### The Great Big Book of Algebra

Friday, December 5, 2008
Adding Integers(Free Verse)

On my way home
I think of a math poem
Addition, subtraction, division, and multiplication
Which will I choose as my inspiration

A number added to another number
Will give a sum for an answer
Adding both positive and negative number
Will give you a sum of an even number

Adding integers is interesting
Like the first time I started singing
Adding both positive will give a positive sum
That`s what I tell them, and they just sit there on their bum

So next time if you want to know something about adding integers
Just remember what I said, because it`s as easy like opening letters.

Partitive Division(Haiku)

Dealing with some cards,

Sharing equal numbers of
cards with each player.

QuotativeDivision(Haiku)

Doesn't work for the
negative and positive
integer question.

Subtracting Integers(Free Verse)

Right after we finished learning about adding integers
Mr. Harbeck told us that the
next thing we will learn about is subtracting integers
He said that subtracting is a myth,
To subtract integers you need to add the opposite

After he explained everything
He gave us work to do, and
I started subtracting
Subtracting is like adding integers
But using different numbers

When you forget how to do it
Just think, think, think
And it will come to you as fa
st as a wink!

Rules for Multiplying Integers(Free Verse)

If you want to do better in school
Just follow these rules
When you multiply integers remember not to get confused with the order of operation

Don`t you forget it or you will get the wrong answer for the equation
If you multiply an odd amount of negative integers your product will be a negative
When you multiply an even amount of negative integers your product will be a positive
If you think about it, it`s r
eally easy
just keep on trying until you are sleepy

Chapter 2: Combining Like Terms and The Distributive Property (script)

Characters: Sasha, and Jasmine

Sarah: Hi, Jasmine! So did you finish the questions that Mr.Harbeck gave us for homework?

Jasmine:
Yes I did. The answer that I got for the question: n+3-5n+12 is -4n+15.

Sarah: The answer that I got for that question is -6n+15, but I'm not sure if it's right. Can you explain to me how you solved that question?

Jasmine:
Of course I will help you. First step is you need to put n and the -5n, and find the answer which is -4n. Then add the +3 and +12 which gives you +15. Next, combine the variable which is -4n with the constants
that is +15, and you get the answer -4n+15.

Sarah: Wow! I never knew that it was supposed to be solved that way. At least now I have the right answer. For the second question: 2+4(3n+8), the answer that I got is 12n+10. Could you please help me solve it, to find out if my answer is wrong or right?

Jasmine:
No problem! First, you need to keep the 2. Then multiply the +4 and the 3n inside the brackets, giving you +12n. Next, multiply the +4 and the +8 inside the brackets, giving you +32. After multiplying the +4 with each of the terms inside the brackets, put the variable which is +12n in the front. Next, add the co
nstants, which is +2 and +32, giving you +34. Finally, combine the +12n and the +34, and you will get 12n+34.

Sarah:
Now I know how to co
mbine like terms and how to solve an algebraic equation with a distributive property. Thanks, Jasmine for all of the help.

Jasmine:
You're welcome, Sarah! I'm just glad that you understand everything that I taught you.

THE END!!

CHAPTER THREE: One Step Equation Solving

Here are 4 different equations.

When you are solving a multiplicative type of equation, you need to use ICOBV. First you need to isolate the n, and to do that you need to cancel using the opposite of multiplication which is division. So you divide 3n to 3, and to balance it you need to do the same thing on the other side which is dividing the 6 by 3. N will equal to 2. The next thing you do is verify. To verify you need to rewrite the equation and then replace the n with the 2. Finally, you need to write 6=6.

When solving a division kind of equation you will still need to use ICOBV. First you need to isolate the n. To isolate the n you need to use the opposite of division, which is multiplication. Multiply the n by 4 and balance it by multiplying by 4 four on the other side so you need to multiply the 3 by 4. Your n will be 12. The last step is to verify. Rewrite the equation and replace the n with 12. Finally, write 3=3 to finish solving the equation.

