Adding Integers (Free Verse)
There was once a boy who did not know how to add,
So the boy asked his dad,
and his dad said, "go to school son!"
So, the boy went to school,
and he thought it was cool!
Subtracting Integers (Cinquain)
Subtraction
Negatives,differences
Reducing,diminishing,subtracting
Taking away the numbers
Terminator
The Rule for Multiplying Integers (Tanka)
Multiplication
is doubled by some numbers
Expecting no fruits
Except for a cucumber
Multiples of cucumbers!
Partative Division (Free Verse)
How many equal parts are in 4 when you have 12?
Gee, if you look at your barn you'll have an answer!
And if you find out, I'm sure you'll become a great dancer!
Quotative Division (Haiku)
Division is hard
But if you are going to school,
It should be as cake!
The Great Big Book of Algebra
CHAPTER 1
Free Verse Subtracting Integers
Subtracting integers is a breeze
But now this, its kind of a tease
Add do not subtract
Subtracting is whack
But a myth, I'm quietly pleased
Free Verse Thee Rule of Multiplication
When you are starting an equation
Of course there will be a little multiplication
First thing is find which integer it is
Separate things if the equation disses
Combine the matching group
Make sure you don't poop
When the brackets do what they are doing
Don't be confused just do what you do, simply solving
Just multiply them. You sophisticated mammal
The rest is easy don't get that hasty you crazy animal
Haiku Quotative Division
The Key word is "in"
But how many things are in "in"
Just to the dang math
Tanka Partitive Division
Partitive is good
Just like quotative, but more
"Sophisticated"!
The key is the "equal groups"
Beware, can be an error
Picture Adding
Add
Plus
da carlo script of video of life chapter two
BLUE Gilligan BLACK Micky
Who who, what is up everybody, who who
The fudge was that suppose to mean no one is here, douche bag.
who who, iunno, who who.
well that was freaken buttish
who who shut it no one in the universe can say your name even Albert Einstein !! So we call you Gilligan, who who.
son of a........
who who, Don't swear or i' ll bleep it out, who who.
that's it.
beep beep beep beep beep beep beep.
I hate you Micky heh heh.
who who, heh heh he you just got powned, who who.
shut it.
who who, you know that guy is staring at your legs, who who.
Yeah that guy didn't move for 7 hours.
who who, so what do you want you called me, who who.
Yeah I came to tell you that you suck, and theres a bomb.
who who, tell me where is the bomb,who who.
up your buttocks ,heh heh heh.
who who, no seriously, who who.
under that half naked guys chair
who, who, gotcha.
Now how do we detach it,
who who.iunno.who, who
I hate you Gilligan.
But hold a fudging seconds theres a freaken letter, who who
what does it says?
who who, it says.. Answer these baloney and the bomb will be defused.. Oh yeah there will be candy if you get the bomb, who who.
what!!!!
who who, i know we have do defuse it, who who.
screw that dirt, I mean the candy.
who who, your an idiot, who who.....
Okay the first question says N plus three minus five N plus twelve, who who.
iunno wanna do something random.
who who, well that was stupid again.
Here let me solve it.. And quick I might catch stupid. Well put the same family of signs put together or what you call terms, so N and 5N with 4n and minus sign between it is now equal to 4N y'all and the other is 15 so the answer is 4N plus 15 am I right bomb,who who.
holy beep. its right. i think.
who who the next question says 2+ 4(3n +8), who who.
this time i'll be serious is the answer infinity.
who, who what are you, on a veal, who who now I have to explain it before the stupid catches on!!! So i'll start of with the brackets the number for is what you call touching the bracket impropriety so its multiplying so four has to do it with 3n and 8 so they equal 12n and 32then you add those to make 34 and then it equals 12n + 34... well isn't that right bomb..., who who well the bomb says close enough, then it says you don't get candy.. what.... no ...no ..no candy noooooooooooooooooooooooo!!
CHAPTER 3
CHAPTER 4
Free Verse Subtracting Integers
Subtracting integers is a breeze
But now this, its kind of a tease
Add do not subtract
Subtracting is whack
But a myth, I'm quietly pleased
Free Verse Thee Rule of Multiplication
When you are starting an equation
Of course there will be a little multiplication
First thing is find which integer it is
Separate things if the equation disses
Combine the matching group
Make sure you don't poop
When the brackets do what they are doing
Don't be confused just do what you do, simply solving
Just multiply them. You sophisticated mammal
The rest is easy don't get that hasty you crazy animal
Haiku Quotative Division
The Key word is "in"
But how many things are in "in"
Just to the dang math
Tanka Partitive Division
Partitive is good
Just like quotative, but more
"Sophisticated"!
