The Great Big Book of Algebra

Wednesday, December 3, 2008
Integer Poetry first Chapter :

Adding Integers - Tanka :

Adding Integers,
most of the times its easy.
when the hard times come,
negative plus positive,
zero pairs comes to help you.

Subtracting Integers - Haiku :

add the opposite,
because there's nothing to it.
you never subtract.

Partitive division - Picture :




Quotive Division - Tanka :

asking the questions,
a quotitive division.
six goes into two,
just group six into two groups.
cant be in quadrant four and two.

Rule for multiplying - Free verse :

When an even amount of negative is being multiplied,
the product is always a positive.
When an odd amount of negative is being multiplied,
the product is always a negative.

second chapter, script :

combining like terms;
bella: hey edward, can you help me with something?
i cant seem to figure out this math i have been working on.

edward: oh, hi. Bella. i haven't talk to you in a while.
im happy to help you with anything. so, whats the combining like terms question?
i learned about those already, so i think i can help you.

bella: well good then. hm, the question is, n+3-5n+12?
i was working on it for a long time last night. i came up with ..
-6n +15. am i right ?

edward: i believe you're wrong bella. let me see, there is two terms only right?

bella: i think so, "n" + 5 is one term 12 +3 is another term?

edward: you're right bella. good you have already combined them together.
now we just have to add the math signs. it should look like ..
n-5n+3+12. do you think you can try answering that one?

bella: ill try. let me see. n-5 = -4n and 3+12 = 15.
if you add then together you should get.. -4n+15.

edward: you're right bella.

bella: thanks edward, that helps a lot. you've been a big help.
you're the best, sadly its getting late, i should get going.

edward: my pleasure, im always here to help.
nice seeing you again, hope you'll come back sometime.

bella: dont worry ill come back soon. see you soon.



distributive property;
bella: hey, edward are you here. i need help on distributive property.

edward: im right here bella. distributive property is what you say.
i think i can help you with that one too.

bella: excellent.

edward: okay, whats the deal with this distributive property?

bella: the question is 2+4(3n+8). i came up with 12n+10, am i right?

edward: i think you're wrong, lets see. we have to get rid of the brackets first.

bella: you have to multiply 4 by each number inside the brackets right?

edward: yes, you're right.

bella: it will look like.. 24x3n and 4x8. 4x3n=12n and 4x8=32. okay, it'll be..
12n+32+2. add the 32+2 first. which will be 34. so, i think its going to be 12n+34. right?

edward: yes, yes. very good bella.

bella: nice, thank you edward. i learned a lot.

edward: you're so welcome. im glad i can help again.

bella: anyways, i have to head home. ill come back soon.

edward: okay then, goodbye bella. take care.


third chapter, one step equation :
additive type :
subtractive type :
multiplicitive type :
D type :
fourth chapter, algetiles :

The Great Big Book Of Algebra

Integer Poetry Chapter One

Haiku:
Adding Integers

Using zero pairs,
Negative and positive,
Please use have and owe.

Tanka:
Subtracting Integers

Its very simple,
You can't subtract integers,
Change the signs to solve,
Negative and positive,
Have and owe will help you lots.


Cinquain:
Partitive Division

Divison,
Large numbers, confusing signs,
Sharing, making, grouping,
Share into equal groups,
Separate.

Tanka:
Quotative

This is what you do,
Look at the set of numbers.
Please find what you need,
Then find the number of groups
That is what quotative is.

Free Verse:
Rule for multiplying

This is how you do the Pratt's Integer Law,
Follow it and you won't make any flaws,
Multiplying even amounts of negative integers is very easy,
But sometimes it can make you queasy,
The product is always positive right?
Don't worry numbers don't bite!
Lets move on to odd amounts of negative integers okay?
And also lets keep it my way,
The product will always be a negative get it?
There is one more thing I have to admit,
Both cannot work if its a zero group,
So, it's okay lets hear a big "whoop",
Well, there is lots to learn more tomorrow,
So give up with your cries of sorrow.

