Monday, January 21, 2013

Exponents!

Day 1

We kicked class off on Thursday with a quick single problem quiz on absolute value inequalities just to wrap up from Wednesday. 


The absolute value inequality problem that was our quiz

And then we began a BRAND NEW CHAPTER! We started with a quick review of exponents. And worked together on a few simple problems that were up on the board.

The eight exponential problems we solved together


Here is a photo of the problems along with my solutions which are a little more visual.

I hope this is helpful and doesn't confuse anybody!

Our homework Thursday night was very similar to what we did in class.

Our homework from Thursday night
To help keep things straight in my head I thought it would be helpful to write up a list of the rules for exponents. Mine was really incomplete and just useful for the homework we had but I found this website that has a really nice table of the laws.


Day 2

After going over homework and discussing solutions, we moved on to the main topic of class. 

MULTIPLYING POLYNOMIALS

There were a few problems on the board which we worked through together as a class, with some help from Lisa, so that we could get an idea of what we were learning.

Here I wrote down the examples along with the solutions that were on the board.
What I was able to take away from the examples was that

  • Multiplying polynomials is like a bigger application of the distributive property
  • Our review of exponents came in handy for simplifying our answers
                 and
  • It closely related to the Binomial Theorem I just haven't quite figured out how yet
We then finished up class with a few group work problems and were free for the weekend!

I was thinking about inserting a Kahn Academy video but I thought I would just leave you with this gem! :)


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6 comments:

  1. AnonymousJanuary 22, 2013 at 9:21 AM

    I love the enthusiasm. The pictures after each segment really solidify your points and make the post more relatable.

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  2. AnonymousJanuary 23, 2013 at 6:26 PM

    Overall nice post! The photos of your work helped and I really appreciated the table of exponent rules because I too get them confused sometimes. I also liked how you said what you were able to take away from the work we did on multiplying polynomials. It was concise and well organized! Good job!

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  3. AnonymousJanuary 25, 2013 at 7:10 PM

    I really like that you included a lot of pictures, each with their own caption to explain. Really good for those who are visual learners. Also, loved the video!

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  4. AnonymousJanuary 27, 2013 at 1:23 PM

    Nice post, video was helpful in terms of reviewing what we had done and you had a wonderful use of exclamation points.

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  5. AnonymousJanuary 28, 2013 at 5:55 PM

    Now I can't get the FOIL song out of my head. Thanks a lot. I don't really see how multiplying polynomials relates to the binomial theorem either--maybe we'll find out. I really liked the chart of exponents rules. I think that it will prove helpful.

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  6. LisaMarch 8, 2013 at 11:03 AM

    Karlina, Your post is a well-organized recap of our review of exponents and multiplying polynomials. The photos from the board and your notes, along with their captions, covered all the material accurately and thoroughly. You and James inquired about the connection with the binomial theorem. The binomial theorem is all about expanding a binomial, like (x+2)^8. You could do this by writing out (x+2) eight times and multiplying it all out [using what you wrote about in your post] or you could use the binomial theorem as a "shortcut." Either way, you'd end up with the same product. I can explain this in person, too, if that's easier. Finally, nice video at the end! :)

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