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Topic: Word Problems
Replies: 27   Last Post: Aug 28, 1996 3:58 PM

 Messages: [ Previous | Next ]
 Howard L. Hansen Posts: 48 Registered: 12/6/04
Re: Word Problems
Posted: Aug 25, 1996 1:38 AM

Professor Toom:

"Estimate" in this context clearly implies connecting the discrete
points plotted with a "smooth" curve using paper and pencil--What's your
beef?
Why isn't an equation a model for the data? Seems perfectly clear.

Fanciful? What do you mean?

Boring? I think you have a point here (although perhaps you have left
out the context)--but then no more boring than finding the weight of
dehydrated potatoes!

I rather like the idea of exercise 3. Students are rarely asked to
reason from the outputs back to the input (at least that has been my

H^2

Andre TOOM wrote:
>
> Precalculus Mathematics: A Graphing Approach. 3d edition.
> Franklin Demana, Bert K. Watts, Stanley R. Clemens.
>
> P. 20. Exercises for Section 1.2
>
> In Exercises 1 and 2 graph on a rectangular coordinate system the (x,y)
> pairs from the given data. In each case, estimate a complete graph.
>
> 1.
> x | -4 -1 1 4 9
> --------------------------
> y | -2 1 3 6 11
>
> 2.
> x | 1 2 3 4 5
> --------------------------
> y | 1 4 9 16 25
>
> 3. Use a graphing utility to graph y = 100 sqrt(x).
> Then use the technique you used in the Exploration on page 16
> to complete the following table of values:
>
> x | ? ? ? ? ?
> --------------------------
> y | 10 20 30 40 50
>
> 4. Show that the equation y=x+2 is a model for the data in Exercise 1.
>
> I think this is enough. How can one ESTIMATE a graph?
> What does it mean that an equation is a MODEL?
> Fanciful language and boring content.
>

--
Howard L. Hansen
Assistant Professor of Mathematics
Western Illinois University
Macomb, IL 61455
http://www.ECNet.Net/users/mfhlh/wiu/index.htm
"Good mathematics is not how many answers you know,
but how you behave when you don't know the answer."

Date Subject Author
8/20/96 Andre TOOM
8/21/96 Andre TOOM
8/21/96 Andre TOOM
8/25/96 Andre TOOM
8/25/96 Andre TOOM
8/26/96 Andre TOOM
8/27/96 Andre TOOM
8/28/96 Andre TOOM
8/26/96 mtbb0@ms.uky.edu
8/27/96 Jack Roach
8/22/96 Lutemann@aol.com
8/24/96 Andre TOOM
8/25/96 Howard L. Hansen
8/25/96 Andre TOOM
8/25/96 Lou Talman
8/25/96 Kreg A. Sherbine
8/25/96 Andre TOOM
8/25/96 roitman@oberon.math.ukans.edu
8/27/96 Lou Talman