The Great Big Book of Algebra

Friday, December 5, 2008
Chapter One :


Adding Integers - Haiku

Combining Digits,
A number line is the key,
Sum is the answer.

Subtracting Integers - Free Verse

Take away from that,
That is what you call subtract.
Instead, change the line,
add the opposite is fine.
and maybe even better,
do the rest and you are done.

Partitive Division - Tanka

Use equal parts here,
Imagine dealing out cards.
Give some to each group.
Make sure it's equal,
That is the answer.

Quotative Division - Free Verse

Peek-A-Boo, I see you.
Find me in, a number bin.
How much of me, can you see.
Circle me how many times,
Don't worry it's not a crime.
The number of me,
Is your answer you see.

Ron's Rule - Free Verse

Ron's rule isn't hard,
Just use when multiplying.
Negative numbers,
Odd is Negative,
And just vice versa.

Thanks for reading and here's a little extra since I put this off to the last minute.
Hope you enjoy.




Chapter 2 :

Combining Like Terms and the Distributive Property.


Pog: Hey
Adalrico: Hello. How may I help you?
Pog: I'm kind of low on money as you can see from my clothes, so I was wondering if you could make me a bank account.
Adalrico: Surely I could do something. Although, in order to obtain an account, you must go through a series of questions. It's a new policy that the manager has created.
Pog: Yeah whatever, as long as I get my account. I haven't eaten in days you know.
Adalrico: Well the first question isn't that hard, and if you graduated in school, you should answer this easily.
Pog: Alright then.
Adalrico: The first question is "n+ 3 -5n +12"
Pog: Algebra huh? That rhymed, im a poet and I didn't know it.
Adalrico: Please, just answer the queastion.
Pog: Well, I remember something about this in school. Maybe if I bring the N and -5n together, so then if i have negative 5 n's, and I add the other n, that would equal to negative 6 n's (-6n). Is that right so far?
Adalrico: Just continue and I'll tell you once you get your complete answer.
Pog: Fine then. So now, I'm left with -6n +3 +12. This part is easy, I just add the 3 and 12 to get 15. So my complete answer is now, -6n +15. Is that right?
Adalrico: I'm sorry sir, but that is incorrect.
Pog: What!? Show me then if your so smart.
Adalrico: Well, the last part you did was right, the part where you got positive 15. The part where you got wrong was when you were adding the variable.
Pog: Very what?
Adalrico: The variable, the unknown number. The n.
Pog: Oh okay, so how do I do it then?
Adalrico: Well sir, as you can see, there is no negative sign in front of the n. Although, there is a negative sign in front of the 5n. So, it's a simple addition question. Add 1 positive n to 5 negative n's. What would that equal?
Pog: Uh, it would equal a number.
Adalrico: Wow, it's very simple. That equation would equal to negative 4 n's (-4n).
Pog: So the right answer would be -4n +15?
Adalrico: Precisely.
Pog: I knew it! Well, kind of.
Adalrico: Well Pog, you could still get your bank account, but you would have to answer at least one question right. Would you like another question?
Pog: Bring it on then, I'm prepared for anything you give me.
Adalrico: Very well then. Your next question is 2 +4(3n +8).
Pog: Umm, hold on, let me try and remember what to do if there is brackets. I got it! When a bracket is touching a number, you multiply the two. So 4 multiplied by 3n. I think that would equal to 12n! Now that the brackets are gone, I'm left with 2+12n+8. Since I can't add the 2 to the 12n, I add it to the positive 8. So then, that would equal positive 10!
Adalrico: Once again, you are wrong.
Pog: Are you for real?
Adalrico: Sadly, yes. You messed up when you saw the brackets. It's true that you multiply when a number is touching a bracket, but in this case, we will use the Distributive Property.
Pog: Okay then, but how does it work?
Adalrico: When a number touches a bracket, the number outside of the bracket multiplies the numbers inside the brackets. So since the number touching the bracket is +4, and one of the numbers inside of the brackets is 3n, we multiply those two.
Pog: So it would be positive 4 multiplied by 3n right?
Adalrico: Exactly, now your getting the hang of it. Do you know the answer to that?
Pog: Well, if I have 4 groups of 3n's, then I would end up with 12n's! Right?
Adalrico: Yes, now since there is one more number inside of the brackets, you multiply the four with that number inside.
Pog: So, since a positive 8 is still in the brackets, you multiply that with the positive 4. Am I correct?
Adalrico: Of course. That would equal what Pog?
Pog: Uhmm, 4 groups of positive 8 would equal, 32!
Adalrico: Correct once again. Now tell me the all the integers you have so far.
Pog: 2 +12n +32. Just like the first question, I add the same type of numbers. Since the 12n doesn't fit in with anything else, I add the other two integers.
Adalrico: So then the integers you're adding are 2 + 32.
Pog: Finally, an easy question. 2+32 would simply equal 34.
Adalrico: Do you know what to do next?
Pog: Of course, you put the two integers together and create an expression.
Adalrico: And that expression would be?
Pog: It would be positive 12n +34.
Adalrico: At last, you come up with the right answer. Even if you made mistakes, but we'll forget about that. Have you learned from your mistakes?
Pog: Yeah, now may I have my bank account, I'm getting pretty hungry.
Adalrico: Haha, sure. There, your all ready to go.









