### Great Big Book of Algebra

Friday, December 19, 2008
Kat : Hey Rina!
Rina : Hey Kat.
Kat : Why are you sad?
Rina : Because I'm going to get in trouble when i get home.
Kat : Really? why?

Rina : Because I got a low mark in math on my report card.

Kat : Why is that? Don't you understand it?

Rina : Well, I don't really understand algebra and algebraic equations.
Kat : Oh really? Well, let me help you! its fairly easy.

Rina : Really? Okay thanks!

Kat : No problem! Well, let's get started!

Rina : Okay, well i remember us having this question that really tricked me. I'm pretty sure all we had to do was simplify it. Though i never really understood how.

Kat : Oh, well okay then, what was the question?

Rina : I think it was n+3-5n+12.

Kat : That's easy. The first step to simplifying this expression is to combine the like terms.
Rina : How do i do that? do i just put together the ones that are the same or similar to each other?
Kat : Exactly! you're correct. All you have to do is to combine the ones that are similar to each other.
Rina : Oh, okay so all I have to add first is n and 5n?
Kat : Yes. But since there is a negative sign before the 5n, which means that it is negative 5n. So when you add the n to the -5n, you get a -4n.

Rina : I get it! Okay, so whats the next step?

Kat : Alright, now the other ones that are the same.

Rina : 3 and 12?

Kat : Correct. 3+12 is?..

Rina : 15! 3+12 is 15!

Kat : Good job! So now that you have both of the numbers, all you have to do is add them together but don't solve it.

Rina : Don't solve it?
Kat : Don't solve it because there's no equal sign.
Rina : Right! which means it's not an equation because its an expression!
Kat : Exactly! So, do you know what the answer to the question is now?

Rina : Yes. When you simplify n+3-5n+12, you get 4n+12.

Kat : Good Job. You're right.
Rina : Thanks Kat. You're a really good friend!

Kat : You're welcome. I hope you get a better mark next time!

Rina : Me too!

### The Great Big Book of Algebra

Chapter One: Math Poems

(Haiku)

Subtracting Integers (Haiku)
Subtract integers
Just remember that you must

Partitive Division (Cinquain)
Partitive division
easy, simple
partitioning, grouping, sharing
sharing numbers evenly
partitioning.

Quotative Division (Free Verse)
Quotative division is easy to do,
for example the numbers six and two,
How many times does two go into six?
The answer is three (its as easy as cake-mix).
Make six into two equal groups,
If you said the answer is two, (oops)
The right answer is actually three
Now get it right, or you'll get stung by a bee.

Chapter two

Mr. Guy: Oh my, you look like a really sad clown. What's wrong?
Mr. Clown: Well you see, I was walking home from clown school and these two kids were laughing. They called me all sorts of things, but the one that got me the most is when they called me dumb. They told me that I couldn't do algebra!
Mr Guy: Mr. Clown, don't feel sad. Kids used to say that to me too, but when i grew up I became a teacher. That showed them!
Mr Clown: If you're a teacher, would you mind helping me slove these two algebra questions?
Mr. Guy: Of course I will, Mr. Clown. What are the two questions?
Mr. Clown: The first one is n+3-5n+12.
Mr. Guy: Easy peasy! The answer to that is -6n+15.
Mr Clown: Oh, but how do you know? What were the steps?
Mr. Guy:Well first of all, I did my grouping. That is when you combine like terms. For this equation, the like terms were -5n+n. Always remember that an "n" by itself always equals 1. So in this case, the answer to combining those like terms is -6n.
Mr. Clown: Hm, I get it! Well, sort of. Go on, Mr. Guy.
Mr. Guy: The same goes for the second part. We must combine like terms again. in the second part of the question, we are adding the numbers with no letter signs. That means we are adding +3+12. The answer to that is +15. That's how we get -6+n+15. Simple right?
Mr. Clown: Yes! I get it! But I don't think that my second question will not be as easy! It has brackets.
Mr. Guy: Don't worry. What's the question?
Mr. Clown: This question is 2+4(3n+8). Not as easy, huh?
Mr. Guy: Well easy enough! The answer is 12n+10!
Mr. Clown: Oh no, Mr. Guy. That doesn't look right. I think you're supposed to multiply 4 and 8, not add 8 and 2. It just doesn't look right the way you're doing it.
Mr. Guy:I thought you didn't know how to do algebra?
Mr. Clown: What? OH, i guess i just remembered from my years in normal school.
Mr. Guy:Well, Mr. Clown. The answer is 12n+34. You did good, now put a smile on your face!
Mr. Clown: Thanks , Mr. Guy! But about the smile part. I dont think i could do that, because this is the way my face is painted!

### Great Big Book of Algebra

Thursday, December 18, 2008
Chapter one : Math Poems

adding integers are fun
combining integers

Subtracting Integers--Picture

Subtracting Integers is decreasing number. You never really subtract integers
you add the opposite. use a calculator, but it's hard to put it in the right integer.

