David: I'm trying to figure out these algebra questions I think I`ve got the answers.
Julia: Well then, let me check.
David: Fine, the first question is n+3-5n+12. My answer is -6n+15.
Julia: Well, I think your wrong, I think the answer is -4n+15
David: Really! How`d you get that?
Julia: Well first you have to use the distributive property like this: n+3-5n+12, n-5n+3+12, then you combine like terms like this: n-5n+3+12, -4n+15
David: Thanks Julia. The second question is: 2 + 4(3n+8), I got 12n + 10.
Julia: Well David, I guess you didn't listen in math class, because I think you're wrong again.
David: What do you mean? Show me.
Julia: Well first you do the you combine like terms like this 2+4(3n+8), 6(3n+8) then you get rid of the brackets by multiplying both the terms inside the brackets by six so you get 18n+48.
David: Wow thanks Julia, oh and nice uniform Julia.
CHAPTER 2 Lara-Hello Jackie ! How's it going ? Jackie-I'm doing good ! And You ? Lara-Oh man ! I had soo much fun at school today ! Jackie-Really? Why was it soo fun ? Lara-Because we learned about Algebra ! Didn't you take that in school today ? Jackie-..I don't know.. I don't pay attention in school.. Lara-Wow.. Im disappointed.. Lara-Well, anyways.. I should teach you , it is quite fun to do ! Jackie- Okay.. fine! But I hope it is fun .. Lara- Oh don't worry it will ! Lara-Okay, our first question is n+3-5n+12 ! Jackie-Okay let me think... hhmmm.. Jackie-well.. I think it is 6n+15 ! Lara- Haha , nice try Jackie , you were very close ! You see , -5 + n = -4 and 3 + 12 =15 .. so the answer would be -4n+15 ! Jackie- oh .. wow you really know your math huh ? Lara-yes I do ! Lara-Okay let's do another question ! Jackie-Fine, fine ! Lara-alright, what is 2+4(3n+8)? Jackie- uhm .. Isn't 12n+10 ? Lara-Nice try.. again. Jackie-*sigh* Lara- What you would do is ,4 times 3n is 12n. Then 4 times 8 is 32. 12 and 32,bring 2+ which is now 2+12n+32, then add 2+32 is 34. So now the question is, 12n+34 ! Jackie- WOW ! Very good Lara ! Thanks alot for helping me out.. Next math class I'll sure pay attenton thanks to you !
CHAPTER 3:
Here are my pictures to explain how to solve additive, subtractive, multiplicative, and divisive algebra questions !
Easy thing to do, Just combine the two numbers, to get the total
Subtracting Integers (Tanka)
Subtracting is fake, It's all just a myth you see, so don't be a fool, All you got to do is add... THE OPPOSITE SEE!?
Partitive (Picture Poem)
Partitive are for questions with a pair of positive numbers or a negative and positive situation, All you got to do is take a sneak peak, look at the second number, and make that number into that many groups. It may sound hard at first, and confusing but it's easy as pie! Now all you need to do is ask..."How many are in each group" and... that's your answer! Now...don't get confused!
Quotative (Free Verse...)
Quotatives are like partitives but different in a way, Now let's take the time and ask what's 6 divided by 2? By making a picture, we'll be sure to get it right. But I'll warn you once the Quotatives are only used for positive pairs and negative pairs. Make sure how to use them or else, you'll make a big mistake you see. Now let's start by drawing 6 squares, and tell me what's 2 groups of 6? You ponder for a second and looked at me in the eye, You had this big grin telling me you know, so I'll ask you again "What's 2 groups of 6?" Then you answered it's 3 It's 3! So happily. I smiled back and said, "That's right That's right!" but lets double check to make sure it's right for it might be wrong. So let's use MULTIPLICATIVE INVERSE to double check, so I asked "What's 3x2? You knew the answer right away and shouted "It's 6!" Now we know what's 6 divided by 2 and learned how to use Quotatives too, so let's rap this up by saying "That wasn't that hard I suppose..."
Rule For Multiplying Integers (Free Verse...)
