Friday 17 May 2013

Fawn vs. Nathan

I had my grade 9 class work on this problem today:




















A colleague gave me a version of this that was fully scaffolded, but I thought it would be much richer if it was more open.  And I threw a couple of tweep's names in there for fun.


They worked in groups and wrote solutions on their whiteboards.  Here was the first attempt:

















Although Fawn probably likes this, I asked if volume should determine the price.  A. said "Surface area!" and this is what he produced:


















And another solution:
  














Along the way I heard a lot of "Fawn's right!" and some "Nathan's wrong!" (maybe I should have won your little exponent game, Nathan)

They worked out that the volume of the large fish tank was 8 times the volume of the small one.  The surface area of the large one was 4 times the surface area of the small one.  The price of the large one was 4.6 times the price of the small one.  Here is a nice summary (she originally forgot that there was no top so had to subtract after):





















Bottom line here - Fawn is right! (always, otherwise she punches you)

4 comments:

  1. This is the BEST post ever, Mary. I love you. I'm always right. Somebody else is always wrong. End of story. :)

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  2. Mary. This is the WORST post ever written. You should be ashamed.

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  3. Seems like someone is a little sensitive. If it makes you feel any better did think you were right to question the price. But really, why would you question Fawn?

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    Replies
    1. "But really, why would you question Fawn?" Amen. (You got the wrong memo though, I don't punch people, just hug them A LOT.)

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