Some theoretical points from the Cuisenaire rods:
Our observations and descriptive feedback:
|An example of Cuisenaire rods in action. (1/3=6/18)|
|While the fractions are equivalent, 1/3 is also the simplest form or lowest term of 6/18. More on the in the lowest term in the video that follows. By the time you read this, I would have taught you some more about this concept.|
|All of these circles, each one being 1.0 are "sliced up" in different ways.|
|The green portion is still half of a circle at 5/10. The purple portion is also half but looks like 6/12.|
I am in the process of coming up with a rule for explaining how the lowest term can be expressed for a fraction using the rods. At this point, I think the reduced fraction must be the same size (length) or rods, but with the least number of rods used.
For example, 6/12 involves the use of 12 cubes, whereas 1/2 only involves the use of 2 rods.
For 3/12, we have 12 cubes, whereas 1/4 only inolves using 4 rods.
Rob, from Math Antics, take a shot at explaining how fractions are equivalent.
|# 3, 4, 6, 8, 9, 10|