Showing posts with label chapter4. Show all posts
Showing posts with label chapter4. Show all posts

The Great Big Book of Algebra

Friday, December 5, 2008
Adding:Tanka
Increasing Numbers
Plusing and Minusing
getting the total
onto the next equation
Now you start your next question!

Subtraction:Haiku
There is no Subtact
It does not exsist at all
But there is adding!

Partitive: Free Verse Poetry
Partitive Division
Dividing Equaly
How many Equals
Circling groups
Finding how many you have!

Quotative:Hakiu
How many you have now
Tell me what is Quotative?
Why it is Integers!

Rule of Multiplying: Free Verse Poetry
A positive integer.....
with a Positive
Positive,Positive
You have 2 Positives
....and the product is Positive

Chapter2; The Great Big Book of Algebra(the script)
Hi my name is Aimie. Whats yours......?
My name1 is Scarlet.... I love it out here...you want to learn about combining like terms....we need the practice because we have a quiz coming up in math and I would like to have a friend. Im only .....ummmm 9....and how old are you..? We have to go to school together? What do you say. There is 2 questions on the quiz we could quiz eachother..........
S1ure I will be your friend......im only 9years old too.I will go to school with you no problem.Yeah....I guess I will study with you for the quiz.You give me one then I will. Ok what is the first question...?
Its N+3-35N+12. So try to figure this out.IT...
Ok.....2well I got -6n+15....YEAH ....I did it wait a minute did I......Yeah it cant be wrong because I didnt forget to multiply nothing.So how did I do..?
Ummmm..well. Im sorry to say but you got this wron1g....But dont start to argue with me I will help you......we will answer it the right way so you get it correct.OK......
WHAT- your saying all my hard work is wrong!!!!! Well I tried my best....so help me and Ill give you your question...and im sorry but I cant even get it right.
Okay well you have to arrange it take your n's t hen your positives and answer it. So your question is n+3-5n+12.And you almost got it. Its n-5n+3+12.Then -4n+15.There your done.Do you get it now..?
Wait....oh I remember what I did wrong now...thanks I get it I /think I will do well on the test now.....!!!!!YAY Thanks im so happy that ill give you a kiss...
Okay. Now it is your turn......the qustion is 2+4(3n+8)....ok that one is easy...make sure you watch me because I am alittle better at it then you...12n+10...nope thats wrong right ...so you multipy 4with 3 you get 12+ 4 multiply 8 you get 32....now ad the rest and your done .........12+32=44+2=46...wow we did it its finally over me ,you have solved them horray....Tehe.We will both do good on our Quiz tommorrow.....
ok that one is easy...make sure you watch me because I am alittle better at it then you...12n+10...nope thats wrong rig3ht ...so you multipy 4with 3 you get 12+ 4 multiply 8 you get 32....now ad the rest and your done .........12+32=44+2=46...wow we did it its finally over me ,you have solved them horray....Tehe.We will both do good on our Quiz tommorrow.....The end....







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The Great Big Book Of Algebra

Thursday, December 4, 2008












Chapter 1: Integer Poetry

Adding Integers (Haiku):
Increase the total
Two numbers becoming one
coming together

Subtracting Integers (Picture):
When you have money$$$$$$$
Don't even play with this math!
When you do, say buh-bye.........

Partitive Division (Free Verse):
Partitive Division
Used for dividing
In quadrant one or two
To use this technique
Just ask one simple question
That I think your math teacher should know
If he doesn't and you come to me
I'll scream in your ear and say
Look at your barn doors
Good grief

Quotative Division (Diamante):
Quotative
Fun, simple
Circling, counting, drawing
Learn, to pass school
Question, think, answer
Math, art
Division

Ron's Rule (Free Verse):
If your a negative integer
And you want to dance the multiplication pop
Learn from the master of cool
That created Ron's Rule
His name is unknown pogi
He might teach you for some candy
If you throw in a chocolatebar
You might be there listening
To him rapping out this old saying
You need to have an even number of negative integers
If you don't have that, you're just plain queer
When you do have that simple need
The crowd is sure to give
You a positive applause
Don't even think to go learn from
Pratt's Law or Mel's Rockpile
Cause there's only one
Multiplication pop

