Showing posts with label xtranormal. Show all posts
Showing posts with label xtranormal. Show all posts

The Great Big Book of Algebra

Wednesday, December 10, 2008
Poetry

Rule for Multiplying: (Free Verse)
If you Multiply a Odd amount of Integers,
makes a negative product.
Multiply a even amount of Integers it will make a....
Positive Integer?!
'Is this true!'
'Does it work?'
Yes it does,
So do not doubt it,
Do not mock it,
But you may use it,
Unless of course you want to fail.


Subtracting Integers: (Picture Poem)
One thing,
You must,
Know about,
Subtracting,
Integers, is that you do not subtract integers you you add its opposite. Just change the minus into
a plus,
and change,
the integer's,
sign to,
the opposite.

Adding Integers: (Haiku)
one plus one is two
just like kindergarden
There is no change.

Chapter 2:
Combining like terms and the Distributive Property

My Script:

The Stars:
Mr. Stubborn
Miss. Sunshine

Miss S.: Hello, Mr. Stubborn.  What a fine day it is.  What are you working on?
Mr S.: Hello, Miss. Sunshine. I am working on this Algebra question.  I have to simplify it.
Miss S.: What the question?
Mr S.: Why do you care?
Miss S.: Maybe I can help.
Mr S.: Fine whatever but I already have the answer.  The question is n + 3 - 5n + 12.  I know it is -6n + 15.
Miss S.: Hmmm....  That doesn't sound right.
Mr S.: It is right.
Miss S.:  It is wrong.
Mr S.: It is Right!
Miss S.: No. It is not.  The answer should be -4n + 15.  You have to group it by variables and numbers.  You add the groups together and you have the answer.
Mr S.: You're right.  I knew that.....  I was just testing you!
Miss S.:Okay.........  Any more questions?
Mr S.: Yes there is.  2 + 4(3n+4) but I know the answer to that one too.  It is 12n + 10.
Miss S.:  Wrong again.  The answer is 12n + 34.
Mr S.: What?!  No.
Miss S.: Yes.  You Multiply each number in the brackets by the number just out side of it.  So just the 4.  You add the 2 on after.  So you world get 12n + 32 + 2 after you multiply and then add the 2 to the 32 to get 12n + 34.
Mr S.: Right.  I knew that!  I was just testing you again.
Miss S.: Sure you were.  Glad to help.
Mr S.: Help.  You were only a pain in my neck.
Miss S.: Have a good day, Mr Stubborn.
Mr S.: Whatever, Miss Sunshine.

The Great Big Book Of Algebra

Sunday, December 7, 2008
Chapter 1: Integer Poetry

Adding: Haiku

Adding integers
using various numbers
to get the answer

Subtracting: Diamante

Subtracting
less, minus
losing, decreasing, minimizing
deduct, diminish - increase, boost
gaining, joining, inflating
sum, amount
Adding

Partitive Division: Cinquain

Partitive
divide, serve
parting, grouping, giving
sorting it all out
Division

Quotative Division: Haiku

Distant integers
How many can go into
The total number

Ron's Rule: Free Verse

Ron's Rule is effortless
So just remember this
A negative number of signs
is a negative answer, nothing is amissAlthough this is true, there is an opposite
A positive number of signs
is a positive answer, something that causes bliss


Chapter 2 : Combining like terms and the Distributive Property

Script:

Cadence: Hi Blaise

Blaise: Hi Cadence

Cadence: What are you up to?

Blaise: Oh nothing, just some math homework. It's pretty difficult...Harbeck is brutal!

Cadence: Really? Let's take a look. The first question is n+3-5n+12

Blaise: I got..-6n+15 for that one

Blaise: Is it right?

Cadence: Yes!

Blaise: Really?

Cadence: Of course not! Let me explain.

Cadence: In a algebraic expression, you have to group the variables and numbers. The easiest way to do that is to put them in order, variab

les first. After doing this the expression should be -5n + n + 3 + 12. Got me so far?

Blaise: I think so. But what happens af

ter that?