Chapter Two

Edward Cullen: Hi Bella!
Isabella Swan: Hi Edward! I have a question.
Edward Cullen: Okay, What is your question Bella?
Isabella Swan: Do you know anything about combining like terms?
Edward Cullen: Why, yes i do.
Isabella Swan: Do you know how to answer n+3-5n+12?
Edward Cullen: Well , you have to add the n+-5n which makes -4n and 3+12 equals 15. So, the answer is -4n+15.
Isabella Swan: What? I thought it was 6n+15?
Edward Cullen: Oh, I know what you are doing wrong, you are adding the n to -4. You can't add negative and positive integers together so you have to cancel it. Thats why it is -4n+15.
Isabella Swan: Oh... I got another question. But this if for Distributive Property. Do you know how to do Distributive Property?
Edward Cullen: Yeah, I do. Sort of.
Isabella Swan: Awesome, how do you do 2 + 4(3n+8)?
Edward Cullen: Well, you have to multiply 2 times 3n that makes 6n, then you multiply 2 by 8 and equals 16. Then you have to bring down the four, 6n+16+4. Now simply it 6n+20.
Isabella Swan: HAHA , sorry but that is incorrect.
Edward Cullen: NO! It is right, i am always right.
Isabella Swan: No, your wrong.
Edward Cullen: What did I do wrong?
Isabella Swan: You multiplied it wrong, you are supposed to multiply the 4 not the 2. So, this is how you do it. 4 times 3n equals 12n and 4 times 8 equals 32. You now bring down the 2. It is 2+12n+32, now you can simplify. The answer is 34+12n.
Edward Cullen: Aw, SHUCKS! I was so close, thanks for telling me how.
Isabella Swan: No problem.
Edward Cullen: Well, I have to go now.
Isabella Swan: Oh okay, bye Edward!
Edward Cullen: Bye Bella!












Chapter Three

Divison:




You have to Isolate the the variable by itself so you have to times each side by 3. Then it equals to -n=18. Your variable cannot be a negative so you times each side by -1 because the negative on the variable is actually just a -1. The result is then n=-18. Everytime you solve a question you have to verify.

Additive:

For this question, you also have to isolate the variable. Being able to do that, you have to add -33 to each side of the equation. That equals to 27=n, you then have to verify to check if your answer is correct.

Multiplicative:

On this question you have to also isolate the variable. So, you divide the 15 on both side. The answer to (n) is 12. PLEASE verify to check.

Subtractive:

This is a subtractive question, you first have to change the "uh-ohs" into positives. Then you write out the question adding the -8 to each side. The variable is -14. Verify to check.

Chapter 4

The math video made by Abby and I.


math from melissa b on Vimeo.

The Great Big Book of Algebra

CHAPTER 1

Adding Integers (picture)

Adding
is very
simple
and it
also gives the total
the sum,and also
what increased
its okay if adding
may be
difficult
but when
you really
know it
you'll be
able to
show it



Subtracting (picture)



If you want to know when you're subtracting

always memorize the sign. When you see it
you'll believe it that you're reducing/subtracting



Partitive (Haiku)




A partitive is..
the time when you share in groups/
how much in each group



Quotitive (Haiku)

Just remember that
negative groups don't exist
and cannot be done


Pratt's Integer Law (Tanka)




Always remember
When there is an odd amount
Sum is negative
or if it's even amount
the product is positive

Chapter 2



Hi Shiroken!
Hey Mai...
"Huh?Whats wrong?"Mai asked
"Well I'm stuck on a question from my homework that's kind of due tomorrow"
"Um...i guess that is kind of bad....can i see it?"she asked
"Um yea sure go ahead" he said handing it to her
"Hm so the question your stuck on is 2+3(n+3)?"she said reading
"Yeah....i don't really know what to do on this question"he said desperately
"Okay well the first you have to do distributive property and here's how to do distributive property, first you have to multiply the 3 with the numbers inside the brackets"
"Okay whats next?"he asked
"Multiply them of course"
"Oh yeah i knew that..."he said nervously
"Yeah...right...well when you multiply 3 with n you get?"
"Um n3?"
"No, no, no it's supposed to be 3n okay remember that"she said
"Um okay"
"Now you multiply the 3 with the +3 inside the brackets"
"Now I'm guessing that the answer is 9?"
"Yep that's right, now you just bring down the 2 and now you have 2+3n+9...now what do you do next?"
"Uhhh.....i don't know..."he said quietly
"Okay I'll tell you, now we group like terms"she said confidently
"Okay now how do we do that?"he asked
"Well it's not all that hard...all you really do is group the same type of the first number with all the other numbers that are the same"
"Really?"
"Yeah that's basically all you do"
"Wow okay... now it looks like 2+9+3n"
"Yep that's correct now you add the 2 normal integers"
"So..it becomes 11?"he said
"Yes that's right now put them together the right way"she said in a competitive voice
"So it's 11+3n?"
"Yes that's right but i think the 3n should be first so it's 3n+11"
"Oh okay...."
"Now that was easy wasn't it?"
"Yep...now lets go to the park!"he said in a happy voice
"What!? your not done the rest of the homework!"she yelled
"Ahh...I'll do it later...come on I'll push you on the swings okay?"he said smiling
"Ugh..fine but you better get all those questions right"she said as she groaned and followed him out the door.

