Re: [MATHEDCC] technology/fractions

jgajniak@IX.NETCOM.COM
Sun, 28 Sep 1997 11:40:39 -0500 (CDT)

I enjoyed Cool Math's story about the TI-92; yes it's a great machine.

Some day I will get one. I attended a TI-83 programming class Saturday.
The two instructors are heavily involved into programming the TI-83. Both
are experienced math instructors with a pre-teaching background in
programming.

Our classwork was to write a Monte Carlo simulation--that's where you throw
some darts at that part of the coordinate plane enclosed by (0,0), (2,0),
(2,2), and (0,2). You then have a square(area of 4) with each corner at
these points.

The question is: What percent or what fraction of the dart throws will land
within the 2 x 2 square but also must land in the lower right hand quadrant
of the 2 x 2 square?

You can input the number of dart throws; then the calculator will calculate
an "experimental" probability; sometimes you get 23% or 27% or 24%. Of
course the "theoretical" probability is 1/4 = 25%.

I think that programming "simulations" is pretty nifty; I'm beginning
to come around to thinking that this is where their utility really lies.

For my homework (due next Saturday), I need to think of a problem to
program the TI-83. Any ideas from the fine minds on this listserv would be
duly appreciated.

Caution: Please, only suggestions that can be programmed in less than
15 hours.

Regards,

The Old Pro

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