Sunday, April 7, 2013

My Unit on Rational Functions (Algebra II)

Disclaimer--this unit is fast and very calculator-heavy.  It would need a good deal of reconstruction for an Advanced Algebra II course.  Nevertheless...

Part I:
Review of asymptotes via Asymptote Bingo

Part II:
Introduction to rational functions via this foldable:



*I think you could use this in an Interactive Notebook if you just deleted Example 3.

Part III:
Exploring rational functions via Desmos

This was my favorite.  Oh, Desmos, how I love thee.  I wrote this literacy/technology activity for my students and then we headed to the Math Lab together to work on the computers:




We have really nice, big screens in the Math Lab so the kids were able to get beautiful and clear pictures of these functions, which (I think) a typical handheld graphing calculator can't quite provide.  Here's what I loved:  The kids would graph the function in question, for example this:


And then they were asked to analyze.  I asked them to graph all their asymptotes and highlight all intercepts.  So, if they accidentally said that the horizontal asymptote was x=0, when they graphed their answer, they (usually) immediately identified their mistake and made the appropriate corrections.  (Or, at the very least, they raised their hands and told me, "This doesn't look right to me...")  If done correctly, their ending picture should have looked something like:


So beautiful and clean!

Part IV:
Solving rational equations through graphing and technology

Including review and assessment, I spent just over a week on this unit (like I said, it was fast).  But I'm pretty happy with it--especially our day in the Math Lab.  I worked out some issues with the activity, so I'm interested to use it again (I want to try it in PreCalculus) and see how it goes the second time around.

11 comments:

  1. Thanks for sharing. I added a link to your post here
    http://msmathwiki.pbworks.com/w/page/57743234/Algebra%202%20INB#view=edit

    @aanthonya

    ReplyDelete
  2. Could you tell me what the acronyms mean on the foldable?

    ReplyDelete
    Replies
    1. Hi, Brooke--

      It's an acronym to help students remember that degrees of the numerator/denominator determine horizontal asymptotes:
      BOBO: biggest on bottom: [y=]0
      BOTN: biggest on top: none
      EATSDC: exponents are the same: divide coefficients

      Sounds like a bad sci fi movie, but kids do seem to remember it :)

      Delete
  3. Awesome! Thank you so much! Do you have the foldable in doc form? Scribd isn't letting me download it. How did you have them fold it? I have been using INB's this year and have made a ton of awesome foldables and activities that really help kids.

    ReplyDelete
    Replies
    1. Sure thing! Would you mind emailing me at Rebecka dot Peterson at gmail dot com? And I'll send it your way :)

      Delete
    2. Did you get my e-mail? Wanted to make sure I sent it to the right account.

      Delete
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