Cadence: Once that is done and over with, you can add the variables. -5n + n is -4n , right?

Blaise: Sure, why not?

Cadence: Now lets add the numbers, an

d finish simplifying the question.

Blaise: This is simplifying?!

Cadence: Yes, what else would it be?

Blaise: I thought it was solving the problem.

Cadence: Nope. Since there is no equals sign in this question, we are merely simplifying it.

Blaise: Gotcha.

Cadence: ... Right. Carrying on. Adding the two leftover numbers, 3 and 12, we get 15. To finish answering this question, we add

both the answer from the variables and the numbers. This comes out to -4n + 15.

Blaise: Oh, I see. I now know where I went wrong.. I added the variables differently than you did. -5n + n isn't -6n, it's -4n.

Cadence: Okay, onto the next question, which is 2+4(3n+8)

Blaise: Ha, well the answer to that was obvious.

Cadence: Well then, what was it?

Blaise: 12n+10

Cadence: No, Blaise. Your wrong. Again.

Blaise: Fine then. Explain how to figure out this question.

Cadence: Okay. The first thing that you notice that is different in this question is the brackets, and the number right beside t

hem. Since this number is touching the bracket, it becomes a multiplier. This means that you multiply both the numbers inside the brackets by it. But before starting on this, lets write down the 2 +. Now lets multiply. Since the question is 2+4(3n+8) we multiply 4 by 3n, which is 12n, and 4 by 8, which is 32.

Blaise: So the result so far is 2 + 12n + 32?

Cadence: Correct. As said in the last question explanation, we have to group numbers and variables. Since there is only 1 variable in this question it will not need to be grouped, so we can just group 32 and 2. Adding these together we get 34.

Blaise: The answer is 12n + 34!

Cadence: Good job Blaise, but since you still think your a ninja, I'm a bit creeped out.

Blaise: *random dancing*


Chapter 3 : One Step Equation Solving






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.

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


Chapter 1 Integer Poems

Haiku: Adding Integers

Adding Integers
I can add two integers
I know how to add

Cinquain :Subtracting Integers

Subtracting
loss, less than
subtracting means to reduce
Minus

Haiku: Multiplying

Multiplying Rocks
five multiplied by five
next comes dividing

Cinquain: Partitive Division

Divide in parts
equal parts, are in
Parts split up equally

Free verse: Quotitave Division

Quotitave division is like partitive
but in the same sense different
you need to understand it
to do your assingment.

Free verse: Multiplying rule/ Ron's rule



According to Ron when you multiply an odd number of negitive integers your product will be negitive, And when you multiply an even number of negitive integers you will get a product that is positive.


Chapter 2: Combining Like Terms

Stewie: How do you combine like terms?
Brian: Well Stewie first you see if there are any variables that are the sme letter you circle them.
Stewie: So if the question is n+3-5n+12 i circle the n and the 5n?
Brian: Yes
Stewie: Then what?
Brian: Well you rewirte the question so the like terms are grouped together.
Stewie writes: n-5n+3+12
Stewie: What's next?
Brian:Then you solve it
Stewie: Okay give me a minute.
Stewie writes: n-5n=5n+3=8n+12=2n. Is 20n the anwser?
Brian: Yes it is!
Stewie: Woo hoo I'm smarter then you!
Brian: I'm not so sure about that.
Brian: If your so smart then anwser this question...2 + 4(3n+8).
Stewie:ummm... I don't think i can anwser that one. Besides i'm only a baby
Brian: Okay I'll help you.