The key is the "equal groups"
Beware, can be an error
Picture Adding
Add
Plus
Increase
Greater than the original
Increased by how many things
Answer Can be a negative too
Level up
larger
more
da carlo script of video of life chapter two
BLUE Gilligan BLACK Micky
Who who, what is up everybody, who who
The fudge was that suppose to mean no one is here, douche bag.
who who, iunno, who who.
well that was freaken buttish
who who, well at least my character doesn't sound like a girl, who who.
ah, touche.who who, so my name is Micky, who who.
And my name is..................who who shut it no one in the universe can say your name even Albert Einstein !! So we call you Gilligan, who who.
son of a........
who who, Don't swear or i' ll bleep it out, who who.
that's it.
beep beep beep beep beep beep beep.
I hate you Micky heh heh.
who who, heh heh he you just got powned, who who.
shut it.
who who, you know that guy is staring at your legs, who who.
Yeah that guy didn't move for 7 hours.
who who, so what do you want you called me, who who.
Yeah I came to tell you that you suck, and theres a bomb.
who who, tell me where is the bomb,who who.
up your buttocks ,heh heh heh.
who who, no seriously, who who.
under that half naked guys chair
who, who, gotcha.
Now how do we detach it,
who who.iunno.who, who
I hate you Gilligan.
But hold a fudging seconds theres a freaken letter, who who
what does it says?
who who, it says.. Answer these baloney and the bomb will be defused.. Oh yeah there will be candy if you get the bomb, who who.
what!!!!
who who, i know we have do defuse it, who who.
screw that dirt, I mean the candy.
who who, your an idiot, who who.....
Okay the first question says N plus three minus five N plus twelve, who who.
ooh ooh i know what is it.. its 1,000,000 plus 4,000 N.
who who how the heck did you get that stupid answer, who who.iunno wanna do something random.
who who, well that was stupid again.
Here let me solve it.. And quick I might catch stupid. Well put the same family of signs put together or what you call terms, so N and 5N with 4n and minus sign between it is now equal to 4N y'all and the other is 15 so the answer is 4N plus 15 am I right bomb,who who.
holy beep. its right. i think.
who who the next question says 2+ 4(3n +8), who who.
this time i'll be serious is the answer infinity.
who, who what are you, on a veal, who who now I have to explain it before the stupid catches on!!! So i'll start of with the brackets the number for is what you call touching the bracket impropriety so its multiplying so four has to do it with 3n and 8 so they equal 12n and 32then you add those to make 34 and then it equals 12n + 34... well isn't that right bomb..., who who well the bomb says close enough, then it says you don't get candy.. what.... no ...no ..no candy noooooooooooooooooooooooo!!
Well Gilligan tough cheese for you.. wait.. wait. im no suppose to say that. the stupid caught me. noooooooooooooooooooooooooo.
CHAPTER 3
CHAPTER 4
The Great Big Book of Algebra
Adding Integers(Free Verse)
On my way home
I think of a math poem
Addition, subtraction, division, and multiplication
Which will I choose as my inspiration
A number added to another number
Will give a sum for an answer
Adding both positive and negative number
Will give you a sum of an even number
Adding integers is interesting
Like the first time I started singing
Adding both positive will give a positive sum
That`s what I tell them, and they just sit there on their bum
So next time if you want to know something about adding integers
Just remember what I said, because it`s as easy like opening letters.
Partitive Division(Haiku)
Dealing with some cards,
Sharing equal numbers of
cards with each player.
QuotativeDivision(Haiku)
Doesn't work for the
negative and positive
integer question.
Subtracting Integers(Free Verse)
Right after we finished learning about adding integers
Mr. Harbeck told us that the next thing we will learn about is subtracting integers
He said that subtracting is a myth,
To subtract integers you need to add the opposite
After he explained everything
He gave us work to do, and I started subtracting
Subtracting is like adding integers
But using different numbers
When you forget how to do it
Just think, think, think
And it will come to you as fast as a wink!