*Notice please read*



Ah...my computer isn't working properly and I can't insert the video from xtranormal.com

CHAPTER 3!!!
For chapter 3 i have to show you how to multiply, divide, add, and subtract. So instead of making pictures on paint i took pictures like how mr.h suggested we do.
Additive type:



this is the picture of how to add....i know its kind of blurry so i'll type the question down. The question was -9+n=-15.

D Type:


this was the second one i took...this is dividing and the question was 15n=180


Multiplicative Type:






this was the third one and this deals with multiplying so the question is 1/9n=6...


Subtractive Type:





this is subtracting....the question was n-(-8)=21..


And last but not least.....how to verify...

CHAPTER 4
Hey well this is a video about how to use algebra tiles, well i hope you like it.

The Great Big Book Of Algebra

Integer Poetry Chapter 1

Adding Integers (Tanka)

Adding integers
Positive or negative
Makes life easier
When using the have and owe
Or using a number line

Subtracting Integers (Tanka)

This does not exist
Diminishing integers
What shall happen then?
Negative to positive
And also the sign beside

Partative Division (Free Poetry)

One day as I walked down the street
I was hungry and wanting something to eat
I went to a candy store which wasn't that far
and bought four delicious candy bars.
As I walked out, it was still a nice day
Then all of a sudden, a friend came running my way.
He said "Hey I'm hungry, may I have a piece?"
I agreed and said "I didn't bite it yet at least."
I wondered how to split four into two
My friend said it's simple to do
Just share four into two equals groups
One for me, one for you
In the end my friend and I had two bars each
Is this a lesson you are willing to teach?

Quotative Division (Free Poetry)

Here is a lesson that will be fun
Now let's begin -- the time's not a ton
We'll use the number ten and five
Doesn't this make you feel so alive?
What is one method that we could use?
Well listen up, you silly goose!
This method is called quotative division
Don't worry! It's not a bad decision!
Here it goes.. are you ready everyone?
How many groups of five can go into ten? Can it be done?
Yes! It can! If you just think!
"What's the answer then?" I say with a wink.
The answer is two! It's two am I not right?
Yes, I am because quotative division doesn't bite!

Pratt's Law (Haiku)

Pratt's Law is vital
Odd makes negative
Even creates positive

Chapter 2: Combining Like Terms and Distributive Property

Amy: Hey Lily! What are you up to?

Lily: Hello, Amy. I'm just doing some homework. We're starting a new unit in math class.

Amy: Oh, I see.

Lily: The last question I was working on was 8x + 7 + 3x + 2. I simplified it to 15x + 5x

Amy: That doesn't seem right. How did you simplify the question?

Lily: Well, 8x + 7 = 15x, and 3x + 2 = 5x. Altogether it's simplified to 15x + 5x.

Amy: You did it wrong. It's because you didn't combine like terms. I'll show you the right way to simplify this. Eight x and 3x are similar because they both have the variable x. 7 and 9 are both similar because they are integers. So 8x + 3x = 11x, and 7 + 2 = 9. Altogether it's simplified into 11x + 9.

Lily: .. Oh, I understand. I wasn't really paying attention in class, that's why. Well here's a question I simplified earlier : 8 + 5 (9 + 4x). Here's how I simplified this question: 8 + 5 = 13. then 9 + 4x = 13x. Altogether it's simplified into 13 + 13x!

Amy: It's incorrect.

Lily: No it's not!

Amy: Yes, it is. You did this question wrong because you didn't answer in the brackets first.

Lily: What?!

Amy: Here, I'll show you the right way to simplify this question. When a number is beside a bracket, you are multiplying. First, multiply 5 by 9. The answer's 45. Then, 5 multiplied by 4x is 20x. Don't be confused if you see a plus sign in front of the 4x! It's just saying that 4x is positive inside the brackets. Then, since 45 is an integer, add 45 to the 8 that was left all alone in the beginning. 45+ 8 = 53. Now since 20x does not have a partner, the simplified version of this question is 53 + 20x! You're answer was wrong because you didn't answer inside the brackets first.

Lily: Oh! That's how you do it! Thanks a lot Amy!

Amy: You're welcome! Just remember, listen to your teacher in class next time!

See the xtranormal video!

Chapter 3

Additive Type Equation:























Subtractive Type Equation:
























Multiplicative Type Equation:





























D Type Equation:




















Chapter 4


Algebra Tiles Video from Abby Sarao on Vimeo.


Brandon's Great Big Book Of Algebra

ADDING INTEGERS

Adding Integers
Put two and Two together
Find the correct Sum


SUBTRACTING INTEGERS

Subtrcting is a easy task and really fun to do
and if you're asking me for help,
here are some tips for you: look at the second integer,
take it for the spin, turn it into the additive inverse, and in the space
put it back in. Now add the two numbers together and that's the answer
see? Now remember: For tips on your homework,
find yours truly, ask me.