Multiplying integers, multiplying integers,what could that be? adding is one thing and subtracting is another. Let's think for a moment and wonder what it is, I waited and waited for an answer to appear, So there's no point in waiting for the answer to come, so it's time to take action and figure it out. I looked side to side, front to back, and high and low, but the answer nowhere to be found! Just when I was about to give up, a strong gust of wind Blew, but how could that be, when I'm inside a room! I closed my eyes hoping it's a dream but it's reality to me! I'll counted to 10 to see what will happen, but as soon as I said 1 the wind had cease, wondering what happened I opened my eyes to see on the grounda message for you and me. I read it out load so that everyone could hear, "OH dear friend who is in trouble, I will give you an answer to what you look for so you better pay attention to what I have to say, Multiplying integers is as easy as it can be, If only... You know the rules to it though. I know you don't know so I'll tell you now. Multiplying an even number of negative integers the answer will be positive! It goes for the same as multiplying an odd number of negative integers the answer will be odd. So I hope you wrote this down so you wouldn't forget this lesson I taught you to beginning to end. Remember that... Negatives make a difference to all!"
Chapter 2:
Combining like terms and the Distributive Property Extranormal
Kai: ...This is hard...
Shiki: What is?
Kai: My math homework.
Shiki: Oh really? Let me see it. I might be able to understand it.
Kai: Oh, okay. Here.
Shiki: Which one?
Kai: This one. Question 66, n+3-5n+12...It's about combining like terms... I don't really know what that is. Algebra is sure confusing...
Shiki: You dummy...This is so simple! The answer is -6n+15. It's so obvious!
Kai: Oh, thank-
???: WAIT!
Kai and Shiki: ???
???: That's wrong! That's wrong! Your the idiot around here! So stupid! What a dumb mistake!
Shiki: ...
Kai: Uh... Who are you?
???: Eh? Me? Well... My name is Airi! Nice to mee-
Shiki: Who are you calling an idiot! Go away you old hag! This is none of your business.
Airi: WHO ARE YOU CALLING AN OLD HAG! I'm only 15 you know! You're hurting my feelings...
Shiki: But it doesn't look like it... You're lying aren't you?
Airi: ME lying?!?! I never lie...except that time...and that time too.. and-
Shiki: See you ARE a liar.
Airi: No I'm-
The people around them: SSSHHHHHH!!! Airi: heh, heh, heh...Sorry... Kai: Um...Airi... You said that Shiki was wrong before...How come? Airi: Well, first of all he- Shiki: I am not wrong! Look, in n+3-5n+12, n+-5n=-6n and 3+12=15. So the answer is -6n+15. See, I'm the one with the brains around here. Unlike someone... Airi: Ha! You're wrong! It goes like this! The question is n+3-5n+12, right? So then n+-5n=4n because n represents 1n. So a positive 1n then take away a negative 5n equals negative 4n. See? Then 3+12=15 so the answer is -4n+15. Kai: I see! Airi: Who has the brains now, I-DI-OT! Shiki: ...I'm not convinced...yet... Kai: Come on, just admit that you're wrong... Shiki: Not in a million years! Who side are you on anyway?!?! Kai: S...sides? But aren't you guys helping me with my home- Airi: So you STILL think I'm an idiot?!?! Even though I explained it...geez you're head is thicker then I thought... Shiki: Shut up! Airi: You're the one who should shut up! Kai: Ummm...guys- Shiki: Me? Why me? Airi: Why? Because you're an idiot. You're going to make your friend an idiot if you keep talking! Kai: Ummm...Guys? Shiki: WHY you... Kai: GUYS! Airi: ... Shiki: W...What is it? Kai: I'm stuck on a question...it's about distributive property... The question is... 2+4(3n+8)... Do you guys know the answer? Airi: ... Shiki: ... Airi: ! I know the answer! Shiki: I know it, too! It's easy! really! Airi: You think so? Then you go first. Let's hope you go the right answer THIS time... Shiki: Yeah, I WILL get it this time... Airi: Yeah you wish. Shiki: Well the question this time is 2+4(3n+8) and this time it has those annoying brackets... When you have brackets you multiply... So you take the number in front of the bracket's which is 4 , so you multiply 4 by 3n. 4x3n=12n, right? Then you multiply 4 by 8. 4x8=32. So the answer would be 12n+32. Kai: Wow! That's a good explanation! How about you Airi? Airi: ... I got a different answer... did I do something wrong? Shiki: Well of course you did, idiot. Airi: Shut up! I don't need your sympathy! Kai: So what did you get? Airi: I got 12n + 10 as an answer. In 2+4(3n+8), I multiplied 4 and 3n, which equals 12n. Then I added 2 and 8 to get 10... Shiki: Ah ha! You forgot to multiply 8 by 4! That was your mistake! Who is the idiot now? Airi: Shut up! Shut up! Shut up! Kai: All done! Thanks for help- Shiki: Now we're even, but it's obvious that I'm the smart one... Airi: Who said! Kai: You guys sure get along pretty well with each other... Airi and Shiki: Not with him/her! Not in a million years! Kai: (sigh) Well it looks like it... Don't you think so too?