Partitive Division--Cinquain

partitive division
equal, groups
grouping, sharing, equaling
sharing equally with friends
Grouping

Quotative Division--Haiku

Dividing into
How many times does it fit
how much in each group

Pratts Law--Free Verse

When you multiply an even amount of negative integers the product is always positive
When you multiply an odd amount of negative integers the product is always negative

Math movie

Matt:Hi,James

James:Hey, Matt

Matt:Do you know about the distributive property

James: Ah..... No, No I do not

Matt: well do you want me to show you?

James:No, Not really but okay, show me

Matt: I would not show you if yo do not want to know

James: oh but I want to know

Matt: you do not sound like you want to know

James: Just show me before I leave

Matt: I will show you two explains

James: yes

Matt:n+3-5n+12

James: yes

Matt: +3+12=15,n-5n=4n,= 4n+15

James oh wow, that alot to take in

Matt: yah,i know it, and I'm sorry I have another one for you

James: oh great

Matt:okay.....2+4(3n+8)

Matt:4x3n=12n,4x8=+32, +32+2=+34 and the anwer is 12n+34

James: ah yah I get it now thank you bye

Matt:your going so fast

James: yes, I have things to do right now

Matt: ok bye bye

James:Yah.... see yah

### Mariahs great big book of algabra

Integer Poetry Part 1

confusing, recive
plus, total, combination
two plus two equals
integers

Subtracting Integers [Tanka]

its time to subtract!
subtracting is very fun
when I subtract I
take away different numbers
dont you just love subtracting!

Partitive division [diamante]

partative
group, part

2+4(3n+8) =

Chapter 2

Bob: hey there! how are you today ?
Charlie: well. not so good.
Bob: why is that?
Charlie: I have a math test on monday and I have the anwers to the math test, but I dont know how to solve them!
Bob: well maybe I can help you with them!
Charlie : that would be awesome thanks!
Bob: what is your first question?
Charlie: the first question is
n+3-5n+12 can you solve it.
Bob: hey thats easy the answer is -4+ 15
Charlie: wait wait .. ii have to check it first!
Bob: well..
Charlie: wow ! you got that one right. good for you Bob!
Bob: really well probly because it was easy.
Charile: yeah! would you like to try one more i never did?
Bob: shure okay we can both do it together.
Charlie: the question is
2+4(3n+8)
[thinking]
Charlie: got it!
Bob: hey me to!
Charlie: he answer is

### The Great Big Book of Algebra

Chapter 2

Philip: Hello there Dwight!
Dwight:(sigh) Hi Philip....
Philip:oh..whats wrong?
Dwight:I cant figure out this algebra equation
Philip:well then maybe I can help. Whats the question?
Dwight:I doubt it but you can give it a shot if you like.
Philip:Sure!
Dwight: n+3-5n+1 , I can't figure it out!
Philip:Okay, so first, what do you think the awnser is?
Dwight: I keep getting -6n+15 but I don't know if it is right!
Philip: hhmm. That does not seem right. Let me check.....Okay!
Dwight: you got the awnser!?
Philip: yup! Well to start your awsner was wrong! the awnser is -4n+4.. Now let me show you how I got that. First you would rewrite the question and combine the like terms like so
"-5n+n+3+1" then you simplify! so you will end up with this "-4n+4" .
Dwight: Oh! now I see. Thanks Philip!
Philip: no problemo. See you later Dwight!
Dwight: Wait! . uhhmm Philip?
Philip:Yes Dwight?
Dwight: Uhhhmm.... coudl you help me with another one?
Philip:Of course!
Dwight:Alright heres the question 2 + 4(3n+8) .
Philip: ahhh... distributave property!
Dwight:exactly I just don't know how to do it! This is what I keep getting 12n + 10 , but im not sure about it.
Philip: hhhhmmm. well let me have a go at it. Ohh. I see where your going wrogn Dwight.
see the awnser would be 12n+34 silly.
Dwight: Oh! well how did you get that?
Philip:you see . what you were doing was ading 2 and 8. What you have to do its times 4 and 3 and you get 12n. and then times 4 and 8 and you get 32. so then you take the 2 and add it to 32. so you will end up with 12n+32. see!
Dwight: Ohhhh! I get it!
Philip: Exactly!

Dwight: Yes. Thank you Philip!
Philip: No problemo Dwight!

### The Great Big Book Of Algebra

0Integers have hair own rules
you use zero pairs
positives and negatives
throw the zero pairs around.

Subtracting Integers

subtracting property

Partitive Division

divide into groups
is partitive division
sharing evenly.

Pratt's Law

to do this law you have to
remember s.s+
it means if both signs are the same
the integer is a positive
if both the integer signs are
different it is a negative.