Anyways, I made two videos because my script couldn't fit on one movie.
Thanks for watching, and please comment!



Chapter Three :
is not yet done, but I'll finish this ASAP.


Chapter Four :

Here's the video that Adrian, Clarence and I made. Sorry for not describing it enough.

Great Big Book of Algebra

Adding Integers - Cinquain

Adding
more than
gain, plus, sum
more than one number
Combining

Subtracting Integers - Picture

Subtracting is very easy and kind of fun. If you get stuck
use a number line if you do that you will be just fine

Partitive - Free Verse

How many equal parts are in 2 groups when you have 6?

you have to
draw to circles for the groups
you have to
share equally
you have to
act like dealing cards
you have to
listen to me

next thing you know
YOUR DONE

Quotative - Haiku

Quotative is clear
You circle tiles that you have
That is all it is

Ron's Rule - Haiku

Two negative tiles
Makes the answer postive
Also vies-versa

HEY me and dean decides to make a rap to go along with the poems. I hope you appreciate it.





Jeremy:HEEEEEEEY you look smart ............you want to help me out
Allan:SURE.....whats your problem
Jeremy:i have this really hard math question
Allan:whats the question?
Jeremy:its .......n+3-5n+12 i think it is -6n+15 but my friend said i was wrong ....so can you tell me the answer
Allan:well let me think........ the answer is -4n+15
Jeremy:how do you know its -4n+15?
Allan:because......if you group like terms you get -5n+n+3+12, -5n+n is -4 and 3+12 is 15 you put it together and you get -4n+15
Jeremy:Oh i get my mistake i thought it was n+5n+3+12 so my answer was 6n+15.......okay, that explains that question, but what about 2+4(3n+8)
Allan:okay so this question has something called the distributive property. First you drop down the 2 then you multiply 4 and 3n which is positive12 after you multipy 4 and 8 which is 32 it should now be 2+12n+32.....after you should know you put like terms together which would make it 12n+2+32, and you just do simple adding 2 plus 32 is 34 and you just drop the 12n......so your answer should be 12n+34
Jeremy:OH okay, that makes sense i thought you add 2 and four so i put 6 multiplied by 3 then 6 multiplied by 8 which mad my answer 18n+48 now i know i was wrong..........hey thanks for all your help by the way my name is Jeremy
Allan:well your welcome and my name is Allan

NOW the movie

Scribe Post for December 5, 2008

Hello everyone ! Today, we corrected our homework from yesterday, part C. We had to translate each English statement or sentence into mathematical form.


Here are questions 1, 4, 9, 15, 18, 23, and 24 from part C :

Question 1:
Question 4:
Question 9:
Question 15:
Question 18:
Question 23:




Question 24:




Homework : Pink booklet part I, questions 1-24 on page 90.

Now for the next scribe ..................................... G-G-G-GELLI ! Good luck ;)

Great Big book of alegebra.

Hi my name is Brenden and here are my poems.





Adding Integers







adding integers is very easy to do
all you have to do is listen







Subtracting Integers






First you have to change and then you have to ad
this way you wont be so mad.









Multiplying Integers






2 times 2 is 4
if you get this right opportunity will be at the door








Ron's Rule




Ron's rule says that if I have odd amounts of negative integers I will have negative integers if I
multiply them. I think that rule is the creme de la creme.
Dividing integers
2 divide by 2 is 1
if you did this right you are as bright as the sun
Partitive Division
Megan has 5 bags of cookies
that look like wookies
all together she has 15
and all the people think she is the math queen.
Quotative Division
Quotative divison is how many 2s in 6
the way you can show this is with sticks!