Rules for Multiplying Integers(Free Verse)
If you want to do better in school
Just follow these rules
When you multiply integers remember not to get confused with the order of operation
Don`t you forget it or you will get the wrong answer for the equation
If you multiply an odd amount of negative integers your product will be a negative
When you multiply an even amount of negative integers your product will be a positive
If you think about it, it`s really easy
just keep on trying until you are sleepy
Chapter 2: Combining Like Terms and The Distributive Property (script)
Jasmine: Yes I did. The answer that I got for the question: n+3-5n+12 is -4n+15.
Sarah: The answer that I got for that question is -6n+15, but I'm not sure if it's right. Can you explain to me how you solved that question?
Jasmine: Of course I will help you. First step is you need to put n and the -5n, and find the answer which is -4n. Then add the +3 and +12 which gives you +15. Next, combine the variable which is -4n with the constants that is +15, and you get the answer -4n+15.
Sarah: Wow! I never knew that it was supposed to be solved that way. At least now I have the right answer. For the second question: 2+4(3n+8), the answer that I got is 12n+10. Could you please help me solve it, to find out if my answer is wrong or right?
Jasmine: No problem! First, you need to keep the 2. Then multiply the +4 and the 3n inside the brackets, giving you +12n. Next, multiply the +4 and the +8 inside the brackets, giving you +32. After multiplying the +4 with each of the terms inside the brackets, put the variable which is +12n in the front. Next, add the constants, which is +2 and +32, giving you +34. Finally, combine the +12n and the +34, and you will get 12n+34.
Sarah: Now I know how to combine like terms and how to solve an algebraic equation with a distributive property. Thanks, Jasmine for all of the help.
Jasmine: You're welcome, Sarah! I'm just glad that you understand everything that I taught you.
THE END!!
CHAPTER THREE: One Step Equation Solving
Here are 4 different equations.
When you are solving a multiplicative type of equation, you need to use ICOBV. First you need to isolate the n, and to do that you need to cancel using the opposite of multiplication which is division. So you divide 3n to 3, and to balance it you need to do the same thing on the other side which is dividing the 6 by 3. N will equal to 2. The next thing you do is verify. To verify you need to rewrite the equation and then replace the n with the 2. Finally, you need to write 6=6.
When solving a division kind of equation you will still need to use ICOBV. First you need to isolate the n. To isolate the n you need to use the opposite of division, which is multiplication. Multiply the n by 4 and balance it by multiplying by 4 four on the other side so you need to multiply the 3 by 4. Your n will be 12. The last step is to verify. Rewrite the equation and replace the n with 12. Finally, write 3=3 to finish solving the equation.
To solve a question like this you will still need to use ICOBV. First, you need to isolate the n, and to do you have to use the opposite of addition which is sutraction. You need to add a negative 9 on the left sideand add a negative 9 on the other side to balance it. Then your n will equal to 26. As always the last thing to do is to verify. To verify you will need to rewrite the equation and substitute the n with the 26 which will equal to 17. Then write 17=17.
For this last equation, you will need to use ICOBV again. First you need to isolate the n, and to do that you will need to use the opposite of subtraction which is addition. You will need to add a positive 6 on the left side, and do the same on the other side to balance it. Your n will be 20. The last thing is to verify it. Rewrite the equation and substitute the n with the 20, and it will equal to 14. Then write 14=14.
Chapter 4
Here is a video for chapter 4.
On my way home
I think of a math poem
Addition, subtraction, division, and multiplication
Which will I choose as my inspiration
A number added to another number
Will give a sum for an answer
Adding both positive and negative number
Will give you a sum of an even number
Adding integers is interesting
Like the first time I started singing
Adding both positive will give a positive sum
That`s what I tell them, and they just sit there on their bum
So next time if you want to know something about adding integers
Just remember what I said, because it`s as easy like opening letters.
Partitive Division(Haiku)
Dealing with some cards,
Sharing equal numbers of
cards with each player.
QuotativeDivision(Haiku)
Doesn't work for the
negative and positive
integer question.
Subtracting Integers(Free Verse)
Right after we finished learning about adding integers
Mr. Harbeck told us that the next thing we will learn about is subtracting integers
He said that subtracting is a myth,
To subtract integers you need to add the opposite
After he explained everything
He gave us work to do, and I started subtracting
Subtracting is like adding integers
But using different numbers
When you forget how to do it
Just think, think, think
And it will come to you as fast as a wink!