Stewie: Awsome

Brian: Well first you have to group the like terms which are 2+4+8 and add on the number with the variable. So the question will look like this 2+4+8x3n and that give you the anwser of 42n

Stewie: Thanks Brian

Brian: no problem buddy

Stewie: Well see you later

Brian: Bye Bye

Stewie: Peace out


SORRY IF THE VIDEO IS NOT THERE IT SHOWS UP ON MY IN THE POST EDITOR

Chapter 3

Chapter 4

The Great Big Book of Algebra

Thursday, December 4, 2008
Chapter One:

Cinquain:Adding
Adding
Easy, hard
Thinking, solving, trying
Really easy to learn
Addition
Haiku:Subtracting
There's no subtracting
Always add it's opposite
Now you have to add

Free Verse:Ron's Rule

Ron's rule is not a pain in the butt,
Just listen to what I have to say, and you'll have a shortcut!
Even number of negative integers equals positive.
Odd number of negative integers equals negative.
See! It isn't all that bad,
I hope you didn't get all that mad.
Use Ron's rule and you'll never fail,
Use this rule, and don't bail!

Tanka:Quotative

Simply use pictures
Use algebra tiles for this
Draw amount needed
Circle number of groups told
How many circled groups seen?

Free Verse:Partitive

Want to learn how to divide using partitive?
Well, I'm here to tell you, so don't worry, you'll live.
For partitive, you need to make groups.
This isn't one of those "oops".
Draw the amount of algebra tiles needed.
This is what I did, and I succeeded.
Share them like a deck of cards.
And no, I don't mean billiards.
How many algebra tiles in each group?
Now that you have your answer, you can go shoot some hoops.

Chapter Two: Combining Like Terms and the
Distributive Property

Here's my script:
Matthew: Hi, Auntie Donna!
Auntie Donna: Hi Matthew!
Matthew: I have a math test tomorrow and I was wondering if you could test me with a couple of algebra questions.
Auntie Donna: Oh, sure. Hmm... Let me think of one... How about n+3-5n+12.
Matthew: Hmm... I think the answer is -6n+15
Auntie Donna: Your answer is incorrect, Matthew. Let's simply go back and take a look at how to do this question, and what you did wrong while solving it.
Matthew: Oh, shucks! Well, alright...
Auntie Donna: Well, first you must re-group the numbers to make it easier to solve. Therefore it should be, n-5n+3+12.Then combine like terms and solve it. Which means combine all the terms that are the same. Now, it should be, -4n+15. Now you have simplified it.
Matthew: Well, what did I do, to get my incorrect answer?
Auntie Donna: Hmm... Well, if we go back and look at it, you added -n and -5n instead of subtracting -5n from n.
Matthew: Oh, I see I see... Can you give me one more question?
Auntie Donna: Sure. How about, 2+4(3n+8).
Matthew: Okay, I'll try it. Uh... I came up with 12n+10.
Auntie Donna: Once again, you're incorrect. Let's go back and do step by step again.
Matthew: Aww... okay.
Auntie Donna: Okay, so with this question, there is distributive property going on. You can underline it so that you know where it happens. So, put the 2 first because you know that it's going to stay because it's not part of the distributive property. Now, take the number beside the bracket and multiply the two terms inside the brackets. It should now be, 2+12n+32. Now re-group it. It should be, 12n+2+32. Combine the like terms like last time. It should be, 12n+34. And that should be your simplified expression.
Matthew: Oh, right. Well, explain to me what I did wrong.
Auntie Donna: Oh yeah. Well, when you first looked at the question, instead of multiplying both terms in the bracket, you just multiplied the first one, and added the last two integers. Which is why you got the answer 12n+10.
Matthew: Ooooohhh. I get it now. It really is easy now that you've explained it all. Thanks Auntie Donna! I hope I do well on my math test.
Auntie Donna: Oh, I'm sure you will, but just remember to go step by step. It's okay to use lots of paper because we recycle!

Here is my math video on xtranormal.com :)

Chapter 3: One Step Equation Solving
Additive: First, I isolated the variable. I isolated the variable by adding its opposite, which would be -2. Since I added -2 to the left side, I must balance it out, so I have to add it to the right side. After that, I crossed out +2 and -2, because they make zero pairs, and zero pairs are worth nothing. Then, I got n=6-2. So I solved 6-2, which led me to n=4. Finally, I verified by plugging in what n equals where n is supposed to go.
Subtractive: First, I isolated the variable by adding +3 to the left side, then I also did it on the other side to balance it out. Next, I crossed out -3 and +3 because they are zero pairs. Next I solved 7+3. Then I got n=10. Finally, I verified by plugging in what n equals where n is supposed to go.Multiplicitave: First, I isolated the variable by dividing 3n by 3 on the left side, and I also did it on the right side to balance it out. Then I crossed out 3 and 3 because they cancel eachother out. Next, I solved 6/3. Then I got n=2. Finally, I verified by plugging in what n equals where n is supposed to go.