SORRY! I didn't know that you could only do 2 people only... I was kind of lazy to change the script so please don't get mix up that the people change. Their short clips so I hope you enjoy it.
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.
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.
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.
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
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.
Quotative division is how many groups of this is in this
When I think of that i would want to take off my hat
When there are negatives I change them into positives
I do this because it is easier and more squeezier
Quotative Division is not as hard as Partitive Divison
Because you don't have to explain a lot. You can take the drawings and cook them in a pot.
The "Rule for Multiplying" integers
Free Verse Poetry
Once upon a time, there lived a shoe
That shoe liked to eat tofu
One day,when he was sitting on his porch
He saw a sock with a torch
Shoe approached the thing
And the sock was about to sing
It was singing,"When you multiply an even amount of negative integers the product is positive."
Shoe understood what he said and asked for the other rule instead
It sang,"When you multiply an odd amount of negative integers the product is negative"
Shoe was amazed by these rules, he decided that he would teach fools
Shoe taught many things about these rules that sock sang
Then there was a BANG!
Shoe was dead, sock had killed him!
Chapter 2:Combining like terms and the Distributive Property
Hobo:Excuse me, do you have any spare change for me?
Cory:No, I'm sorry man, I only have enough for my lunch.
Hobo:Its alright. So you going to school?
Cory:Yes, I am on my way to get educated. Why are you asking?
Hobo:Oh, I was just wondering. Don't ruin your life because you will become like me.
Cory:Oh I see. Do you want to learn some math? I have 2 questions for you.
Hobo: Sure, what is the first question?
Cory:It is n+3-5n+12. All you need to do is simplify it for me please.
Hobo:Oh ok then. Lets see, if I combine the like terms and do this and that I would get -6n+15 as my answer. I'm sure of it.
Cory:I'm sorry dude but the answer you came up with is wrong. See you have to combine the like terms which are n and -5n. The answer should be -4n. Next, you should combine 3 and 12 and you would get the sum of 15. When you do all of this thinking, you should get -4n+15 as the simplified form of n+3-5n+12.
Hobo:Wow, you are smart kid! You, showed me up for sure man. Thanks for teaching me how to do this question. Now, what is the other question, hopefully I get this one right.
Cory: Thank you and your very welcome. I'm glad you learned a lot form just that one question. The next question is 2+4(3n+8). This question has to do with distributive property. Good luck!
Hobo:Hmm, this is a hard question but I am thinking the answer is 12n+10. Please tell me I got this question right.
Cory:I'm sorry to burst your bubble again dude. First, you need to find the distributive property which is 4(3n+8). When you multiply 4 and 3n you get 12n and if you multiply 4 and 8 you get 32. Now, the question should be 2+12n+32. Next you combine the like terms which in this case is 2 and 32. The sum should be 34. The simplified form of the question should be 12n+34. You feeling me right now?
Hobo: Oooooh, so I needed to multiply 8 and 4 too. That's what I forgot to do.
Cory:You are exactly right buddy boy.
Hobo: I learned a lot today. Thanks kid.
Cory:Anytime buddy. Hey, I just found a 100 dollar bill in my back pocket. Here you go, you can have it.
Hobo:Thank you very much kid.
Cory:No problem. I'm going to get on my way now. Good bye. Hobo:Have a nice day!
Chapter 3: One Step Equation solving
Adding Question
In an addition question you have to add the opposite which in this case is -3. When you do this, the two opposites will cancel each other out. Then you find the value of N.
Subtraction Question
This subtraction question has the same explanation as the adding question.
Multiplication Question
This multiplication question may look hard but it is very easy. You divide the n's by how many n's are there and you do the same to the answer. Then you should find the value of n.
Division Question
This question is hard to explain and when I find out how to explain it i will update on this.
Adding Integers Negatives, and positives Equaling a sum
Cinquain; Subtracting Integers.
Subtracting Take away, Minus Decreasing, reducing, diminishing Subtraction is a myth? Integers
Haiku; Quotative Division.
Many groups of things How many groups can you find? Find the answer now..
Cinquain; Partitive Division.
Partitive Parts, groups Equaling, into, including How many are in each group? Division
Free verse; The Rule of Multiplying Integers.
Jack be nimble, Jack be quick Jack jumped over an integer stick When he got to the other side He went on a multiplication ride He kept his cool And remembered the rule
That he learned in school.