Rules for Multiplying Integers(Free Verse)
If you want to do better in school
Just follow these rules
When you multiply integers remember not to get confused with the order of operation
Don`t you forget it or you will get the wrong answer for the equation
If you multiply an odd amount of negative integers your product will be a negative
When you multiply an even amount of negative integers your product will be a positive
If you think about it, it`s really easy
just keep on trying until you are sleepy
Chapter 2: Combining Like Terms and The Distributive Property (script)
Characters: Sasha, and Jasmine
Sarah: Hi, Jasmine! So did you finish the questions that Mr.Harbeck gave us for homework?Jasmine: Yes I did. The answer that I got for the question: n+3-5n+12 is -4n+15.
Sarah: The answer that I got for that question is -6n+15, but I'm not sure if it's right. Can you explain to me how you solved that question?
Jasmine: Of course I will help you. First step is you need to put n and the -5n, and find the answer which is -4n. Then add the +3 and +12 which gives you +15. Next, combine the variable which is -4n with the constants that is +15, and you get the answer -4n+15.
Sarah: Wow! I never knew that it was supposed to be solved that way. At least now I have the right answer. For the second question: 2+4(3n+8), the answer that I got is 12n+10. Could you please help me solve it, to find out if my answer is wrong or right?
Jasmine: No problem! First, you need to keep the 2. Then multiply the +4 and the 3n inside the brackets, giving you +12n. Next, multiply the +4 and the +8 inside the brackets, giving you +32. After multiplying the +4 with each of the terms inside the brackets, put the variable which is +12n in the front. Next, add the constants, which is +2 and +32, giving you +34. Finally, combine the +12n and the +34, and you will get 12n+34.
Sarah: Now I know how to combine like terms and how to solve an algebraic equation with a distributive property. Thanks, Jasmine for all of the help.
Jasmine: You're welcome, Sarah! I'm just glad that you understand everything that I taught you.
THE END!!
CHAPTER THREE: One Step Equation Solving
Here are 4 different equations.
When you are solving a multiplicative type of equation, you need to use ICOBV. First you need to isolate the n, and to do that you need to cancel using the opposite of multiplication which is division. So you divide 3n to 3, and to balance it you need to do the same thing on the other side which is dividing the 6 by 3. N will equal to 2. The next thing you do is verify. To verify you need to rewrite the equation and then replace the n with the 2. Finally, you need to write 6=6.
When solving a division kind of equation you will still need to use ICOBV. First you need to isolate the n. To isolate the n you need to use the opposite of division, which is multiplication. Multiply the n by 4 and balance it by multiplying by 4 four on the other side so you need to multiply the 3 by 4. Your n will be 12. The last step is to verify. Rewrite the equation and replace the n with 12. Finally, write 3=3 to finish solving the equation.
To solve a question like this you will still need to use ICOBV. First, you need to isolate the n, and to do you have to use the opposite of addition which is sutraction. You need to add a negative 9 on the left sideand add a negative 9 on the other side to balance it. Then your n will equal to 26. As always the last thing to do is to verify. To verify you will need to rewrite the equation and substitute the n with the 26 which will equal to 17. Then write 17=17.
Chapter 4
Here is a video for chapter 4.
The Great Big Book Of Algebra
The Rule For Muliplying (Free Verse)
Multplying integers is easy if you know a rule.
Try it, try it! it will help you in school.
First look at your question. Don't be a fool.
Or else the only thing you'l do is sit there and droule.
Odd or even negative symbols is the key.
It's just like finding apples from a tree.
Don't get mixed up with an order of operation.
Or that will only lead to a wrong equation.
An odd amount of negative integers equals a negative product.
Now do the opposite for even and then you have got it!
One more thing that I have to say before I leave.
If you have no negative integers, a positive amswer you will reveive.
Partitive Division (Free Verse)
How many equal parts go into 4 groups?
Fill 8 karts, then group them with 4 loops.
It's just like 4 armies with only 2 troops.
Count each part in one group with your vision.
Now you have just done partitive division.
Quotative Divistion (Free Verse)
How many groups of 2 go into 4.
Draw 2 circles, than two more.
Fill those circles in so positive they will be.
That circle each group of two that you see.
Count each group just like counting each prision.
Now you have just done quotative division.
Adding Integers (Haiku)
Very nice and kind.
I am not blind, I don't mind.
Adding integers.
Subtracting Integers (Cinquan)
Subtract,
Does not exist.
Takes everything away.
Makes you feel sad because you lost.
Reduce.