ATTENTION PLEASE ! : On, my title of the picture there, I meant to put DIVISIVE, not DIVISITIVE. Thank you. :)

Divisive: First, I isolated the variable by multiplying n by 2. Then I got 2n/2. I also did it on the other side to balance it out. Then I crossed out the 2 and the 2, because they cancel eachother out. Then I solved 4(2) and I got n=8. Finally, I verifiedby plugging in the what n equals where n is supposed to go.

Chapter Four:


The Great Big Book of Algebra

Chapter 1: Math Poetry

Picture poem: Adding
add
add
add
add
positive integers combined equals positive
positive add negative is same as subtract
add
add
add
add

Haiku: Subtracting
Add the opposite
It's better to change the sign
Change it to adding

Free verse: Partitive
To explain partitive,
you must stay on task.
If you ever get confused,
questions will be asked.

To explain partitive,
sharing must be done.
You have to make groups,
and divide the numbers one by one.

To explain partitive,
we're almost done you see!
Just remember sharing is important,
so share with you and me!

Tanka: Quotative
Sometimes it is hard,
sometimes it is easy!
If you learn how to,
you will agree completely!
What goes into what, that's all!

Free Verse: Ron's Rule
Multiplying
odd number of negative integers,
will make a negative product.
Multiplying

even number of negative integers,
will make a positive product.
Multiplying
using Ron's rule,
will always help you!

Chapter 2: Combining Like Terms and Distributive Property


Bear: Teddy! I need your help, can you help me?
Teddy: Sure Bear! What do you need help on?
Bear: Algebra obviously!
Teddy: Okay then.... What question?
Bear: Hm.. n+3-5n+12. I think the answer is is -6n+15.. But how do I draw how I got it?
Teddy: WRONG! The answer should be -4n + 15.
Bear: WHAT?!
Teddy: You get it by combining the like terms, n and -5n are like terms because they include n!
Teddy: Whenever you combine the like terms together, always bring the sign in front of it too.
Teddy: After you add n and -5n together, it's -4n because the n is a positive and not a negative.
Bear: Oh... What about the other numbers?
Teddy:Add 3 and 12 together, you just add together like normal numbers. The answer should be 15.
Bear: Haha oh I get it! Thanks Teddy. I need you to help me with on more question though!
Teddy: Sure, no problem. What is it?
Bear: 2 + 4(3n+8) Is the answer 12n+10? Because that's what I got!
Teddy: Sorry but that's not the answer.
Bear: Ugh.. Okay so what is the answer?
Teddy: When there's a bracket and a number beside it, the number that's touching the bracket is the multiplier of the numbers inside the brackets.
Bear: So then it's 3n multiplied by 4 and 8 multiplied by 4, right?
Teddy: Yup!
Bear: So then.. 3n times 4 is 12n.. and 8 times 4 is 32...
Bear: You add them all together .. 2+4+12n+32 ... which is...
Teddy: Hold on! That's wrong, you don't add the 4 because the 4 was already used as a multiplier. If a number has already been used, then you can't use it twice.
Bear: Oh.. okay, then it's 2+12n+32?
Teddy: Remember to combine like terms to make it look nicer.
Bear: Haha okay. Is the answer 12n+34 then? Because 2+32 is 34 and 12n has no like term.
Teddy: You got it!
Bear: Thank you so much Teddy! I owe you one!
Teddy: It's okay! Anything to help a friend, right?
Bear: Thanks Teddy! I'll see you in school tomorrow, okay?
Teddy: Okay!
Bear: Bye!

