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?
Joe from Bishop Ramsey School looked at the
seven mat problem. He said:
Many of you answered this part well, including
Alistair of Cottenham Primary School.
Kahlia and Amy from Ardingly College Junior
School then looked a bit further and tried with other numbers of
Amelia and Kathryn, also from Ardingly College
Junior School, investigated many different numbers of mats in a
very systematic way:
Kahlia and Amy identified
Jeff and Raphael from
Zion Heights Junior High School relate this back to the strategy
for flipping the mats:
So, thinking about this
like Kahlia and Amy did, we could say that if the number of tiles
is 2 more than a multiple of 3, you add 2 to the answer of the
multiple below it.
Well done to everyone who
tackled this problem - it wasn't easy at all.