## Friday, 20 June 2014

### A Square of Cubes in Year 4

For instance, with n=3, the first three cubes
- here made in Cuisenaire rods - can be reassembled into a square:
The square is six units wide, six being the third triangle number.

The puzzle then, was to make the cubes and then make a square from them. The class managed that successfully and it might have finished there, but when the following day they were asked to create a growing pattern of their own in Cuisenaire rods
and bigger - swallowing up all the Cuisenaire rods in the school, until they had created a monster:
The next day, while the rest of the class explained their own patterns, the four girls enthused about their creation.

It was time to have a closer look at the patterns of numbers hidden inside this huge square:
 square numbers
 triangle numbers
And then, to round it all off, a display outside the class:
with the invitation to make the cubes and the squares from the same rods:
We rounded it all off by inviting the Year 2s and Year 3s to find out what it was all about.  The four girls explained their creation brilliantly!