THE END :)
by the way: I kind of changed my script on the movie because the script was too long for it to all fit in one movie and I was lazy to make a continuation? So.. sorry if my movie is horrible and the camera angles are WRONG WRONG WRONG!



Chapter 3: One Step Equation Solving
Additive:


Subtractive:


Multiplicative:

Divisive:

Chapter 4:

^ HAHHA, sorry. My voice sounds so screwed up in the whole video. And I have a major lisp -_- Oh jee, and props to MAEDDAH LIMUACO, TRACY OCHOA! :) I hope you enjoyed our algebra tiles movie. It was fun making it. And sorry for the NOISY background people. HAHA, kidding you guys (y)

My Poems .

Haiku -
Addition..

Addition is fun
Its not a negative sign
but a plain old plus

Tanka-
Subtract..

some say take-away
but some also say subtract
anyway its said
you can do it just like that
subtraction equals awesome!

Cinquain-
Partitive..

Partitive
its easy
deal it out
simple, cool, fun, radical.
Division .

Cinquian-
Quotative..

Quotative
into groups
how many go?
figure it out alone
Division

Free Verse-
Rule for multiplying an integer..

Hey, did u know when u have 2 positives it would equal a negative? maybe? well its true!
did u also know that if u change one of the positives to a negative it equals negative? ha ha i sound smarter then u! but if u put it the other way it will still equal a negative, And did u also know that a negative x a negative equals.. a Positive ! no? i didn't think so. ha ha I'm just kidding, I have one more think to ask did u learn this all in Harbecks class?!

Lily : Hi i am Lily ,, whats your name?
Frankie : Hi my name is Frankie ,, whats your favorite thing to do around here?
Lily : Do algebra
Frankie: that sounds fun whats algebra?
lily: Algebra is math. excepts a different from just old 1+2, Theres letters in it,
frankie: ok.
lily: here ill show how to do one with 2 examples . the first question will be n+3-5n+12 . fist u have combine like terms. so that would be (n-5n) (+3+12) .
Frankie: so would it be -4n + 15 ?
Lily: Yeah . how did u know
Frankie: i think i might have done this before .
Lily: okay . well u should know the next one then
Frankie: Mabey ..
Lily: Try 2+4 (3n+8 .
Frankie:well if u multiply 4 by 3n and 4 by 8 it will equal 12n+32+2 but then put the in order and the answer will be 12n + 34
Lily: see your like pro at this!
Frankie: I know right! Well if you need anymore help with anything just give me a call! Bye!








Algebra Tiles - Video #1 from Melanie Lorraine on Vimeo.

The Great Big Book Of Algebra

Chapter One
Haiku- Adding Integers
Adding

Adding integers,
All together, combined, plus,
Gaining integer

Return to list of postsHaiku - Subtracting Integers

Subtract

Subtract property,
Subtract, minus integers,
Will help you get smart

Free Verse - Ron's Rule

Ron's Rule

If you want to pass
a math test
just follow Ron's easy quest
he made this rule
it sound pretty cool
if you want to hear it
give him some time
that homie still making it fine
last time I checked
it went little something like this
multiplying odd numbers of
negative integers
makes a negative product

Free verse - Partitive Division

Partitive

If you have division
integer questions
and it has a negative
on the first digit
then it's called
partitive division

