Showing posts with label chapter 4. Show all posts
Showing posts with label chapter 4. Show all posts

The Great Big Book of Algebra

Friday, December 5, 2008
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.



The Great Big Book of Algebra

Thursday, December 4, 2008
Chapter 1: Integer Poetry

Adding Integers
Cinquain
Add
Combined, Increased
Plusing, Gaining
Has a plus sign
Sum
Subtracting Integers
Picture
Four minus 4=0
Five minus 5=0
(It is shaped like a minus sign)

Partitive Division
Haiku
Partitive divide
Answers to give a quotient
You divide numbers

Quotative Division
Free Verse Poetry

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.
Chapter 4




The Great Big Book of Algebra

Wednesday, December 3, 2008
CHAPTER 1 INTEGER POETRY
Addition-Haiku
Adding Integers,
Plus, increase, greater than, add,
Adding is so fun!

Subtracting Integers-Free Verse Poetry
Subtracting integers is just mad...
In the world of integers,
We never subtract, we add!
Adding integers is so fun!
Lets get to it! And get the job done,

Subtracting Integers does not exist,
But there's a twist
If you do subtract, you must add instead,
Adding is very much easy like
watching tv or sleeping in bed!

Partitive Division- Tanka Poem
You give to everyone,
Called sharing division too,
Share your yummy cookies,
Give until you have none left,
Remember to share cookies!!

Quotative Division-Haiku
Groups of Integers,
Group them in equal parts now,
It is so easy.

Rule of Multiplying Integers-Free Verse Poem
In the world of integers
There is only 2 rules
When you multiply an even amount of negative integers the product is always positive
Isn't that just cool!

Other rule is when you multiply an odd number of negative integers
the product is always negative
With our rules multiplying integers is a breeze
Multiplying Integers is easy like 1,2,3!
Easy as eating cheese!

CHAPTER 2
Xtranormal
Combining like terms and the Distributive Property
Billy Bob Jones: Hey Mike! I need your help with my homework.
Mike Hawk Jones: Sure let me see.
Billy Bob Jones: My last question asks what is combining like terms.
Mike Hawk Jones: Oh that's easy. It's like going shopping, you group the apples with the apples and the oranges with the oranges. But this time you group the variables(letters) with the constants(numbers).
Billy Bob Jones: Oh! I get it, so if there's 2a+1a+2+1. I just combine them so it's 3a+3?
Mike Hawk Jones: Yep just like that. It's like simplifying your answer so it's more easier to solve.
Billy Bob Jones: Thanks Mike!
Mike Hawk Jones: No problem Billy! Glad to help.

Questions:
Cosmo: I need help with homework! Is N+3-5N+12 is -6N+15??
Wonda: That's not right, lets go over this question.
Cosmo: Ok... How do we do this?
Wonda: First lets change the way we look at it. N-5N+3+12 is much better for your eyes. Now we have to simplify.
Cosmo: How do we simplify Wonda?
Wonda: We add the variables with the constants so there's only 1 variable and 1 constant left.
Cosmo: Ok N-5N is -4N and +3+12 is +15 so the answer is -4n+15 Wonda?
Wonda: Yep! Way to go Cosmo.
Cosmo: Thanks Wonda(:

Patrick: Hey Spongebob how's it going?
Spongebob Squarepants: I have homework from boarding school...
Patrick: What's your homework?
Spongebob: A question is 2+4(3N+8) I think it's dealing with combining like terms and the distributive property. I think the answer is 12N+10.
Patrick: No that's wrong! I think the answer is 12N+34 because we are dealing with the distributive property so we multiply the 4 with 3n+8 which is 12N+34. Then we add the 2 so we get 2+12N+32. Now we combine like terms so 2+32 is 34 and there is only 1 variable and 1 constant now. So our answer is 12N+34.
Spongebob: Oh! I'm sooooooo stupid, I should of known we had to do that. Thanks Patrick and how did you get so smart at this?
Patrick: Hahaha I guessed
Spongebob: Now that's my best friend right there!


Chapter 3!
1 Step Equations



When your doing additive. You just have to balance each side, so at the end you have n=? or in this case (2). Or in other words you have to isolate the variable by canceling using the opposite. When your done finding what the variable is, you need to do one last step, verify. Verify is very easy, you just substitute to check. You write down the question again and replace the N with your number. You will know if its balanced by verifying.
When your doing Subtractive, its just the same as Additive. First you isolate the variable by canceling using the opposite. Then you'll find what your variable is and then you just verify to check if its right. You rewrite the question and replace your N with your number. At then end, you should know if its balanced or not.
Multiplicative now. Its just the same but this time your multiplying. First you need to isolate by canceling using the opposite, don't forget to balance. After you need to verify(substitute to check). You rewrite the questions and replace N with your number.

Division now. Division is just the same as Multiplicative but instead of dividing to cancel, you need to multiply to cancel. First isolate the variable by canceling using the opposite. After Verify but rewriting your answer and replacing the N with your number. By verifying you can check if your answer is right!


Chapter 4!



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