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.
How many ways can you find of tiling the square patio, using square
tiles of different sizes?
We had $60$ solutions submitted and a bit of response in the blog Here are a selection.
This solution was created by students at Primary and Secondary Master classes at the British School Al Khubairat in Abu Dhabi:
Solutions submitted by:
Olaf and James (Yr $6$), (Primary) $20$ mins including cutting time.
Thomas (Yr $7$), Joanna (Yr $9$) & Madeleine (Yr $9$), (Secondary) . $15$ mins including cutting time.
Dimensions of the Rectangle: 33 cm x 32 cm
Joe who studied this at home sent in the following:
Put nine, eight and fifteen along the top. Place the $1$ under the bottom of the left corner on the eight. Underneath the $9$ put the ten, next to the ten (and under the eight) put $7$. This will line up the $7$ under the eight creating a place for $15$. So fifteen is forming the top right hand corner of the rectangle. Under the $7$ place $4$ so it is next to the
bottom part of $10$. Under the ten put fourteen , and next to the fourteen put eighteen. There you have it you have made a succseful rectangle with $33$cm long and $32$cm wide!!!!
From Kent College Prep School we had contributions from Megan, Polly and Amy, Sophia and Lottie, Olivia and Isabel - and Isabella and Victoria's solution was:
Our first solution was we drew squares $1x1, 4x4, 7x7, 8x8, 9x9, 10x10, 14x14, 15x15$ and $18x18$. Then we cut them out and started to find a solution.
It took us a couple of goes to find our solution; we found our solution because we started to put numbers together to make another number e.g. $8x8$ and $10x10$ made $18x18$.
When we had finished we counted the width and the length and it equalled $32x33$.
At the last moment we had a solution in from John at 37th of Heraklion School in
We also had a solution from the British Manilla School in the Philippines sent in by Rishi.
We had a substantial contribution from year $6$ at East Ward School in Bury England. This can be seen here .
A big WELL DONE to all those who sent in many other excellent correct solutions.