Chapter Two:Combining like terms and the Distributive Property
Script; Bill: Hey Alice Alice: Hey Bill Bill: What have you been up to lately? You seem a little down. Are you okay? Alice: Not much. Just busy with school work and No I'm not okay. I'm having some problems with my math homework...and it seems hard. Bill: Oh. Well, I'm pretty good at math...here, I will help you. Alice: Well sure, it's algebra homework combining like terms and distributive property. I only have a couple questions I am not understanding. See here, look the question is n+3-5n+12. Bill: Yes. It does seem a bit hard. Bill: Okay, well, first of all what was the answer you got? Alice: I got -6+15 but I am kind of confused with it all. Bill: Okay, how did you get that answer? Alice: Well, I combined like terms because there is more then one variable and constant and that just means there is more then one letter and integer. So, I put the variables together, the "n" and the "-5n" and then I just added them together which equaled "-6n". Then I put the constants together which is the +3 and +12 and that equaled 15. Alice: And a variable by itself means one...am I right? Bill: Well, yes sure, but I got something a bit different from what you got. My answer is -4n+15. Alice: Wait, that doesn't make sense at all to me! How did you get that answer? Bill: Well, okay here, I will explain. Bill: First, I circled the variables which are "n" and -5n and then I circled the constants which are +3 and +12. Bill: Next I grouped the variables and then the constants then I took "n" and subtracted -5n which equaled -4n, then I took 3 and 12 and added them together which gave me 15, so, that's how I got the answer. Alice: OH! I guess I get it now but I still have one more question and it looks harder then the first. Bill: Okay, what is the question then? Alice: It is 2+4(3n+8) and I got 12n+10 for the answer. Bill: Well, no but good try. You have to multiply 4 by 3n which us 12n and then you multiply 4 by 8 which is 32. Bill: Then you would bring down the +2 and add it to 32. Alice: So, the answer is 12+34? Bill: Yes!! Alice: Oh! I get it now! Thank you! Bill: Anytime. I am glad I had the chance to help you understand.
Here is my xtranormal movie..
Chapter Three;
Here are my pictures to explain how to solve additive, subtractive, multiplicative, and divisive algebra questions.
Haiku – Adding You add negatives And positives too The answer is sum
Tanka – Subtracting Although we subtract We never really ‘subtract’ Know the difference Subtracting is quite easy If you know how to subtract
Cinquain – Partitive Division Calculate Quick, simple Dividing, splitting evenly, sharing One way of dividing Equal groups
Free Verse – Quotative Division This is about quotative division It all comes down to the right decision First, know should how to group It’s not hard, don’t send in the troops!
Free Verse – Multiplying Rules You want to know the multiplying rule? I guess you don’t know, you fool. I learned the rule because I go to school! You mainly need to know a few main facts So now you know you can relax!
Chapter Two:Combining Like Terms and The Distributive Property
Script:
Podgy: Hello! Cappie: Hi. Who are you?
Podgy: Well, I'm Podgy, and I'm a student! I want to learn about destructive properties, and mining bike germs!
Cappie: Destructive properties and miming germs? Don't you mean distributive property, and Combining like terms?
Podgy: Oh, yes. Those things... Say... You wouldn't happen to know about distributive property and combining like terms .. would you?
Cappie: Oh, yes. I do. Would you like to learn, Podge meister?
Podgy: Oh, ah. Sure. I mean. I wouldn't mind... I mean. Learning about those things woudn't be too bad... I mean... If you don't mind teaching ... me, Podgy... That is. Hehe...
Cappie: Calm down Podge meister. I'll teach you, in one condition, though.
Podgy: So, uh. Cappie... Dude, guy, mister, sir... I mean, teacher... Sea foo... You know, they call the teachers Sea Foo in Japan that... I think it'd be okay to call you that.
Cappie:Quiet Down! The condition is for you to stop being a blubbering fool, you've been rambling all this time! So, there! I'll start off teaching you about combining like terms. It is more simple..
Podgy: OKAY THEN! Combining like terms it is!
Cappie: I have a practice question. n+3-5n+12 . First, look at the question. n+3-5n+12. Now, identify the constants (integers that won't change), and variables (letters). n +3 -5n +12 So now, you need to group them together. Or "combine like terms"! Once you know that, you know all you need to know about combining like terms!
Podgy: OK! I'll start with the variables... There are n and -5n. So... If I add another n to it, it should be -6n. Now for the consanants. All positives, woot woot! 3 and 12, make 15. So, is it -6n+15 ?
