I’ve been playing with the lovely Cuisenaire Rods for a few weeks now. I made the (fortunate) mistake of creating this flower in a past article about coordinate pairs.
The mistake was that I would eventually have to come up with the coordinates for this thing. Fortunate because it gives the MathFourTicians out there something else to teach with the rods!
The center of the flower is the place to start.
Since all the “petals” are attached to the center, that’s probably the best place to begin.
I converted to something I could see.
Since everything is tiny (1 cm), I went to a bigger setup. And some of the coordinates were easy to pick out. So I put those in the big grid, too:
And then I started to do some work…
Next I considered what I was really dealing with: a square. And each side was 1 cm.
I went back to the big grid.
When I put this information on the big grid, it looks like this:
Doing some arithmetic and geometry, I get:
Using my very cool TI-30 calculator, I get that .
I can accurately name the points!
Knowing that each corner pokes out roughly 0.2, I can calculate the coordinates:
From this I can create the ordered quadruples as described here for the petals of the flower. But at this point I’m pretty much needing a break. So I’ll leave that for next time.
Whatcha think? Fun? Share your thoughts in the comments and on Twitter:
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