Cinquan - Quotative Division
Quoative

positive,negative
writing, thinking, dividing
fun to draw and learn
groups


CHAPTER 2
Combining like terms and the Distributive Property
Script:
Nick "Hey how's it going?"
Alex "I'm doing fine. How about you ?"
Nick "Same here. Well I haven't seen you in the hallways at school in a while."
Alex "Oh that's because I'm been busy helping other students. That's all."
Alex "Hey listen I have a test tomorrow for math."
Alex "Well i kind of need help on it. Will you help me?"
Alex "It's about an algebra question. So, what is n+3-5n+12?"
Nick "Let me think. I think it is 4n+15."
Alex "Oh, well I think the answer is -6n+15."
Nick "Okay. Well, let us see. We first have to circle and regroup."
Alex "So I guess it would be n-5n+3+12."
Nick "Then you must simplify."
Nick "I think the answer is 4n."
Alex "Okay, but I think it's -6n instead of 4n."
Nick "Yes but it says that you have to subtract a number to 5n."
Nick "So the answer for +3+12 is +15!"
Nick "I guess the mistake that you made was that you added n and 5n together instead of subtracting it. Then that's why you got -6n."
Alex "Thank you!"
Nick "You are very welcome."
Nick "Since you asked me that kind of question. Well, I need help too."
Nick "It's a math question too. It's 2 + 4(3n+8)."
Nick "Well I think the an 12n + 10."
Alex "Oh. Let us see what we get with the right steps of how to do this. Okay? So this time we have to first identify the terms. That is 3n and 8.Then you multiply +4 and 3n. You'll get +12n."
Nick "Okay then you have to multiply +4 and +8? Then yeah I get +32"
Nick "Oh okay. Then I guess that's where I did mine wrong. I forgot that you have to multiply the ones in the brackets."
Alex "Well I guess so but let's see if you have anything else wrong."
Alex "Well, at the beginning we should have taken the 2 and bring it down."
Nick "We should have 2+12n+32?"
Alex "Yes! Then like the other question you have to circle and regroup them."
Alex "Then we'll end up with 34+12n."
Nick "Yes I get it now. Thank you for the help."
Alex "You're welcome and thank you for the help also."
Nick "So do you want to go to my house and have snacks?'
Alex "Yes. Okay. I'm starving after doing all this math questions."


Chapter 3 : One step Equation Solving

Here are some additive, subtractive, Multiplicative and divisive eqatuons.









Additive:

I solved this equation by using these 4 steps. First, isolate the variable, second cancel the opposite, third balance and forth verify. So, the first thing I did was I rewrote the equation and added the opposites. Then I canceled the opposite. Then do it on the other side so it would be balanced. So, then you get n=2. But you're not done yet because you have to verify. So I rewrote the question and I replaced the n to 4. So the answer will 5=5.



Subtractive:


This is how I solved this equation. First, I rewrote the equation, then I isolated the opposites. After I isolated the oppsites, I went and I canceled the opposites but you have to do it on the other side of the equal sign so it would be balanced. Well you're not done yet because you have to verify. So I rewrote the question then I replaced the n and put 11 because that was my answer earlier. Then the answer in 7=7.






Multiplicative:



This is how I solved this equation. So I rewrote the equation like I always do. Then I divided 2n to 2 to isolate the variable and canceled the zero pairs after. I did it on the other side so it would be balanced. So the answer would be n is equal 3. Then you have to varify if my answer was right. So I rewrote the question, then I replaced the n and multiplied 3. Then the answer would be 6=6.










Divisive:

This is how I solved this divisive equation. At first I started to rewrite the question, then I isolated the variable. So I multiplied the 4 to n divided by 4 and I also multiplied 4 and 3. Then I canceled the opposites. So the answer would be n=12. But I wasn't done yet because I haven't varify yet. So I rewrote the question again like I always do. Then I replaced the n and preplac it for 12. So the answer for this equation is 3=3.

Chapter 4: Algetile Video

During class, Mr. Harbeck told us to make a video about algebra equations using algetiles and in writing. We couldn't finish it at school because we kept restarting like 5 times. So I did it for homework this weekend.


Sorry, the last part was cut off because my memory was full but this is what I said "So you have to verify. So, rewrite the question and replace the n and put 8 and your answer will be 4=4."

The Great Book of Algebra

CHAPTER 1: Integer Poetry

Haiku- ADDING

Adding integers
Positive numbers are easy
Plus numbers are fun

Diamante- SUBTRACT

Subtract
Take away, decrease
Losing, removing, lessening
Add opposite like terms
Minusing, decreasing, diminishing
Reduce, minus
Negative

Free Verse- Partitive

Partitive
is sharing with what you have.
Partitive
is grouping numbers.
Partitive
is a way of dividing.
Partitive
is so easy!