Cappie: No, it is not. Think about the steps! You made a little error in your thinking process. Remember that when you add a positive to a negative, the digit decreases. Think about a number line, that should help you a lot. Podgy: Gee, thanks Cappie! I'll try it once more! Starting off with the variables... n, and -5n ... should be -4n! And, and the 3 and the 12 still make 15, so it must be -4n+15! Aren't I right, sir?
Cappie: Right!
Podgy: Hot dog, am I ever glad! What do you know about Distributive Property?
Cappie: Well, here's an example to work with. 2 + 4(3n+8). You need to multiply the 4 with 3n, and +8, because 4 is touching the brackets. Once you have done that, combine the like terms.
Podgy: Oh, okay! Hmm. 4 multiplied by 3n is 12n. 8 and 2 equals 10 ... So, we add them together. Combine like terms! So the answer must be 12n+10!
Cappie: Podge meister, I'm quite proud of you. But your answer is incorrect. Your flaw was that you forgot to multiply the 4 by 8. Try again.
Podgy: Ok, then. 4 multiplied by 3n is 12n. 4 multiplied by 8 is 32. So, I'm left with 12n+32+2. Combine like terms! 32+4=34. So the answer must be12n+34! I get it! Thanks so much for teaching me Cappie, sir!
Cappie: Oh gosh, you're making me blush. Call me Cappie!
Podgy: Ok! Cappie it is!
Here is my XTRANORMAL movie, Combining Like Terms and Distributive Property (Part One)
Here is my XTRANORMAL movie, Combining Like Terms and Distributive Property (Part Two)
Chapter Three:One Step Equation Solving
Above is a picture example of how to do addition algebra. A very important part of algebra is knowing I.C.O.B.V, which is an acronym for...
I - Isolate the variable by C - Cancelling using the O - Opposite B - Balance V - Verify
Now, when confronted with a question such as the one provided, your objective is to isolate the variable. In doing so, you need to cancel out, using the opposite. But, you need to remember that you need to keep things balanced; so what to you do one side, you do to the other side. Once you understand this, you merely simplify to N equals whatever N equals. In this case (referring to the example above) N=3. So, in the example above, N+3=5 your objective is to isolate the variable. To do that, you need to cancel using oppposites. Remember to keep it balanced; what you do on one side, you do to the other side. N+3-3=5-3 Simplify that. N=2. Now that tells you what N equals. In order to get full marks, you need to verify. Just copy out the question, and substitute N with what N equals. N+3=5 2+3=5 5=5 Understand it?
In many ways, subtracting and adding are alike, like how you solve algebra questions. Above is an example of a subtracting algebra question. Like adding, you need to isolate the variable by cancelling out using opposites. Do not forget to balance by doing what you do to one side, do to the other side, and verify. The question is N-5=1. Isolate by cancelling out, using the opposite. Don't forget to balance out! N-5+5=1+5 Once you have that, you need to simplify it. N=6 Once the question has been simplified, you need to verify. N-5=1 6-5=1 1=1 Easy-peasy.
Now multiplicative type is a bit different, but no harder, no easier. Above is an example: 2N=10. What you need to do still has to do with I.C.O.B.V. Isolate, cancel, oppositve, balance, verify. Ask yourself, what is the opposite of multiplying? Well, the answer is as simple as the question itself! Division, of course! So, to isolate N, (or, to get it by itself) you divide 2N by 2. But since you've divided 2 on one side, you must do the same to the otherside, leaving you with N=5. Since you know what N equals, you must verify.
2N=10 2(5)=10 10=10
If you don't understand something, feel free to comment! Or perhaps I've made an error, and you'd like to point it out, please comment all the same! :)
As I've said, adding and subtracting are in someways similar, but they're also opposite. Well, since multiplying and dividing are opposite they're also similar is some ways. They're alike because they use eachother to do algebra. Above is an example of how to do dividing type algebra. N = 6 -- 2
With a question like this you need to isolate the variable by cancelling using the opposite. Don't forget to balance it out! (2) N = 6(2) ------ 2
Now simplify.
N=12
Now that it is simplified, verify!
N = 6 -- 2
12 = 6 -- 2
6=6
Please feel free to comment on this!
Chapter Four:Algetiles Movie
(I'm not exactly sure what the title and tags are... So, I guessed)
Here is Giselle's, Nikki's, and my movie for Adding, Subtracting, Multiplying, and Dividing with Algebra Tiles.
