The Great Big Book of Algebra

Thursday, December 4, 2008
Chapter One:

Cinquain:Adding
Adding
Easy, hard
Thinking, solving, trying
Really easy to learn
Addition
Haiku:Subtracting
There's no subtracting
Always add it's opposite
Now you have to add

Free Verse:Ron's Rule

Ron's rule is not a pain in the butt,
Just listen to what I have to say, and you'll have a shortcut!
Even number of negative integers equals positive.
Odd number of negative integers equals negative.
See! It isn't all that bad,
I hope you didn't get all that mad.
Use Ron's rule and you'll never fail,
Use this rule, and don't bail!

Tanka:Quotative

Simply use pictures
Use algebra tiles for this
Draw amount needed
Circle number of groups told
How many circled groups seen?

Free Verse:Partitive

Want to learn how to divide using partitive?
Well, I'm here to tell you, so don't worry, you'll live.
For partitive, you need to make groups.
This isn't one of those "oops".
Draw the amount of algebra tiles needed.
This is what I did, and I succeeded.
Share them like a deck of cards.
And no, I don't mean billiards.
How many algebra tiles in each group?
Now that you have your answer, you can go shoot some hoops.

Chapter Two: Combining Like Terms and the
Distributive Property

Here's my script:
Matthew: Hi, Auntie Donna!
Auntie Donna: Hi Matthew!
Matthew: I have a math test tomorrow and I was wondering if you could test me with a couple of algebra questions.
Auntie Donna: Oh, sure. Hmm... Let me think of one... How about n+3-5n+12.
Matthew: Hmm... I think the answer is -6n+15
Auntie Donna: Your answer is incorrect, Matthew. Let's simply go back and take a look at how to do this question, and what you did wrong while solving it.
Matthew: Oh, shucks! Well, alright...
Auntie Donna: Well, first you must re-group the numbers to make it easier to solve. Therefore it should be, n-5n+3+12.Then combine like terms and solve it. Which means combine all the terms that are the same. Now, it should be, -4n+15. Now you have simplified it.
Matthew: Well, what did I do, to get my incorrect answer?
Auntie Donna: Hmm... Well, if we go back and look at it, you added -n and -5n instead of subtracting -5n from n.
Matthew: Oh, I see I see... Can you give me one more question?
Auntie Donna: Sure. How about, 2+4(3n+8).
Matthew: Okay, I'll try it. Uh... I came up with 12n+10.
Auntie Donna: Once again, you're incorrect. Let's go back and do step by step again.
Matthew: Aww... okay.
Auntie Donna: Okay, so with this question, there is distributive property going on. You can underline it so that you know where it happens. So, put the 2 first because you know that it's going to stay because it's not part of the distributive property. Now, take the number beside the bracket and multiply the two terms inside the brackets. It should now be, 2+12n+32. Now re-group it. It should be, 12n+2+32. Combine the like terms like last time. It should be, 12n+34. And that should be your simplified expression.
Matthew: Oh, right. Well, explain to me what I did wrong.
Auntie Donna: Oh yeah. Well, when you first looked at the question, instead of multiplying both terms in the bracket, you just multiplied the first one, and added the last two integers. Which is why you got the answer 12n+10.
Matthew: Ooooohhh. I get it now. It really is easy now that you've explained it all. Thanks Auntie Donna! I hope I do well on my math test.
Auntie Donna: Oh, I'm sure you will, but just remember to go step by step. It's okay to use lots of paper because we recycle!

Here is my math video on xtranormal.com :)

Chapter 3: One Step Equation Solving
Additive: First, I isolated the variable. I isolated the variable by adding its opposite, which would be -2. Since I added -2 to the left side, I must balance it out, so I have to add it to the right side. After that, I crossed out +2 and -2, because they make zero pairs, and zero pairs are worth nothing. Then, I got n=6-2. So I solved 6-2, which led me to n=4. Finally, I verified by plugging in what n equals where n is supposed to go.
Subtractive: First, I isolated the variable by adding +3 to the left side, then I also did it on the other side to balance it out. Next, I crossed out -3 and +3 because they are zero pairs. Next I solved 7+3. Then I got n=10. Finally, I verified by plugging in what n equals where n is supposed to go.Multiplicitave: First, I isolated the variable by dividing 3n by 3 on the left side, and I also did it on the right side to balance it out. Then I crossed out 3 and 3 because they cancel eachother out. Next, I solved 6/3. Then I got n=2. Finally, I verified by plugging in what n equals where n is supposed to go.


ATTENTION PLEASE ! : On, my title of the picture there, I meant to put DIVISIVE, not DIVISITIVE. Thank you. :)

Divisive: First, I isolated the variable by multiplying n by 2. Then I got 2n/2. I also did it on the other side to balance it out. Then I crossed out the 2 and the 2, because they cancel eachother out. Then I solved 4(2) and I got n=8. Finally, I verifiedby plugging in the what n equals where n is supposed to go.

Chapter Four:


5 comments:

  1. mbale 8-41 said...

    GOOD JOB SUTCHAI! I loved you're partative poem. " How many algebra tiles in each group? Now that you have you're answer, you can go shoot some hoops " That's my favorite part :):)

    December 5, 2008 at 10:49 PM  

  2. sayyouknow 8-41 said...

    Good job on all your poems Sutchai ! (: I agree with Michelle, I loved your partitive poem! :D

    December 6, 2008 at 4:03 PM  

  3. gelli 8-41 said...

    GOOD JOB SUTCHAI! (: You did an excellent job on making your pictures and explaining every step on how to solve each equation correctly. I love your pictures because they were done very neatly! ;D The movie that you did with Michelle was very good and was done very well! Keep up the good work and good job once again! (;

    January 20, 2009 at 5:39 PM  

  4. ochoa 8-41 said...

    wonda ! hahahaa . good job with everything . i loved how your poems stood out cause of the colors ! i loved your partitive poem too ! it talked about basketball ahahaa.

    February 11, 2009 at 8:24 PM  

  5. ochoa 8-41 said...

    wonda ! hahahaa . good job with everything . i loved how your poems stood out cause of the colors ! i loved your partitive poem too ! it talked about basketball ahahaa.

    February 11, 2009 at 8:24 PM  

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