In Year 4 we've been looking at a puzzle, taken from

Gary Antonick's 'Numberplay' in the New York Times:

Create a set of five rectangles that have sides of length 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 units.

The really quick and easy way to explore this is with Cuisenaire rods:

After we'd found five rectangles with those side lengths, we recorded them using the

Cuisenaire Environment:

Here are more pictures:

Beautiful... You can also extend this to the concept of perimeter.... Ask them what is the total of all the side lengths ..and they would probably feel the need for the formula (short cut) to find the sum of first n numbers.... Secondly, tell them to make rectangles of same areas but different perimeters etc.. ..Thanks for sharing..

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