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Patterns, Functions, and Algebra

Channel Talk

From: Stephen Cicioni ([email protected])
Date: Wed Mar 13 2002 - 08:02:46 EST

  • Next message: Larry, Rita, Joe, Garrett: "Re: [Channel-talkalgebra] Session 8 Problem B10"

             Reply to: RE: [Channel-talkalgebra] Session 8 Problem B10
    Rita, I am a middle school math teacher from Lancaster PA. I feel as you do, the graph should also include a curve in the third quadrant. The T table includes negative values for x which yield negative values for y. Giving negative, negative ordered pairs, which, when plotted, are in the third quadrant.
    In the paragraph adjacent to the graph on page 218, it talks about "...if x is a little less than 0, y is a very large negative number." In teaching integers to my students, I try to avoid the mentioning of very large negative numbers. We define one integer as being larger than another by saying the number farther to the right on the numberline is larger. The use of "very large negative numbers" is confusing to my students. We describe those numbers by saying they are negative numbers with large absolute values. For example, negative one is larger than negative twenty, but the absolute value of negative twenty is larger than the absolute value of negative one. We define absolute value as a number's distance from zero on a numberline.

    Larry, Rita, Joe, Garrett wrote:
    >In Session 8, Problem B10 we are asked to make a graph of the function >suggested by problem B8, xy=3. We are prompted to choose 5 positive and 5 negative >numbers for our T table x values.  The negative numbers would yield negative y >values because a neg. times a neg. equals a positive.  (The functions says xy=3 not >-3 or any other number.)  I am wondering why the graph shown in the solution >section only shows the function in quadrant I when there is a reflection of that line >in quadrant III, if we are to graph the negative numbers on our T charts as >well.  Am I misinterpretting something?Thank-you,Rita Pfenninger
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    > Subject: [Channel-talkalgebra] Session 8 Problem B10
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