Chapter 2: Combining Like Terms and the Distributive Property


Fred: Hi

Jack: Sup
Fred: Are you ready for the math test tommorow?
Jack: I was born ready! Did you study?
Fred: No, I forgot to. I was out partying last night.
Jack: Billy Bob's party?
Fred: Yeah.
Jack: Well, I was studying last night. You should start studying now.
Fred: Of course, lets begin.
Jack: After an hour of studying. Are you ready now?
Fred: Yeah, I probably know everything already.
Jack: I bet you a dollar that you'll get this question wrong.
Fred: Sure, more money for me.
Jack: Okay, how about an algebra question?
Fred: Bring it on!
Jack: Hmmmm, n+3-5n+12. Simplify that question.
Fred: That's -6n+15.
Jack: Wrong! You just made one little mistake. This is how you answer it.
n+3-5n+12
n-5n+3+12
-4n+15
Fred: Oh, I get it now. I multiplied n with -5n, instead of adding them together.
Jack: Hooray, I get a dollar! Now, try this question 2+4(3n+8). Simpilfy it again.
Fred: Is it 12n+10?
Jack: You made the same type of mistake. This time you multipled the 2 with 3n, instead of
4 with 3n. I'll just explain the whole thing.
2+4(3n+8)
2+12n+32
34+12n
Fred: Yes! I finally understand! It's a miracle, I can simplify algebra things. I forgot what they
call those things.
Jack: So, your good for the test?
Fred: Yeah, you know how I roll. This is a very touching moment for me. I'm so lucky to
have a friend like you.
Jack: I love you to man!
Fred: Okay, don't go to far with it. HaHa!
Jack: Well I'm going to go home to get some sleep now.
Fred: Okay, peace out bro.
Jack: Peace.
Fred: At school, the next day, after the math test. Hey, Jack how was your math test?
Jack: I think I aced it. How was yours?
Fred: Same here, just because I studied yesturday.
Jack: Yeah, well I need to go to my next class now. See you at Joseph's party?
Fred: Yup, I'll see you there.
Jack: Bye

The video:


Chapter 3: One Step Equation Solving

First, isolate the variable(-10+10) and balance the other side(18-10), answer, then verify.
Isolate the variable(2n/2), balance the sides(10/2), answer, and verify.
Isolate the variable(n/2 times 2) Balance the scale(5 times 2), answer, verify.

Isolate the variable(10-10), balance ot the sides(5-10), multiply both sides by (-1), verify.
Chapter 4: Math Video One step








The Great Big Book of Algebra

Chapter 1: Integer Poetry

Adding Integers: Cinquain Poem

Adding
positive, negative
increasing, gaining, combining
the opposite of subtracting
Plus

Subtracting Integers: Diamonte Poem

Subtracting
different, easy
decreasing, reducing, diminishing
minus, take away-plus, increased
gaining, combining, increasing
addend, total
Adding


Partitive Division: Free Verse

"What's partitive division?" Whaat? You haven't hear it before? Well its a very simple way of showing your work and so this is how it goes... Just ask the simple question "How many equal parts are in ___ groups when you have negative/positive ___?" Think very, very hard but solve it really slow. So, then you draw the equal groups and share those positive or negative integers but make sure there equal, in equal parts of groups. Wasn't that easy?, of course it was! It's partitive division! So just remember these steps and you'll never be lost or confused!

Quotative Division: Tanka

What a simple way.
Using quotative to solve.
What goes into what?
Step by step, drawing is one.
Circle them to show your work!

The "Rule for Multiplying" or "Ron's Rule": Free Verse

Whenever your stuck on an integer question, just remember this rule and you'll be fine. When multiplied with two positive integers, remember the product is always positive. But once you multiplied a negative and positive together, uh oh, the product is now a negative. But wait, there's multiplying a negative and a another negative integer.. Guess what? The product is a positive all together! Now the last part is multiplying a positive and a negative.
Take a guess and look and see....... The product is negative! Lucky guess it may be! Now you have learned the rule of multiplying, always remember this lesson and take it everywhere you go!



Chapter 2: Combining like terms and the Distributive Property

Bella: "Hey Tina, how's it going?"
Tina: "It's been going great but I've been having trouble doing this algebra equation. I'm not sure if I did it right or wrong. Can you help me?"
Bella: "Of course I'll help you. Let's see what you did."
Tina: "Okay well our teacher gave us this equation to do, its n+3-5n+12. When I solved this equation, the answer I got was -6n+15. Did I do something wrong or is it right?"
Bella: "Well actually the real answer is 4n+15."
Tina: "Oh really? So, what did I do wrong to get -6n+15?"
Bella: "Okay well first of all, instead of adding a positive to "n" and "-5n" you added a negative to "n" and "-5n" and so that's how you got -6n+15.
Tina: "Oh, I get it now but can you go over the steps of solving this equation."
Bella: "Yeah, sure thing. Okay, first off you circle the like terms, like "n" and "-5n." Then, you regroup them and you show your two different "shopping bags." Like this: n-5n ( there's a shopping bag underneath each expression) +3+12 ( there's also a shopping bag underneath this one too.) After, you simplify it and the answer you will get is 4n+15. It's not that hard, just remember the steps.
Tina: "Oh now I get how to do it, thank you so much! If you need help, just count on me and I'll help you with anything."
Bella: " You're very welcome and you can also count on me when you need help, just call my name and I'll be right there."