Quotative Division

first you need to figure out how
many fours go into six
you also should use lots of picks
just so you don't get into a mix.

Sript

john: Hey seburn can you help me with something?
Seburn:What do you want help for?
john:I need help answering n+3-5n+12?
Seburn:I can show you how to do it but you have to give me something.
John:like what do you want?
Seburn: I will tell you later let's do the question.
John: Okay let's do it.
Seburn: I think the answer is -4n+15

### script

Wednesday, December 17, 2008
mystery guy: (crying)
snob: whats wrong with you?
mystery guy: i dont know how to do a math algebraic equation.
snob: oh well best be moving on now
mystery guy: WAIT! can you help me?
snob: I dont think so.
mystery guy: please, I will even pay you.
snob: well in that case yes
mystery guy: thank you,
snob: so what is the question, make it snappy
mystery guy: the question is, how do you simplify n+3 minus 5n +12, i think the simplification is -6n+15
snob: n n n no! you dumby it is -4n+15. your mistake was you added the n to the negative five and made it a 6n then added the 3 to the 12. the 1n minus negative 5n is just like 1 minus 5, IT EAQUALS 4!
mystery guy: thank you so so much. I have just one more.
snob: no. GIVE ME MY MONEY
mystery guy: no help no money
snob:dont make me beat you up.
mystery guy: please sir
snob: FINE BUT IT BETTER BE THE LAST!
mystery guy: thank you, the question is.. how do you simplify 2+4(3n+8). i think it is 12n+10
snob: you really are stupid. this is GRADE 8 MATH. for this you must do distributive property. you multiply the 4 and the 3n than you multiply the 4 and the 8 now it should be 12n+32 now you add the remaning 2 to the 32 and you get 34.
mystery guy: oh so the equation simplified is 12n+34. i see now my mistake was that I didnt multiply the 4 ant the 8, and i just added the two ok thanks. bye.
mystery guy: (walks away)
snob: GET BACK HERE AND GIVE ME MY MONEY

### The Great Big Book Of Algebra

Tuesday, December 16, 2008
Capter 1

(picture poem)

one plus one
two of the same sighn
gives you a posative
two of different signs
give you a ngative number
and lots of fun

Subtarting Integers
(cinquain)

Subtracting
easy,evil
takeing,removing,go away
five minus five equals
eliminating

Partative Division
(haiku)

negative one and
negative two partative
is two groups of one

Quotative Division
(cinquain)

Quotative
wierd,easy
divide,grouping,how many
always makes me mad
Division

Prats Integer Law
(free verse)

Two of the same
sighn will give you
a posative number
and two different sighns
will give you a negative
numberand that is
Pratt's law

Chapter 2

Bob: laura canyou come here pleas i need help whith these math questions!

laura: Ok what is the first question?

Bob: n + 6 + 5 n + 12

Laura: Ok i think i know how to do that.

Bob: great how?

Laura: first you group all the like terms

Bob: ok like n+5n+6+12

Laura: ya now you simplify even more by combinding like terms

Bob: ok like ... 6n+18?

Laura: Yes vary good! What is the next question?

Bob: 3(6+n)+8

Laura: ok i know how to do that one i will show you

Bob: ok thankyou

Laura: what do you think the first step is?

Bob: multiplying 3 by six and 3 by n to get 18+3n+8?

Laura: Yes good job!

Bob: ok then you just combind the like terms to get 18+8+3n and then further simlify it to get 26+3n?

Laura: Yes yes yes! see you knew how to do it all along!

Bob: huh ya i guese i did

Laura: ok is that all you need help with?

Bob: ya i can do the rest now thanks to you.

Laura: ok glad i could help.

Bob: Bye

Laura: Bye

### Great big book of algebra

Sunday, December 14, 2008
Put two and two together
Combining numbers

Subtracting integers
Subtracting integers
reducing, difference
switching subtraction to adding

Partitive division
Share between
it's like dealing cards
going back and forth
making even parts
i don't really like math
But i have to go down this path

Chapter two Combining
Like Terms

Son: Mom can you help me

Mother: Sure what do u need my help with

Son: My math homework

Mother: Oh what are u doing and what questions do you need help with

Son: Well we are combining like terms and Distributive Property, I need help with this question and there is a few more...

Mother: Wait. Lets just start with that question first what is the question.

Son: It is n + 3 minus 5 n + 12 .

Mother: Ok what do u think you have to do first

Son: I think I have to...? Ummm Combined the like terms?

Mother: Thats right! Good Job. So it is n + 5n in one bracket with 12 and 3 in the other. Then what?

Son: Well I need two different terms so i should solve the brackets.

Mother: Okay how would you do that then?

Son: Well n + 5n is -4n?

Mother: Good Job. and in the other bracket?

Son: Oh that is easy. 12 plus 3 is 15

Son: -4n + 15

Mother: Good...