PART 2

Hello son! Whats going on?

Im just going to my band practice.

That sounds like fun. But first your going to have to tell me something.

Whats that?


Can you tell me what N means?

It's a number value.

Good job son! Your very bright!

Thanks dad.

Can you solve N plus 4?

No i can't because you didn't give me the sum of the question.


Im glad you caught that. The sum is 14.

ok then N would be 10.

Great job!

How did you get that answer?

First i needed the sum.

Then I figured out what went into 4 to make 14.

Wow thats great!

Now can you tell me what N plus N multiplied by 6 is?

Can i have the sum please?

Its.....54.

Ok....5 plus 4 equals 9 so then.....6 times 9 is......54!!

Wow son thats very good.

Oh i think the band is here.

Bye dad!

Bye son! Good luck!





































Chapter 4

Great big book of algebra

adding integers

a
d
d
i
n
g
i
t
e
g
e
r
s
negative integers erase the positive. but positive integers create more integers
n
e
g
i
t
i
v
e
p
o
s
i
t
i
v
e


subtracting integers

subtracting integers is not so hard
because it is just adding in reverse.

positive and negative integers

positive
beneficial, successful
gain, existent, additive
confident, helpful, loss, erase
unlucky, nonexistent, fake
subtractive, integer
negative.

Quotative

quotative division is truly easy
you highlight what is there
if you can not see it all
you may want to cut your hair.








Chapter 2


Mac: hi im a Mac

PC: hi im a PC

Mac: hey PC i need some help on some algebra questions

PC: hmm... so what is the question?

Mac: it is
n+3-5n+12

PC: ok so the answer is .......what?

Mac: i think the answer is -5n+n+15

PC: *pulls out a callculator* no its -4n+15

Mac: so where did i go wrong?

PC: you did not add the two N's

Mac: oh i see ok well ive got another question i need help with

PC: oh whats that?

Mac: the question is
2 + 4(3n+8)

PC: ok so what is the answer im a little slow with math

Mac: well i thing the answer is 2+7n+32

PC: it is but i thought you had to multiply the 4 and the 3n because there was a bracket and add the 2 to the 32 to make 34?

Mac: oh ya i ok then so the answer is 12n+34?

PC: ya i think that correct. was that all the math questions?



Mac: ya thats it for now

Mac & PC: goodbye every one and merry Christmas!



Chapter 3

Chapter 4

The Great Big Book Of Algebra

Haiku - Adding

I know how to add

Adding integers is fun

You can do it too





Tanka - Quotative


Dividing is hard

Not dividing is harder


You circle the squares

Then you count how many groups

Then you are done now!





Free verse - Subtraction

Subtraciting is very fun

When you know how to add one plus one

that makes it very fun

Subtracting is easy

But not for the weezy

Subtracting is impossible

But adding is possible



Free verse - Partitive



If you partitive you must share



Because sharing is caring



And caring is good



Being good is great



Great is better than being bad



And if you're bad I'll be mad





Haiku - Ron's rule



When I multiply



Odd amounts of negatives



You get negatives







Biff "Hi Mortimer, what did you do today?"


Mortimer "I went to school, nothing special."


Biff "What did you do at school today?"


Mortimer "I answered a question, n+3-5n+12."


Biff "And what was the answer Mortimer?"


Mortimer "-6n+15"


Biff "No! The answer is -4n+15."


Mortimer "Okay, chill man, chill."


Biff "Okay. I'm sorry for yelling at you. Here, I'll show you what you did wrong."


Mortimer "Aww man."


Biff "First you circle the first variable you see. Circle n and 5n."


Mortimer "Then you answer it?"


Biff "Don't try to rush me. You group them. Now the question is n-5n+12+3


Mortimer "Then you answer it?"


Biff "Then you answer it. n-5n is -4n and 12+3 is 15. The answer is now -4n+15."


Mortimer "We're done!"


Biff "Not quite. To see if you were really listening, answer this question, 2 + 4(3n+8)."


Mortimer "Umm. Is it 12n+10?"


Biff "No! What do you learn in school these days!"


Mortimer "Okay Biff, please don't hurt me!"


Biff "I won't hurt you buddy. You're my best friend. I'll show you how to do it. It's called distributive property."


Mortimer "Not another long word..."


Biff "Here's how you do it."


Mortimer "Biff I'm hungry so I'm going to grab a sand which."


Biff "You're not going anywhere until I burn this in your tiny pathetic head, you got that?"


Mortimer "O.K. I guess."