Chapter 2 Combining Like Terms and Distributive Property
Hi Chicken what did you do today. Oh hi Santa, I just went to school. What did you do at school. First I had a math test. Then I had snack time. After snack time we had a science test. On the test, I got 1000 percent. Then we had nap time. Hold on. You never said anything about the your math test is there something wrong? No, it is just that i got two questions wrong on the test. I don't know what I did wrong. Can you help me. Okay! Tell me the first question that you had trouble on and explain what you did. Okay. The question is n+3-5n+12. The first thing that I did was add the two n variables to get an answer of 6n. Next I added the 3 and the 12 together to get an answer of 15. Then I brought the two answers that I got and put the subtracting sign in between them. This is where you went wrong. Instead of including the negative sign with the 5n, you counted it as an order of operation. To solve this question, the first thing that you do is circle all of the variables that you see including the positive or negative symbol with you variable. Next you have to add the variables together that match eachother. If you see an uh oh, just add the opposite. What is an uh oh. An uh oh is when a variable is subtracting a negative variable. What is the other question that you were having trouble in. The question was 2+4(3n+8). The answer that I got was 12n+10. The first thing that I did was multiply the 4 with the 3n to get an answer of 12n. The next thing that I did was add the 2 and the eight together to get an answer of 10. Then I brought down the two answers that I got and put an addition sign in between them. Here is where you went wrong. Instead of multiplying both of the numbers in the brackets then adding the 2 with the answer that you got that has the same variable as that one, you just multiplied one of the numbers in the brackets with the 4 and then adding the 2 with the other number that has the same variable as that one. Thanks Santa, now I know that on the next test that I get on math, I will for sure get 1000 percent.
This is my movie below:
Chapter 3
Multiplicitive
-In the brackets it is a 3 and it says n=3 not 9
Division
Addition
Subtraction
Chapter 4
Multplying integers is easy if you know a rule.
Try it, try it! it will help you in school.
First look at your question. Don't be a fool.
Or else the only thing you'l do is sit there and droule.
Odd or even negative symbols is the key.
It's just like finding apples from a tree.
Don't get mixed up with an order of operation.
Or that will only lead to a wrong equation.
An odd amount of negative integers equals a negative product.
Now do the opposite for even and then you have got it!
One more thing that I have to say before I leave.
If you have no negative integers, a positive amswer you will reveive.
Partitive Division (Free Verse)
How many equal parts go into 4 groups?
Fill 8 karts, then group them with 4 loops.
It's just like 4 armies with only 2 troops.
Count each part in one group with your vision.
Now you have just done partitive division.
Quotative Divistion (Free Verse)
How many groups of 2 go into 4.
Draw 2 circles, than two more.
Fill those circles in so positive they will be.
That circle each group of two that you see.
Count each group just like counting each prision.
Now you have just done quotative division.
Adding Integers (Haiku)
Very nice and kind.
I am not blind, I don't mind.
Adding integers.
Subtracting Integers (Cinquan)
Subtract,
Does not exist.
Takes everything away.
Makes you feel sad because you lost.
Reduce.
Chapter 2 Combining Like Terms and Distributive Property
Hi Chicken what did you do today. Oh hi Santa, I just went to school. What did you do at school. First I had a math test. Then I had snack time. After snack time we had a science test. On the test, I got 1000 percent. Then we had nap time. Hold on. You never said anything about the your math test is there something wrong? No, it is just that i got two questions wrong on the test. I don't know what I did wrong. Can you help me. Okay! Tell me the first question that you had trouble on and explain what you did. Okay. The question is n+3-5n+12. The first thing that I did was add the two n variables to get an answer of 6n. Next I added the 3 and the 12 together to get an answer of 15. Then I brought the two answers that I got and put the subtracting sign in between them. This is where you went wrong. Instead of including the negative sign with the 5n, you counted it as an order of operation. To solve this question, the first thing that you do is circle all of the variables that you see including the positive or negative symbol with you variable. Next you have to add the variables together that match eachother. If you see an uh oh, just add the opposite. What is an uh oh. An uh oh is when a variable is subtracting a negative variable. What is the other question that you were having trouble in. The question was 2+4(3n+8). The answer that I got was 12n+10. The first thing that I did was multiply the 4 with the 3n to get an answer of 12n. The next thing that I did was add the 2 and the eight together to get an answer of 10. Then I brought down the two answers that I got and put an addition sign in between them. Here is where you went wrong. Instead of multiplying both of the numbers in the brackets then adding the 2 with the answer that you got that has the same variable as that one, you just multiplied one of the numbers in the brackets with the 4 and then adding the 2 with the other number that has the same variable as that one. Thanks Santa, now I know that on the next test that I get on math, I will for sure get 1000 percent.