Son: Ok The next question is 2 + 4 (3 n + 8)

Mother: Why don't you go try that one then if you need help just call me

Son: Ok i think i get it now so I mite not need your help. Thanks mom

Mother: Your very welcome

://wwhttpw.xtranormal.com/watch?e=20081218183321292

### The Great Big Book of Algebra

Wednesday, December 10, 2008
Adding Integers (Cinquain Poem)
Easy as cake
Add the two integers
Very Happy the questions finished
Subtracting Integers (Picture Poem)
Subtracting Integers, not really subtracting. All
you do is add the opposite and your on your way.
Partitive Division (Picture Poem)
Partitive Division all you
do is divide the
Numerator into the acquired
Denominator into equal groups.
Quotative Division (freestyle)
Quotative Division is just trying to
figure out how much is in that particular number,
Once you find out the answer. You'll feel way better
Rule of Multiplying Integers (Mirror Poem)
Multiply even amount of fo tnuoma neve na ylpitluM
Integers the outcome is always positive evitisop syawla si emoctuo eht sregetnI
Multiply an odd amount of fo tnuoma ddo na ylpitluM
Integers the outcome is negative evitagen si emoctuo eht sregetnI

Great Big Big Book of Algebra Part 2

Script:

Travis: lets get to it
Nacho: okay
Nacho: okay okay
Nacho: Simplify n+3 -5n+12
Travis: 8n+15?
Nacho: no buahahah
Travis: haha?
Nacho: the answer is -4n+15
Travis: how did you get that?
Nacho: I boxed up -5n and added N and then i added 3 and 12 which gave me 15, so the answer I got is -4n+15
Travis: I see now
Nacho: want another question? But it's distributive now
Travis: okay
Nacho: whats the answer to 2 + 4 (3n +8)
Travis: 14 + 3n?
Nacho: haha. you . fail
Travis: whats the answer then smart guy?
Nacho: I did the ones with the brackets first, so 4 is touching the brackets which mean we multiply. Now were doing distributive property, so we need to multiply 4 and 3n which equals 12n. Well get back to that later, now we multiply 4 and 8 which equals 24 and then we add the 2 in the beginning so the answer we should get is 12n + 26
Travis: Oh okay that helps a lot, Thanks!

### The Great Big Book of Algebra

Friday, December 5, 2008

Have 'n' owe will help you learn,
As will number lines,

Subtracting Integers (Tanka)

Subtracting Integers,
Plus and Minus make Minus,
Plus and Plus make Plus,
Both Minus will make Plus,
Minus with Plus makes Minus,

Partitive Division (Cinquain)

Partitive,
Equal Groups,
Solution for division questions,
Grouped Quantity,

Quotative Division (Diamante)

Quotative Division,
Fraction-like, simple,
Separating, dividing helping,
Doubling, tripling, increasing,
Quick, fun,
Multiplying,

Pratt's Law (Free Verse)

In the marvelous world of math,
multiplying helps a lot,
I know it's harder than a bath,
but it's better than smoking pot,

With math comes lots of laws and rules,
Pratt's Law is one of them,
knowing this will help all you fools,

When mult'plying or dividing,
All would depend on one thing,
"How many negative integers?"
even would make positive,
and odd would make negative,

All laws are made for our safety,
Pratt's Law is one of them,
It will keep you from failing,
And from Mr. Harbeck's flip flops.

Chapter 2
Combining Like Terms & the Distributive Property

Moe: Lester, I think you did the math homework wrong. You said that n +3 -5n +12 is -4n +15. I think you are wrong.
Lester: Well Moe, why do you figure that?
Moe: Well, I got a different answer. This is how I did it. The question said n +3 -5n +12, right? So I put the like terms together. The n with the 5n and the 3 with the 12. That gave me 6n+15.
Lester: I still think you're wrong.
Moe: Why?
Lester: Well, when you added the n's, you forgot that the first n was a positive.
Moe: Oh.
Lester: Yeah. So instead of n +3 -5n +12 being 6n +15, its actually -4n +15.
Moe: Okay. So I guess I did 2 +4(3n +8) wrong.
Lester: Show me how you did it.
Moe: Okay. So 2 +4 times 3n plus eight. I multiplied first and got 12n then it was 2 +8 which is ten. So I have 2 +4(3n +8) equals 12n +10.
Lester: Yeah you did this wrong. In distributive property you have to multiply everything in the brackets not just the first one. What you did was multiply the first one and not 8.
Moe: Oh man!
Lester: It's okay. So if you do it properly, you will get 2 +4(3n +8) equals 2 +12n +32. And from there you will get 12n + 34.
Moe: Oh I see. Thanks a lot Lester.
Lester: Moe, you're welcome.

Chapter 3

One Step Equation Solving
The step in this equation is to isolate the variable. You can do that by adding the opposite of the constant with the variable.