Biff "First I'll tell you the answer. 12n+34."


Mortimer "Okay, I'll say it. How'd you get that Biff?"


Biff "Well Mortimer first you circle the numbers you have to multiply in the brackets. So, you multiply 4 3n and 4 8 that's 12n and 32 then you just drop down the 2."


Mortimer "And now we solve it."


Biff "No we regroup the numbers so your question should look like this 12+32+2."


Mortimer "Now we solve it. 32+2 is 34. The answer is 12n+34, yay."





This is my xtranormal video.


Chapter 4 Algetiles

The Great Big Book of Algebra

-Chapter 1

Adding Integers; Cinquain
Adding
Easy, Simple
Combining, increasing, solving
The answer is called a sum
Addition
Subtracting Integers; Tanka
No such thing as subtracting
You end up with a minus
You invert the sign to plus
Last you add its opposite

Partitive Division; Free Verse
It's staring you right in the face
Partitive, partitive , partitive
And you dont know what to do
Just follow along with me and learn
It's simple you see,
You need to share pieces equally
You make some groups
You make some tiles
Hand them out one by one
Until you're left with nothing, nada, none
So really it's just sharing equally (:

Quotative; Haiku
Circle groups needed
In the group of tiles
See how many groups

Ron's Rule; Free verse
Ron's rule as we call it, hard?
Not at all. Easy is much better!
All you have to do is listen
Multiplying an odd number of integers
Will give you a negative answer
Multiplying an even number of integers
Will give you a postive answer
Thanks for listening!


Chapter 2 Combining like terms and the Distributive Property

SCRIPT:
Lucy: Hey, how are you doing with the math work?
Vince: I'm doing pretty good! What about yourself?
Lucy: Well actually I was wondering if you could help me with this one algebraic expression... 'n+3-5n+12'.
Vince: Hm, it's not that hard you see. All you have to do is organize the terms, you circle like terms then regroup all of it. Then you simplify.
Lucy: I think the answer is '-6n+15', am I correct?
Vince: You circled 'n' and '-5n'... You regrouped, so then the expression should be 'n-5n+3+12'. Then simplified it should be '4n+15'. There's where you went wrong! Instead of adding a positive 'n' to '-5n' you added a negative 'n', that's how you got '-6n+15'!
Lucy: Oh really?! Wow, I never realized that I have made that mistake, and the answer should be '-4n+15'? ... Thanks for helping me, if you need some help I'll be there!

*A few minutes after working in silence.

Vince: Hey, since you said you'd help me if I needed it, could you help me with just this question... '2+4(3n+8)'. I came up with the answer '12n+10'.
Lucy: This uses the distributed property: '4(3n+8)' and you use bring down 2. You have to identify your terms inside the brackets, which are '3n' and 8. Then the next step you multiply '3n' by the number 4, and 8 by 4. Then if it's properly simplified the question should now read: '2+12n+32'.
Vince: That's what I wrong! I see now, continue please.
Lucy: You then circle the like terms 2 and 32. Reorganize the expression, then combine like terms! Then answer should be '12n+32'.
Vince: Oh! Thanks for helping me solve the question!
Lucy: You're welcome!
Vince: Hey, wait!
Lucy: Yes, what?
Vince: Do you want to go to lunch together?
Lucy: Sure, of course. Thanks!

The day passes..
THE END!



Chapter 3: One Step Equation Solving

Additive Equation: The first thing I did was isolate the variable by adding it's opposite; (-4). The next thing I did was to balance the equation by doing the same thing you did to one side to the other. The equation should now look like this: -4+4+n=6-4. Then I cancel out the zero pairs! Now you should be left with n=2. Verify is the next thing you do, replacing the variable with 2.














Subtractive Equation: Isolate the variable by adding the opposite of the constant; (-4). Balance it out doing the same thing to the other side: x-4+4=8. Cancel out, and you should be left with x=12. Don't forget to verify.













Multiplicitive Equation: Isolate the variable, divide by 2 on both sides so they're balanced! Then all your left with: n=8. Now all you do is verify, you replace 'n' with 8: 2(8)=16. Does that work? YEAH! 16=16









Divisive Equation: The first thing you have to do is to isolate the variable just like all the previous ones. What's the opposite of dividing by 5? Multiplying by 5! Then don't forget to balance the equation out, by doing the same thing to the other side. Zero pairs should be gone now! The last step is to verify, to make sure it's correct. 2=2























Chapter 4: Algetile Video