This is my movie below:
Chapter 3
Multiplicitive
-In the brackets it is a 3 and it says n=3 not 9
Division
Addition
Subtraction
Chapter 4
The Great Big Book of Algebra
Chapter One: Integer Poetry
Cinquain - Adding Integers
Addition
Increased-combined
Total is called the sum
Negative, positive, zero
Plus
Tanka - Subtracting Integers
Though we still subtract
But we don't really do it
Reducing is no sweat
To find out the difference
Be master of subraction
Haiku - Partitive Division
Doesn't work always
A Certain number of parts
It's quick and simple
Free Verse - Quotative Division
Quotative division is how many groups are in a number
If you know how to do this you won't need to go to school in the summer
Sometimes quotative does not work
If you don't know what it works for I guess you have to do it for homework
Divide the number into equal groups
But it's not as hard as getting out of sticky goop
Free Verse - The Rule for Multiplying Integers
Multiplying integers isn't that hard
If you know how to do this you are a star
The rule is really easy
But if you don't know the rule you won't get queasy
Chapter 2: Combining Like Terms and the Distributive Property
The Movie Script
Cubby:Hey Toby!
Toby: Hey Cubby!
Cubby: know you haven't been at school lately, but we learned this new unit in class today and it is called algebra.
Toby: What's it about?
Cubby: Well so far we learned how to combine like terms and the distributive property.
Toby: Cool!
Cubby: Here's a question. What is the simplified form of n+3-5n+12?
Toby: I think it's -6n+15
Cubby: Wait, let me think. Sorry Toby, you're wrong the correct answer is -4n+15 because you have to combine the like terms first then add whatever is left. First you combine the n and 5n which is -4n. Then you add 3 and 12 which equals 15 and your result will be-4n+15. I think what you did was you added the -5 with the n and you thought it was -6n. Then you got the second part right. Do you get it?
Toby: I get it now.
Cubby: Try this question. What is the simplified form of 2+4(3n+8)?
Toby: I think it's 12n+10.
Cubby: Sorry Toby you are wrong. The right answer is 12n+34 because first of all you multiply the 4 with 3n which equals 12n. Then you multiply 4 with 8 which is 32.Then now you have 12n+2+32. Now you add up 2 and 32 which is 24. The answer will be 12n+24. I think what you did was you multiplied the 4 with 3n which is 12. Then you added the 2 with the 8 which equals 10 and that is how you got 12n+10.
Toby: Oh I see. Math is so hard! I will never get it.
Cubby: Yeah you will, if you just keep practicing and practicing. Then you'll get it.
Toby: Well I have to go now. Bye!
The Movie
Chapter 3: One Step Equation Solving
Finally, division.
Cinquain - Adding Integers
Addition
Increased-combined
Total is called the sum
Negative, positive, zero
Plus
Tanka - Subtracting Integers
Though we still subtract
But we don't really do it
Reducing is no sweat
To find out the difference
Be master of subraction
Haiku - Partitive Division
Doesn't work always
A Certain number of parts
It's quick and simple
Free Verse - Quotative Division
Quotative division is how many groups are in a number
If you know how to do this you won't need to go to school in the summer
Sometimes quotative does not work
If you don't know what it works for I guess you have to do it for homework
Divide the number into equal groups
But it's not as hard as getting out of sticky goop
Free Verse - The Rule for Multiplying Integers
Multiplying integers isn't that hard
If you know how to do this you are a star
The rule is really easy
But if you don't know the rule you won't get queasy
Chapter 2: Combining Like Terms and the Distributive Property
The Movie Script
Cubby:Hey Toby!
Toby: Hey Cubby!
Cubby: know you haven't been at school lately, but we learned this new unit in class today and it is called algebra.
Toby: What's it about?
Cubby: Well so far we learned how to combine like terms and the distributive property.
Toby: Cool!
Cubby: Here's a question. What is the simplified form of n+3-5n+12?
Toby: I think it's -6n+15
Cubby: Wait, let me think. Sorry Toby, you're wrong the correct answer is -4n+15 because you have to combine the like terms first then add whatever is left. First you combine the n and 5n which is -4n. Then you add 3 and 12 which equals 15 and your result will be-4n+15. I think what you did was you added the -5 with the n and you thought it was -6n. Then you got the second part right. Do you get it?