Subtractive
Important step: add the opposite. Once you do that, its basically just like a additive equation.

Multiplicative

Once again, isolate the variable. You do this by doing the opposite operation being done to the variable with the same number. In this case you must divide.

Divisive

Chapter 4
Algebra With Algetiles

*This is a video of Abby and Melissa solving algebra equations with algebra tiles, not me.*

### Bobby's Great Big Book of Algebra

Bobby's Great Big Book of Algebra
Chapter 1

adding integers is very easy to do
just have a method
like using the number line
or use I have and I owe
(tanka)subtracting integers
this is not the way
only add the opposites
now that is the way
subtracting integers NO!
Adding opposites is YES!
partitive division(Free Verse)
one day I had 4 chocolate bars the brand was the chocolate mars I’m generous so I thought of sharing with my friend, I want us to have equal bars, at least that’s what I intend maybe I should share 4 into 2 equal groups it is just like the partitive division, one chocolate bar for me and one chocolate bar for you haring four into two equal groups is my decision GREAT!, equal chocolate bars for us two
quotative division(cinquian)
Just like division
How many will fit inside
The chosen number
Rule for Multiplying Integers(Free Verse)

Pratt’s Law is the best in the world
Which makes everyone laugh since it is so easy
All you have to do is multiply and check
If there are odd amount of negative integers
It will be negative answer
But if it is even, your answer will be positive!

Bobby's Great Big Book of Algebra
Chapter 2
SCRIPT:

Mrs. Hot: Hello Mr. Fire . How are you?

Mr. Fire: Hello Miss Hot. Well, I'm actually doing pretty good this year. I have a lot of crazy things happening.

Mrs. Hot:Oh. Well, we'll talk about it later. I heard you've been taking classes in mathematics. Tell me how is it?

Mr. Fire: It's actually been fun, I just started the lessons last Friday. Mr. Makutohomolo who's my math teacher , has been teaching me a lot of stuff I've never heard before and when he explained it i actually understand it.

Mrs. Hot:Well, I'm glad you understand it. Actually, Mr. Makutohomolo called earlier and he gave this show two questions for you to answer. Will it be okay if i ask u?

Mr. Fire: Wow. I think I can handle it sure u can ask.

Mrs. Hot: Okay. First question is n+3-5n+12. I looked at it earlier but then i couldn't find out the answers . It's too hard.

Mr. Fire: Well, this question is a combining like terms. This was the first lesson i learned from
Mr. Makutohomolo.

Mrs . Hot: So all we have to do is combine like terms.?

Mr. Fire: Yeah, that's it. But first, we have to group like terms.

Mrs. Hot: I think that's n-5n.

Mr. Fire: That's right . Now put the other numbers in that question.

Mrs. Hot: Okay, So it will be like n-5n+3+12. I think I can answer this. So the answer is -4n+15.

Mr. Fire: WOW That's right. Are you sure you haven't done this?

Mrs. Hot: Yea, I'm sure . But thanks to you I do now. There's another question Mr. Makutohomolo told me to ask you and explain it to me. The question is 2+4(3n+8).

Mr. Fire: This kind of question is about distributive property. This lesson was taught to me the second day of my classes with him. First, you have to multiply four by three n and by four by eight.

Mrs. Hot: I think that's 12n+32. Is that right?

Mr. Fire: Yeah. That is definitely right. Good Job. Now put the number 2 in it.

Mrs. Hot: So It will be like 12n+2+32. Now if i would answer this it will be 12n+34. Is that right?

Mr. Fire: Yeah. Good Job. Now you have something to tell your kids about distributive property and combining like terms.

Mrs. Hot: Well, thank you so much for coming here tonight and answer some questions. Maybe you can come back next time.

Mr. Fire: Sure, I would totally go back next time.

Here's my video. Sorry if it's a bad movie. HAHA

Bobby's Great Big Book of Algebra
Chapter 3

Multiplicative equation
I group them and got the answer of n=-2.

Division equation
I isolated the 2 by multiplying the n by 2. Then on the other side i multiplied 10 by 2. That gives me 20. So, the answer is n=20.

