The Great Big Book of Algebra

Wednesday, December 3, 2008
Chapter 1: Integer Poetry

Adding Integers
(HAIKU)
To add integers
You have to have and to owe
Let's add integers!

Subtracting Integers
(FREE VERSE)
Subtracting integers does not exist
When there is a subtracting sign, I try to resist
you change the minus to a plus

The Rule for Multiplying Integers
(FREE VERSE)
When brackets kiss we multiply
this is something we can't deny
this rules says it all
it helps me not want to crawl
when you multiply an even amount of negatives
your answer will always be a positive
when you multiply an odd amount of negatives
your answer will always be a negative

Partitive Division
(PICTURE POEM)
Partitive
Division

You use this for dividing a positive and a positive, a negative and a negative and especially for a negative and a positive question. So don't ever forget the question-- How many equal parts are in _______ groups when we have _______?

Partitive
Division


Quotative Division
(Free Verse)
Once there was a man who doesn't know how to divide
and that's why he can't find himself a bride.
He cried and cried .
He wants to learn how, so he tried and tried
He learned the partitive and the quotative way to divide
now he's a man with so much pride.

Chapter 2: Combining like terms and the Distributive Property

Script:
Joysie: Hey Reymel! How's it going?
Reymel: BAD! I can't do my homework. It's too hard.
Joysie: Well, maybe I could help. What is your homework about?
Reymel: Algebra, combining like terms and distributive property.
Joysie: I can help you! We learned that in Mr. Harbeck's class!
Reymel: Well then Joysie let's go do algebra!
Joysie: uhmm yes Reymel.
Reymel: Okay, these are the questions and this is what I got so far.
Joysie: 2 questions? You have got to be kidding me!
Reymel: The first question is n+3-5n+12.
Joysie: and what did you get?
Reymel: I got -6n+15
Joysie: are you sure?
Reymel: I don't know that's what I got, I did what I'm supposed to do and that's what I got.
Joysie: Okay. First of all, you can only have 1 variable and 1 constant. I can see you have 2 variables and 2 constants. Let's fix that! Just follow me and listen carefully. Let's put all of the variables together. So it's -5n+n+3+12, isn't that easier and better?
Reymel: I guess? But how do you solve it?
Joysie: You don't solve it silly! There's no equal sign which means it's not an equation. You're going to simplify it so you'll have 1 variable and 1 constant.
Reymel: Oh my god! Really? Can you show me how to simplify it?
Joysie: Sure. But you have to do the next one by yourself okay? Okay, let start! So we put them all together, constants and variables, now we have to add them. Let's do variables first, -5n+n is -4n and the constants, 3+12 is 15. Now, when we put them all together we get -4n+15. We call this combining like terms.
Reymel: Okay. The question is 2 + 4(3n+8).First, you're going to write down 2+ because we have to solve the ones inside the brackets.Then, you're going to multiply +4 with the numbers inside the brackets. So, 4 times 3n is 12n and 4 times 8 is 32. When you put it all together it's 2+12n+32 which has to be simplified still.
Joysie: Oh, oh.. I know what it is! It's 12n+10
Reymel: uhm....no Joysie. Will you let me finish first?Constants all together is 2+32+12n. There are 2 constants and 1 variable which means I have to add the variables. 2+32 is 34 so the answer is 12n+34.
Joysie: wow, impressive.


Chapter
3: One step Equation Solving

This chapter is about how to solve one step equations. To do that you have to do the following steps:

Isolate the variables by
Canceling using the
Opposite
Balance
Verify


Here are the pictures that shows the steps one-by-one.

Adding:

Subtracting:



Multiplying:


Dividing:




Chapter 4: One step Equation Solving with Algetiles

This chapter is about how to solve one step equations. Just like Chapter 3, you isolate the variables by canceling using the opposites. You balance it. Then last, you verify. But in this chapter we didn't show it in pictures, we showed it with ALGETILES as a movie.

Here's the movie that shows the steps one-by-one:



video

5 comments:

  1. Joysie 817 said...

    Wow, I can't believe that no one commented yet. I guess I'll be the first.

    Your poems were so well done Karen! It seemed like it took you a while just to complete those because it was done so well. I really liked how all of your poems rhymed and I liked how almost all your poems were different types.

    One thing that I would try to fix though is the 'Chapter 1: Poetry' title, sometimes blogger has 'issues' and makes things closer together. I think that you fix this problem by adding an extra space or two.
    [I don't know exactly if Blogger has problems or if it's just my computer acting strange.. :P]


    Other than that I would like to congadulate you on a job well done! ☺

    December 4, 2008 at 8:29 PM  

  2. linda 8-17 said...

    HI KAREN! FIRST OF ALL, I would like to say your title was very colourful and vibrant, and I like it very very much :).
    I'll talk about each of your poems briefly and concisely because they aren't that long!

    Your haiku is very good, but I would change the middle line a bit, because it's a tad confusing :S

    For your subtracting poem, I have a conflict. You don't change a plus to a minus, you leave it as it is. We don't change a plus to a minus, because we only change minus' to plus' because we are able to add negatives. Holy tolito did that ever make me confused. It's all the minus' and plus'. You see, THIS is EXACTLY why we should be using the terms 'negatives' and 'positives' on a daily basis!
    I think you got confused on that one a bit, or did not read it over. But NO FEAR! YOU'VE GOT TIME TO REVISE, KAREBEAR! :)
    Possibly, I think you meant the proceeding integer (if it were a plus) you meant THAT would be changed to a negative integer. Hmm, I'm not sure! I think you should revise this poem for sure!

    In your Free Verse Rule for Multiplying poem, you said "these rules says it all"
    It should be changed to "These rules say it all" OR ! "THIS rule says it all"
    You should check your grammar next time!

    In your last poem, I found two mistakes; In one of your lines, you said "cried" four times! It is not neccessary, whatsoever. If you want to emphasize the word, I would suggest italisizing, bolding, underlinging, or just writing it twice. It wouldn't ruin the beat of the poem, trust me.
    The second mistake is your last line. It says "now his a man with so much pride."
    Switch the "his" for a "he's" and you'll be just fine :)

    NOW I'M DONE WITH THE NEGATIVES, ONTO TO POSITIVES!
    I like that you used brackets to identify which poem is what type, it was very helpful! I think your best poem (a mon avis:) >> in my oppinion) is the free verse one about the rules of multiplying! I think it was the MOST helpful, and easy to remember, too! KUDOS, KAREBEAR:)

    - DUCK .

    December 4, 2008 at 9:43 PM  

  3. sharmayne8.17 said...

    Kaaaren (:
    Hey karen!You did such a good job on your poems. Your rhyming was really great ! You had great use of colours, and they really caught my eye. Keep up the great work !
    K3 Shaaar

    December 6, 2008 at 11:27 AM  

  4. nikki 8-17 said...

    Great job Karen. I like your poems. They were well done! I also like your math movie. You really explained how to combine like terms and how to do the distributive property. Joysie and your brother were in your movie!! I didn't find any mistakes. Well, anyways keep up the good work! :)

    December 18, 2008 at 9:45 AM  

  5. camille817 said...

    KAREN!

    Hey Karen good job on your movie I really liked it! :) you explained everything very well I liked how you used the words "constant" and "variables" over all excellent job! :D keep up the good work!

    - mini mae ^^.

    December 18, 2008 at 8:38 PM  

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