QUOTATIVE DIVISION

Take one integer
Split it into quantities
According to the
Second integer in the
Question. You get the Quotient.

PARTITIVE

Partitive Division,
It's really not that hard,
now that I've come to think of it
it's just like dealing cards!
Just take the second number,
and make groups equal to it
now look at all the work you've done
you're already half way through it!
Now take the first integer and split it between the squares,
now that that you have your work done, look off into space and stare...

RULE FOR MULTIPLICATION

If signs are the same,
the product is positive.
If signs differ
the product is negetive
Multiplying is easy.


CHAPTER 2

Hey Rick! You done the homework Mr.Hakamura gave us? 1 Nooooo........... Why aren't you done??????? 1It's too hard.......... 3WHAT DO YOU MEAN TOO HARD?????? I finished it in like 2 minutes! Aren't you at the top of the class Julia? Yeah, and Randy's at he bottom of the class! He's done too!!! Ohhhhhhhhh............. Hey, you're a ninja for hire. Isn't the code ninjas never give up? yeah..... Okay. Here's the problem 2 + 4(3n + 8) I think the problem is 12n + 10 but the teacher's answers say otherwise! 2What do you mean the teacher's answers?????? 3JULIA, AM I OR AM I NOT A NINJA? Sorry! Sheesh, spaz... Anyway, back to the point. HOW IN THE NAME OF ASHTON KUTCHER AM I GOING TO FINISH HIS HOMEWORK BY 3RD PERIOD??????!!!!!!!!! RICK, RICK, RELAX!! Chill. you really need some mellow yellow and chill calm the heck down. OK, OK. I'm fine now. okay I'll just write out the question and you can help me solve it. after this I have one more to solve. Okay. What's the question? 2 + 4(3n + 8). Okay. do do the problem right, first, you need to take the 4 and multiply it by 3n. Then do the same with 8. Then, get rid of the 4 all together. You're done with it. Okay. the equation is now... 2 + 12n + 32. now you need to add the constants up and then you're done. Thanks julia. You were a real help.


Scribe Post

Tuesday, December 2, 2008
SCRIBE POST

Yesterday in math we made math poems. There were subjects each poem had to be. These subjects were adding integers , subtracting integers , partitive division , quotative division and the rule ( Ron's rule or pratt's law ) . There were alot of types of poems. Such as cinquain , haiku , tanka and diamante.

An example of a poem for adding integers is :

5 syllables-Adding Integers
7 syllables-Integers have their own rules
5 syllables-You use zero pairs
7 syllables-Positives and negatives
7 syllables-Grab the air , get zero pairs

This type of poem was the Tanka.
The way we had to this was 5 different subjects with other types of poem styles.

Another Example is the Haiku for subtracting integers.

5 syllables-Never subtracting
7 syllables-Positive or negative
5 syllables-Add the opposite

There was some poems done in pictures like the mirror one because the reflection of the writing was reflect on the other side. But Ms. Hay wanted us to make the mirror one into the shape of the subject we were going . For example, if you did the addicting integers it would have to be in the shape of a plus or positive sign (+). If you did the subtracting integers poem in mirror it would be the negative or subtracting sign (-).

Another thing we got to do was free verse which was a poem you got to make by yourself. Free style is another way of explaining it. For example,

Kyle's integer rap :
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 belive me use it on a test.
And then you'll finally see your mark.
Then you know that you are smart.

Chorus:
Integers are so great.
You will learn in school if you don't come late. (Nicko )
So don't be afraid to put your hands in the sky.
There is no wrong answer , that's not a lie.

Scribe Post for December 2, 2008

Today in class, we made a new fold able. They title of the new fold able was called "My Algebra Words"


On the outside there are three squares, the first box, was an example on algebraic expressions. An Example of an algebraic equation is n+6=8. N=Variable. A variables are letters that represent numbers.

The second heading in the second box was Adding Words. Adding words are ; plus, add, increase, sum etc.

The third heading in the third box was Subtracting Words. Subtracting words are ; take away, minus, less than, reduce, etc.

When you open the fold able the fourth heading in fourth box is fourth box is Multiplying words. Multiplying Words are ; times, of, multiplying, etc.

The fifth heading in the fifth box is Dividing Words. Dividing words are ; divided, goes into, a certain number of parts, etc.

The last heading in the last box is Words that mean equal. Words that mean equal are ; equal, equal to, is, results in, gives you, makes, etc.

The homework for to night was the first page on our new booklets. We had to do all of letter A 1-10. We had to write an English phrase for the following mathematical phrases. The first question was 3x. The English phrase for 3x is three times a number.

That's what we pretty much did in class, but remember to do your poems! If you need help with your poems read Kyle's scribe post, it can really help you for those who have trouble. Please leave comments, and help me make my scribe post better! Thanks (:
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