I added a -2 since it was +2 and then i did the same thing at the other side. The answer is n=2

subtractive equation
Here I isolate the -2 by adding a +2. Then on the other side I added +2. That all makes n=6

Bobby's Great Big Book of Algebra
Chapter 4
Odun and Bobby Show

### zach's int poems

CINQUAIN:

PUTTING,INCREASING,GAINING
COMBINED UPON TWO NUMBERS
PLUS

TANKA:

SUBTRACTING NUMBERS
DECREASING THE INTEGERS

REDUCING VALUE
ELEVEN TAKE AWAY SIX
THIS EQUALS FIVE

HAIKU:

QUOTATIVE DIVISION

FIRST YOU NEED TO FIGURE OUT HOW MANY FOURS GO INTO SIX
YOU ALSO SHOULD USE LOTS OF PICKS
JUST SO YOU DONT GET INTO A MIX

DIAMANTE

PARTITIVE DIVISION
EAQUAL, INCREASING
PICTURES, GRADUALLY - FINNISHED, GROUPED
PLANNING , STAYING, GROUPING
PLANNED, LAIDOUT
QOUTATIVE DIVISION

HAIKU:
PRATT`S LAW

TO DO THIS LAW YOU HAVE TO REMEMBER S.S.+
IT MEANS IF BOTH SIGNS ARE THE SAME THE INTEGER IS A POSITIVE
IF BOTH THE INTEGER SIGNS ARE DIFFERENT IT IS A NEGATIVE

### The Great Big Book of Algebra

Chapter 1.
Poems

Adding Integers - Picture

Subtracting Integers - Haiku
Never subtract integers
It'll be easy

Partitive Division -Free Verse
I bought 18 pieces of candy
It was for me and my friend Mandy
Mandy said "let's use the partitive division strategy"
And I said " Okay, teach me how, so I can see and maybe it'll help me"
She put one in her pile and one in mine
And once she finished we each got nine

Quotitive Division - Tanka
How many can fit ?
Pick two different numbers
Let's use six and three
Three can go into six twice
So the answer will be two

Pratt's Law - Free Verse
Pratt's law is very easy
All we have to remember is
if we have an even amount of positive
the answer will turn out positive
But, if we have an odd amount of negative
the answer will stay negative
Use it on a test and you'll do your very best !

Chapter 2.
Combining like terms and the Distributive Property
Script

Jaylen: Hey! What are you doing ?
Lyn: Hi! Im just thinking about Combining like terms.
Jaylen: What is Combining like terms ?
Lyn: It is just math. An example is n+3 minus 5n+12
Jaylen: Wow that seems easy, the answer to that question is negative 6n+15
Lyn: How did you get that answer ? My answer was negative 4n + 15
Jaylen: First we have to look at the question and change all the minus signs into plus signs. Then we look for all the terms that are in the question. There are only two terms. 5n and n . 5n + n equals 6n. Don't forget to do the rest of the question. 3 plus 12 equals fifteen. So the answer is 6n plus 15.How did you get negative 4n plus 15 ?
Lyn: First I thought of all the terms. There is only two terms , n and negative 5n. You have to remember when you are adding terms wether there positive or negative the same rule applies. When you add a positive with a negative the zero pairs cancel each other out. You have n and negative 5n you add them together and you get negative 4n. The rest of the question is 12 plus 3 and that equals 15. So, my answer is negative 4n plus 15.
Jaylen: But you have to remember that we aren't always adding negative and positive terms. Just remember to change the negative signs into positive signs. It will help you a lot . 5n+n+12+3= 6n + 15
Lyn: Oh man, your right. Your strategy is really good, and your right it can help.
Jaylen: Don't worry everyone makes mistakes. Let's try another question. How about 2 + 4(3n+8).
Jaylen: Really that's weird I got 12n+10 explain how you got your answer.
Lyn: first i multiplied 4 and 3n. I got 12n. Then i multiplied 4 and 8 and I got 32. Also, you have to add thirty-two and two and you get 34, so the answer is 12n+34
Jaylen: Oh yeah ! I forgot to multiply 4 and 8. My mistake, your answer it correct.
Lyn: We have to focus on our thinking so that we could be both great people at math.
Jaylen: this was a nice discussion, let's do it again someother time. Bye !
Lyn: Bye !

Here's my movie.

Chapter 3.

Subtractive Type

Multiplicative Type

D Type
Chapter 4:

### Thanks for all the great comments!

Thursday, December 4, 2008
Hi everyone! Thanks so much for all the great comments on my blog. I had a great time this semester looking at your blogs and seeing what you are doing. Your class looks like a lot of fun doing scribes daily. I wish I would have had some of those opportunities in my classes. I hope to see more of the great things you are doing and here more about you!
Thanks again,
Jocelyn

### The Great Big Book of Algebra

Chapter One

Gaining, Totaling, Increasing
Combining two integers together
Plus

Free Verse:Pratt's Integer Law
When your feeling down and feeling blue
Pratt's Integer Law will show you what to do
Now I'll explain
It's very simple you see
When the amount of negatives is odd
Negative the answer will be
When the amount of negatives is even
Take a breath and the answer I will give
Don't get into a panic
The answer will always be positive
Now don't think that's the end
Because there's one more thing I have to say
When the equation has a zero don't go crying
The answer will then be zippo, natta, nothing
Now your glumness is blown away!

