Well done to all
those who sent in solutions. I hope you enjoyed the activity and
maybe can take it further.