Wednesday, May 16, 2007

Comments, Links

As a middle school math teacher, I spend a lot of time slogging through review material. Our current textbooks don't challenge the students very much; much of what they see is simply a repeat of what they studied last year with a few new vocabulary thrown in.

So when I get to introduce a lesson on a topic that is a certain distance from what the students have seen before, it's always an exciting day. Today in seventh grade we dove into the graphs of quadratic functions--at a very basic level, granted, but the students always step over the bounds of the textbook and ask great questions:

  • Does the parabola ever bend back in on itself?
  • How can the slope of a curve increase but never reach straight up-and-down?
  • Is it a quadratic function if it has powers of 0? How about -2?
  • Will the scales of the axes be the same for all quadratic functions?
  • What should I do if the y-intercept of the parabola is inconveniently large?
  • Can I put a break in the axes of a coordinate plane?
  • Is an expression still a polynomial if it has higher powers of the variable than 2?
  • What do the graphs of higher-order polynomials look like?
  • What does the function for this (fourth quadrant) parabola look like?

1 Comments:

At May 28, 2007, 5:31:00 PM, Blogger Shirley said:

alright...
i don't really get what are these questions talking about.
but they do seem intelligent.
lol

 

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