Free Verse- Quotative

Quotative
is splitting into groups.
Quotative
is like normal dividing.
Quotative
is one of the three ways to divide.
Quotative
is very simple!

Free Verse- Ron's Rule

Ron's rule is a very simple rule
you can do it nothing to it
just remember the same sign's
are always positive and different
sign's are always negative.

CHAPTER 2: Combining like terms and Distributive Property

SCRIPT:
Kayla: Hey Shawn! How are you?
Shawn: Hey! I'm fine, and you?
Kayla: I'm fine, but can you help me with my math homework?
Shawn: Sure! What do you need help on?
Kayla: Well, my class and I are learning combining like terms and distributive property.
Shawn: Ah... that's easy. You'll understand in a jiffy.
Kayla: Okay, the first question is n+3-5n+12. How do I solve this question?
Shawn: Well, what do you think the answer is? I think it's... -6n+15, am I right or am I wrong?
Kayla: Your answer is close. The answer is actually -4n+15. How did you get the answer?
Shawn: First of all, you should circle the variable so you don't get confused with the other terms. Second, group like terms. This means put integers with the same variable together and the other integers together finally, simplify.
Kayla: Oh.. how do you simplify?
Shawn: To simplify, all you have to do is combine like terms.
Kayla: That's it? That is so easy!
Shawn: Of course it is once you know what to do. Is there anything else I can help you with?
Kayla: Actually, yes.. the next question has brackets.. i know I'm suppose to multiply, but I don't know which one to multiply.
Shawn: Whats the question?
Kayla: 2+4(3n+8)
Shawn: This is going to be easy, just like the first question!
Kayla: Wait, can I try this question on my own first?
Shawn: Sure, but tell me how you got the answer after.
Kayla: Well I think the answer is 12n+10. First of all, I knew the rule of multiply integers. So, I multiplied the 4 with 3n since there was a bracket. That's how I got 12n. I didn't know what to do with the other two numbers, so I added them together.

Chapter 2: Combining Like Terms and Distribute Property
It didn't work. I have it done but my video wont upload here.

CHAPTER 3: One Step Equation Solving
Here are some Addition, Subtraction Multiplying, and DivisionEquations !


RULES:
I-isolate
C-cancelling using the
O-opposite
B-balance
V-verify
*What you do to one side, you have to do the samething to the other side!"*

ADDITION:



The first question is n+8= 17. As you can see, I've isolated n by using the opposite of +8 (which is obviously -8). What you do on one side, you have to do the same thing on the other side. So, I put -8 beside 17 to balance it out. You're left with n= 9. That is how you solve n. Now, you have to verify so you can get full marks.
SUBTRACTION:



The second questions is n-7=10. The rules are similiar to the additive equations. Isolate to get n by using the opposites, balance and verify. It's like adding, you need to isolate the variable by cancelling out using opposites. I've isolated n by using the opposite of -7 (which is obviously +7). Don't forget to balance it out by doing what you do to one side, so you do the same thing to the other side. Now, your left with n=17. After the question has been solved all you have to do is verify.

MULTIPLYING:


The third question is 4n=-8. Again, the rules still apply to multiplication as well. When you're isolating n in a multiplication equation, you divide since you need to cancel them out. You do the same thing to the other side. Now , you have to figure out what -8/4 is in order to get n. Your left with n=-2. Now that your done solving the question, you have to verify.

DIVISION:



Finally, the last question is n/4=3. After that, you do the same thing again as the rest of the questions we did. You have to multiply to isolate n when you're doing a division equation. Do the same thing to the other side. Figure out what 3(4) is. Which leaves you with n= 12. After solving the question you Verify. Now you know how to do one step equations!

CHAPTER 4: Algetile Video

During math class , we were told to make a video about a algebra equations using algetiles. We had to work on it at lunch, because we didn't get to finish it during class. So, sorry for the background noise. Props to: Hanbit, Maeddah, and Tracy.

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