Toby: I get it now.
Cubby: Try this question. What is the simplified form of 2+4(3n+8)?
Toby: I think it's 12n+10.
Cubby: Sorry Toby you are wrong. The right answer is 12n+34 because first of all you multiply the 4 with 3n which equals 12n. Then you multiply 4 with 8 which is 32.Then now you have 12n+2+32. Now you add up 2 and 32 which is 24. The answer will be 12n+24. I think what you did was you multiplied the 4 with 3n which is 12. Then you added the 2 with the 8 which equals 10 and that is how you got 12n+10.
Toby: Oh I see. Math is so hard! I will never get it.
Cubby: Yeah you will, if you just keep practicing and practicing. Then you'll get it.
Toby: Well I have to go now. Bye!
The Movie
Chapter 3: One Step Equation Solving
This chapter is about how to solve one step algebraic equations. As you may know the goal of solving an equation is to get the variable by its self and to find the value of it. By doing that you must Isolate the variable, Cancel using the Opposite, Balance and Verify. Also known as ICOBV.
This first one is about addition.
This one is about subtraction.
This one is about multiplication.
Finally, division.
Chapter 4
This chapter is about using algetiles for solving one step equations. I did this chapter with my friends Giselle and Linda. We explained everything on this video below.
Chapter 2
(Haiku) - Adding Integers
Adding integers
Adding numbers together
It's really easy.
(Free Verse) - Subtracting
When you subtract a positive integer into a negative integer you get something wild .. like a tiger. His eyes are like fire, the number gets higher and higher like people singing in a choir. Sometimes i know its hard looking at the board and confuse, and you refuse and when the teachers asks you whats the answers is, you lose. You choke and say ' I don't know ' and Harbeck says ' Why won't you just show ' He said ' ok , let me do it my way, to get a positive integer, you gotta' be patient and think, not blink and just to sink from the bottom to the top, and when you finally realize the answer then that's when you stop. All you have to do is add the opposite, and when you add the opposite then that's it.
(Free Verse) Partitive
Partitive's easy, like taking candy from a baby. All you really have to do is divide and decide by dragging em' numbers into a group, and count how many times it'll get in.
(Tanka) Qoutative Division
Quotative Division
come on let's give it a try
just ..
it might be really hard
but but come on give it a try.
(Free Verse) Multiplying Integers
multiplying integers
our class created 2 rules to fallow
look at your equation.
how many negative integers do you have there
Mark it on a piece of paper
tell me ,
do you have a negative amount of integers ?
well if you do your sum must always be a negative
negative one or negative 102
or is it an even amount ?
well don't have a doubt
when you have an even amount ,
your sum must be a positive.
Great Big Book of Algebra, Chapter2.
John : Jennifer! wait up. Long time no talk man. Where have you been these days?
Jennifer : Just busy, since it's the holidays. The real question is, where have you been these days? ( They both laughed. )
John : Haha, pretty much the same. I'm just here to pick out some stuff for the family.
Jennifer : Oh i see, well I'm here alone, what about you?
John : Yeah, same here. My wife's at work, and the kids are at basketball practice.
Jennifer : Oh, they play basketball? Same with my daughter.
John : Oh really, well i gotta' get going. Need a ride?
Jennifer : Sure, thanks.
( In the car .. )
John : So where you off to now?
Jennifer : Well, i really have nothing to do at this moment.
John : Well, uhm. wanna' go out to eat? My treat ( He smiled)
Jennifer : Haha, sure.
John : Hey, i have these math questions that been bugging me for awhile, think you can help?
Jennifer : Yeah, no problem.
John : One of the questions is n+3-5n+12.
Jennifer : What do you think the right answer is?
John : I'm guessing its -6n+15
Jennifer : Whoa! How did you get that?!
John : Well, i think the letter 'n' means that the number is by itself, so i add them up together. and that's what i got.
Jennifer : Nice try, but i got -4n+15 because the letter 'n' means its a positive.
John : Wait, i don't get it. Hows it a positive?!
Jennifer : Well, i was taught that it was a positive because it had no signs in front of it, so it makes it a positive. Also when you add a negative number and a positive number you have to have 'zero pairs' so the answer is 1-5=-4n.
John : So if it does not have a sign, its a positive right a way?