Free Verse:Subtracting
Subtracting
Kind of gives you a sting
Subtracting
Isn't what you predict
Subtracting
Really is adding the opposite

Free Verse:Quotative Division
Quotative Division is a breeze
I will use the numbers six and three
To explain what you will soon read
Two goes into six
How many groups of two does that leave you with
If you guessed purple monkey you got it wrong you see
The amount of groups is actually three

Picture:Partitive Division

Chapter Two

Jimmy: Hey Sue, how are you today?
Sue: I am great!
Sue: I have a question for you
Jimmy: Shoot
Sue: Okay well its two questions from my math homework. I think I know the answers but I'm not to sure if they are right.The first question is n+3-5n+12 the answer I got for it was -6n+15. Is that correct?
Jimmy: Actually Sue that is the wrong answer. I'll show you how to get the right one. Well first you have to group the alike terms. So it would look like this n-5n+3+12. Then what you want to do is figure it out so the simplification would be -4n+15.
Sue: Oh I see how you got that!
Sue: Now for the next question. 2 + 4(3n+8). I think the answer is 12n + 10. Now that must be right.
Jimmy: No I'm sorry Sue that isn't right. I'll explain it again. This is called distributive property. First you have to multiply 3n by 4 and then 8 by 4. That gives you 2+12n+32. Next you have to group the alike terms. So it would look like this 12n+32+2. Finally figure what every thing equals put together and the simplification would be 12n+34.
Sue: Thank you so much for helping me!

Click For My Video

Chapter Three

What I did first was I isolated the variable. I did this by dividing 3n by 3. To balance i had to do the same to the other side. That left me with n=2. The last step is to verify.

For this question I again started with the variable. I did this by subtracting five on both sides which also created balance. The answer i got was x=8. Then i ended with verifying.

I started off with isolating the variable. I did this by multiplying 7n by 7. I did the same thing to the other side. What I was left with was n=14. I then verified.

For this equation I started with isolating the variable. I did this by adding 11 to q-11. For balance I had to do the same thing on the other side. This left me with q=19. To finish it off I verified.

Chapter Four

### Katlyn's Great Big Book Of Algebra.

Adding can be fun
if you understand it right
very simple math

Subtracting
Switch the oppsits
Unique math
But with many rules to follow
Teaches alot
Reaches its limits with makeing math easy
Allowing the use of adding in subtracing
Cant do it yet?
Try it, its easy
I manged to do it
Number by number
Growing on the skille of subtracting integers

Integers are easy
Now that we'vd learned
Taking it in
Enough for one day
Grow with the skills
Everyone was taught
Reaching our goals to make it easy
Subtracing integers are fun if you try

Pratts Law
so there is this girl
who came up with a rule
making math easy
for everyone to know

she wrote the rule down
on this great big board
teaching the world something new

as she wrote
she spoke with great words
"odd amounts of negitives always make a negitive"
"even amount of negitives always make a postive"

finished the rule with an acomplished look on face
knowing she taught something knew
make math easy
as possible as it gets.

Quotative Division
one day I was asked by a talking little tree
"how many twos were in six"
i stood there puzzled
not for filling my task
to awnser to question
that was put before me

i replied with a shrugg
and begain to walk off
the little tree called me back
and said they would teach me

i took up there offer and recoiled back
i sat down beside the little tree

as i watched i was amazed what i saw
3 large cirlces
with 2 little boxes in each

the tree had explained that
there were three two's in six

as i got up
i tahnk the little tree
for teaching me math
i now memorized like a rock.

Chapter 2

Philip: Hello there Dwight!
Dwight:(sigh) Hi Philip....
Philip:oh..whats wrong?
Dwight:I cant figure out this algebra equation
Philip:well then maybe I can help. Whats the question?
Dwight:I doubt it but you can give it a shot if you like.
Philip:Sure!
Dwight: n+3-5n+1 , I can't figure it out!
Philip:Okay, so first, what do you think the awnser is?
Dwight: I keep getting -6n+15 but I don't know if it is right!
Philip: hhmm. That does not seem right. Let me check.....Okay!
Dwight: you got the awnser!?
Philip: yup! Well to start your awsner was wrong! the awnser is -4n+4.. Now let me show you how I got that. First you would rewrite the question and combine the like terms like so
"-5n+n+3+1" then you simplify! so you will end up with this "-4n+4" .
Dwight: Oh! now I see. Thanks Philip!
Philip: no problemo. See you later Dwight!
Dwight: Wait! . uhhmm Philip?
Philip:Yes Dwight?
Dwight: Uhhhmm.... coudl you help me with another one?
Philip:Of course!
Dwight:Alright heres the question 2 + 4(3n+8) .
Philip: ahhh... distributave property!
Dwight:exactly I just don't know how to do it! This is what I keep getting 12n + 10 , but im not sure about it.
Philip: hhhhmmm. well let me have a go at it. Ohh. I see where your going wrogn Dwight.
see the awnser would be 12n+34 silly.
Dwight: Oh! well how did you get that?
Philip:you see . what you were doing was ading 2 and 8. What you have to do its times 4 and 3 and you get 12n. and then times 4 and 8 and you get 32. so then you take the 2 and add it to 32. so you will end up with 12n+32. see!
Dwight: Ohhhh! I get it!
Philip: Exactly!