To solve a question like this you will still need to use ICOBV. First, you need to isolate the n, and to do you have to use the opposite of addition which is sutraction. You need to add a negative 9 on the left sideand add a negative 9 on the other side to balance it. Then your n will equal to 26. As always the last thing to do is to verify. To verify you will need to rewrite the equation and substitute the n with the 26 which will equal to 17. Then write 17=17.

For this last equation, you will need to use ICOBV again. First you need to isolate the n, and to do that you will need to use the opposite of subtraction which is addition. You will need to add a positive 6 on the left side, and do the same on the other side to balance it. Your n will be 20. The last thing is to verify it. Rewrite the equation and substitute the n with the 20, and it will equal to 14. Then write 14=14.

Chapter 4

Here is a video for chapter 4.

#### 9 comments:

1. linda 8-17 said...

Hi Jowella. I'm just going to talk about each of your poems briefly.
Your first poem (free verse, adding integers) was done well. But, on your second part, in the third line I believe, you said "Adding both positive and both negative number". You don't need to say both twice. Saying it twice kind of confuses the reader. So, just say "Adding both positive and negative number" ... Actually, you should revise that to "Adding both positive and negative integers". It makes it a lot more clean :).
OH! You should also consider using some punctuation, missy!
Your partitive division haiku was good, and I thought that your Quotative division was quite interesting because it makes a sentence that fits into being a haiku. COOL!
Your subtracting integers free verse poem was good, so I don't really have anything negative to say about it!
I liked your last poem best because when you wrote it, it seems as thought it is a story! Tres chouette :)
I enjoyed reading your poems thoroughly! The colours complimented eachother, and were bright and vibrant. Good job, Jowella! Keep up the good work!

-Ducky

December 5, 2008 at 11:20 PM

2. linda 8-17 said...

ALSO! If you can, get rid of all that empty space at the bottom... Think about it! What if you were to print this out, and you have all that wasted space? SAVE THE TREES :)

-Ducky.

December 5, 2008 at 11:21 PM

3. Joysie 817 said...

Hey, Jowella. Nice Poems. Most of them ryhmed really well and came together so well.

I think you made a few errors though. Like in the first poem it says 'Adding both positive and both negative number'. I think it would be better if you didn't add the both in front of both negative and positive. It would also help if you added some punctuation. And also if you erased the empty space at the bottom of the post, it would take a lot less space.

But other than that i think that you did a good job. ☺

December 6, 2008 at 6:12 PM

4. Karen 8-17 said...

ELLA! Your poems were amazing! I like your use of color and the way you separated each poem. I like your haiku for quotative and partitive they're really cool! My favourite one is your last poem, Rule for Multiplication. GREAT JOB!
-Kayue;]

December 6, 2008 at 8:09 PM

5. Karen 8-17 said...

ad btw, there's so much empty space in the bottom you might want to clean it up so it looks better. ;)

December 6, 2008 at 8:23 PM

6. courtneyc 8-17 said...

ELLA!

Good job on your poems, great use of colour it makes the poems stand out more. I enjoyed reading your poems, well done!

- Keep up the good work Ella.

December 7, 2008 at 6:54 PM

7. nikki 8-17 said...

Good job Jowella! Awesome job on the math movie. You explain how to combine like terms and the distributive property very well. By the way, your poems were awesome! Anyway keep up the good work Jowella! ☺

December 18, 2008 at 4:25 PM

8. Karen 8-17 said...

Whoa Jowella! Well, I commented on your poems and now it's time to comment on your movie!
Hmm.. What can I say about my bestfriend's movie and script? I think I will say WHOA!:O Great Job!
Let's talk about the things that I like. I like the fact that you put the characters name I know it's not important but I still think it's brilliant. Second thing that I like is your story. Third is the way you explained the questions like how it's right and how you got the right answer ans stuff.
Thins that I don't like.
What are the thing s that I don't like about your scribe?? hmm..?????
NOTHING!!!
I read your script, watched the movie then watch the movie while reading the script aren't I ever so cool? I know I'm not! LOL;)
GREAT JOB!
-Karen:)

December 18, 2008 at 6:20 PM

9. camille817 said...

Ella!

You did a great job on your movie Ella! :) You explained everything very well! Keep up the good work!

manika^^.

December 29, 2008 at 12:50 PM