Jennifer : Yes.
John : Jennifer, i have another question.
Jennifer, Okay what is it?
John : I really don't get this one. 2+4(3n+8)
John : But, according to my calculations i think the answer is 12n+10.
Jennifer : Not really, what you gotta' do is multiply.
John : What do you have to multiply?
Jennifer : You first have to multiply 4 by 3n. Remember what for the signs. Then 4 by 8.
John : And then?
Jennifer : So, whats the answer to 4 times 8?
John : Hm .. 32.
Jennifer : Right on. Your first steps would look something like this ' 4x3n ' ' 4x8 ' then just bring it down to 2. So all you really gotta do is add it up and see what you get. +2 to 32 = 34.
I guess that's.
John : Thanks for the help !
Adding integers
Adding numbers together
It's really easy.
(Free Verse) - Subtracting
When you subtract a positive integer into a negative integer you get something wild .. like a tiger. His eyes are like fire, the number gets higher and higher like people singing in a choir. Sometimes i know its hard looking at the board and confuse, and you refuse and when the teachers asks you whats the answers is, you lose. You choke and say ' I don't know ' and Harbeck says ' Why won't you just show ' He said ' ok , let me do it my way, to get a positive integer, you gotta' be patient and think, not blink and just to sink from the bottom to the top, and when you finally realize the answer then that's when you stop. All you have to do is add the opposite, and when you add the opposite then that's it.
(Free Verse) Partitive
Partitive's easy, like taking candy from a baby. All you really have to do is divide and decide by dragging em' numbers into a group, and count how many times it'll get in.
(Tanka) Qoutative Division
Quotative Division
come on let's give it a try
just ..
it might be really hard
but but come on give it a try.
(Free Verse) Multiplying Integers
multiplying integers
our class created 2 rules to fallow
look at your equation.
how many negative integers do you have there
Mark it on a piece of paper
tell me ,
do you have a negative amount of integers ?
well if you do your sum must always be a negative
negative one or negative 102
or is it an even amount ?
well don't have a doubt
when you have an even amount ,
your sum must be a positive.
Great Big Book of Algebra, Chapter2.
John : Jennifer! wait up. Long time no talk man. Where have you been these days?
Jennifer : Just busy, since it's the holidays. The real question is, where have you been these days? ( They both laughed. )
John : Haha, pretty much the same. I'm just here to pick out some stuff for the family.
Jennifer : Oh i see, well I'm here alone, what about you?
John : Yeah, same here. My wife's at work, and the kids are at basketball practice.
Jennifer : Oh, they play basketball? Same with my daughter.
John : Oh really, well i gotta' get going. Need a ride?
Jennifer : Sure, thanks.
( In the car .. )
John : So where you off to now?
Jennifer : Well, i really have nothing to do at this moment.
John : Well, uhm. wanna' go out to eat? My treat ( He smiled)
Jennifer : Haha, sure.
John : Hey, i have these math questions that been bugging me for awhile, think you can help?
Jennifer : Yeah, no problem.
John : One of the questions is n+3-5n+12.
Jennifer : What do you think the right answer is?
John : I'm guessing its -6n+15
Jennifer : Whoa! How did you get that?!
John : Well, i think the letter 'n' means that the number is by itself, so i add them up together. and that's what i got.
Jennifer : Nice try, but i got -4n+15 because the letter 'n' means its a positive.
John : Wait, i don't get it. Hows it a positive?!
Jennifer : Well, i was taught that it was a positive because it had no signs in front of it, so it makes it a positive. Also when you add a negative number and a positive number you have to have 'zero pairs' so the answer is 1-5=-4n.
John : So if it does not have a sign, its a positive right a way?
Jennifer : Yes.
John : Jennifer, i have another question.
Jennifer, Okay what is it?
John : I really don't get this one. 2+4(3n+8)
John : But, according to my calculations i think the answer is 12n+10.
Jennifer : Not really, what you gotta' do is multiply.
John : What do you have to multiply?
Jennifer : You first have to multiply 4 by 3n. Remember what for the signs. Then 4 by 8.
John : And then?
Jennifer : So, whats the answer to 4 times 8?
John : Hm .. 32.
Jennifer : Right on. Your first steps would look something like this ' 4x3n ' ' 4x8 ' then just bring it down to 2. So all you really gotta do is add it up and see what you get. +2 to 32 = 34.
I guess that's.
John : Thanks for the help !
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