Create a set of five rectangles that have sides of length 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 units.We tried it with Cuisenaire rods:
Here are more pictures:
Then we started looking at the area the rectangles covered.
We got total areas of
120, 121, 123, 125, 130, 154, 161 and 184.
Next question: what is the biggest possible area?
Alicia answered this - use the biggest side lengths on the same rectangles:
|Area = 190|
And then, what is the smallest possible area?
Mimi answered this one - use biggest and smallest lengths on the same rectangle:
|Area = 110|
We finished this investigation off with a small puzzle:
Make these rectangles, and then see if you can make a square by putting them together:
1x6 4x7 5x8 3x9 2x10
3x6 4x7 2x8 1x9 5x10
1x2 4x5 3x8 7x9 6x10
1x2 4x6 3x7 8x9 5x10
|This one bent the rules a little...!|