**Abe, a 7th grader, uses a TI 85 to find I ^{1/2}**

I had Abe, a 6th grader, doing powers of I, then had him
graph I^{n }on graph paper in the complex plane. He graphed I^{1}
and I^{2}, I^{3} and I^{4} (see above). Then I asked him
where I^{1/2} would be. He picked up my TI85 and put in square root of
(-1). Now I had never tried this before. He got (0,1) which was the point
(0,1i)! Then he took the square root of the square root of -1. This gave
(.707..., .707...) and he graphed this point. Abe said this would be I^{1/2}.
He went further on the graph to get points on a circle, (and I went into trig
with him from there- to show the I^{1/2} would be (cos 45, sine 45), but
as his teacher, I had never tried this before...really exciting!

To other discoveries

To download Don's materials

Mathman home