Dwight: Yes. Thank you Philip!
Philip: No problemo Dwight!

Chapter Four

### Katlyn's scribe post decemeber 4th 2008

Scibe Post
Thursday, December 4th, 2008

Okay so for all of you that weren't listening or paying attention in class, this is what we went over in class today. We went over over our homework from Tuesday (since we didn't have math on Wesnday :D). We went over page 87 part A in the Pink booklet. We had to write the expressions for Part A.

Here is 1 the "scary" questions we went over from Tuesday. (sorry only 1 I dont remebr the scary ones ): ).

+ 7 - A number divided by four minus seven.
Okay so this is what we learned in math as todays lesson.
1. ½x =20 - One over two multiplyed by a number makes twenty
5. 3(2x) =-15 - three multiplyed by two times a number equals negitive fifteen.
6. 4(2x-7) =123 - Four times the difference of two multiplyed a number less than seven equals 123
7. x+75<250 - A number plus seventy-five IS less than 250
and then the last one we didn't really touch up on but here it is anyways .
9. x,x+1,x+2 -A number, A number and one, a number and two.
for this one we used or fun numbers and did this.
x, x 1, x+2
10,10 1, 10, 2
so yes..
Mr. Harbeck gave us homework to do tonight and we were assigned page 88 in the Pink booklet. We have to do part C. Translate the english senteces into mathematical expressions.
Okay so thats my scribe post... ENJOY!
WAIT... I forgot something.... our 5 poems about integers have to be in on Friday, December 5th 2008. so DON'T forget that :D
sorry.... but i didn't relize that i didn't choose a next scribe so the next scribe will be
FRANCIS....sorry if i spelt it wrong.
and thanks to Nicko and Gian for reminding me.

### The Great Big Book Of Algebra

Free Poem : Rule ' Pratt's law.
Integers may be very rough

That's if you don't study it gets very tough
Just use PRATT'S LAW if you're wasting your time
Use a negative,positive or equal sign.
To me Pratt's law is the very best.
If you don't believe me use it on a test.
And then you'll finally see your mark.
Then you know that you are smart.

Tanka : Adding Integers
Integers have their own rules.
You use zero pairs.
Positives and negatives.
Throw the zero pairs around.

Haiku : Subtracting Intgers
Subtracting integers.
Never subtracting.
Positive or negative.

Diamante : Partitive & Quotative Division
Partitive Division.
Grouped,Shared.
Sharing,Dividing,Grouping.
Percent of,Fraction,Quotient,Divide.
Dividing,Sharing,Fractionating.
Group,Equal.
Quotative Division.

SCRIPT:

Steve:
Hello to all the people watching our world wide news cast here in Seattle Beach. Today we have recived an important question coming from a math teacher coming all the way from Winnipeg, Manitoba. He has a question for all of us. This question he would like to ask us all is a math question which all of us know might be hard. The question is 3(a+4)=. Now this is a really tough one that I can't even think of getting. So we brought in a student from Seattle Beach University. Lets all welcome Kyle Lacap. Hello Kyle, will you help us do this question and teach the people of Seattle how to do this difficult question.

Kyle:
Hello there Steve and all the people of Seattle. This question here is a really tricky question. But I'll try to figure it out just for the people of Seattle. Well to me this question looks like a descriptive question. So I'll say that the answer is 12a because discriptive property tells me thats the answer.

Steve:
Oh i see, can you tell us all what this discriptive property is ? Is it some kind of law or rule?

Kyle:
Well Steve it is kind of a rule that people use. This descriptive property means a property indicating a special way in which multiplication is applied to addition of two or more numbers.

Steve:
Thanks alot Kyle, this helps me alot. Now that this 5 minutes live news cast is over lets get back with the music here on Seattle Beach Radio. Thank you all and have a good after noon.

SCRIPT PT 2

Steve:
Here we are again back at Seattle's live news. We're back here with Kyle and we're going to try to answer another question coming from China. The question is alot harder then the one we tried a while again. The question this time is 6x-(-3x)+2x-9. This is one of the hardest questions in the world , but we're here back with Kyle so he could try to answer it again. Welcome again Kyle what do you think the answer is to this difficult question.

Kyle:
Hey there Steve, i think the answer to this question is 11x-9 because i simplified it and then i got this answer. The way i got this was my simplifying the question so it would be easier to get the answer if there was an equal sign.

Steve:
Ok thanks alot Kyle , we will recive the right answer tomorow. So thanks alot to the people listening to our radia station and have a wonderful day everybody.