Tina: "Bella, since you offered to help me, can you please tell me if I did this algebra equation wrong or right and if I did do it wrong, can you still help me do the steps right to finding the right answer?"
Bella: "Yes of course. What is the equation that you wish to talk about?"
Tina: "It is 2+4(3n+8). Once I solved this equation, the answer that I got was 12n+10. Am I right?"
Bella: "Well actually you did it wrong. The first thing you need to do is solve the brackets and the numbers beside them."
Tina: "Really? So, what do you do after?
Bella: " Okay, since +4 is touching the bracket, it gets multiplied by the numbers inside the brackets." So, what's +4 times 3n?"
Tina: " Um, is it +12n?"
Bella: "Correct! Good job Tina! So now we multiply +4 and +8. What do we get?
Tina: "We get +32!"
Bella: "Correct again! You're starting to get the hang of this. So after you have solved those in the brackets and the number beside it you bring down the answers that you've got, like +12n and +32 and you also bring down the 2."
Tina: "Okay, now what?"
Bella: "Well so far you got 2+12n+32. The next step is to group the like terms... 2+32 and then just +12n. Okay so let's solve. What do you get when you add 2+32?"
Tina: " You get +34 or 34!"
Bella: "Yes, that's right! now bring down +12n, since your not going to add anything to it. Now the answer you get is?"
Tina: "12n+34!"
Bella: "Good job! Your such a fast learner! So now, do you get how to solve algebra equations?"
Tina: "Thank you and yes now I know how to solve algebra equations because of your big help! Thank you so much! Just remember if you need help, I'm always here!"
Bella: "You're very welcome and if you need help too just call my name and I'll be there!"

Here's the video



Chapter 3: One Step Equation Solving

Here are four equations about additive, subtractive, multiplicative and divisive. I will be explaining how to solve each equation using the rules of I.C.B.V., which stands for isolate, cancel opposite, balance and verify.

Additive:
The first thing I would do to be able to solve this equation is by isolating the variable which is "n". Second, you would have to add the opposite, which is -7 to +7. You then cancel them out because they are zero pairs. After you are left with "n". Third, you need to balance it out by doing the same thing to the other side. So it would be like this.. 10-7=3. Then your left with the answer of n=3. The last step is to verify (substitute) and that is very important! You first need to rewrite the equation. Then you replace the variable to the answer you got which is n=3. So it would look like this 3+7=10. Then you would write down 10=10 to finish it off.

Subtractive:
The first thing to do to solve this subtractive equation is to isolate the variable. Second, you add the opposite, which is +2 to -2. You then cancel them out because they are zero pairs. Third, you need to balance it out by doing the same to the other side. So you add +2 to the answer 14 and you solve it. Then you are left with n=16, which is the answer. The last and important step of all is to verify! You first need to rewrite the equation. Second, you replace the variable with the answer you got, which is n=16. So it would look like this... 16-2=14. The last step is to write down 14=14 to show that you are done.

Multiplicative:
The first step for solving a multiplicative equation is to isolate the variable. You then add the opposite and cancel it by dividing 3 to 3. So you are not left with "n". Third, you balance it out by doing the same thing to the other side. So you solve 12/3 which equals to 4 and the answer your left with is n=4. The last and important step is to verify! You first need to rewrite the equation. Then you replace the variable with the answer you got, which is n=3. So it would look like this....3(4)=12. The last step is to write 12=12 to show that you are done.

Divisive:
The first thing you do to solve this equation is to isolate the variable. You then add the opposite by dividing 2 by 2. So now you are left with "n". Third, you balance it by doing the same thing to the other side. You multiply 5 by 2 and now your left with the answer 10. Now the last and important step of all is to verify! You first need to rewrite the equation. Second, you replace the variable with the answer you got, which is n=10. The last step is to write down 5=5 to show that you are now done.


Chapter 4: Algetile Video

During class, Mr.Harbeck told us to make a movie about four different equations. We had to explain how to solve each one by using algebra tiles. By the way, i'm sorry if the beginning starts of side ways and also the end when I am talking, I forgot that we had to video the whole thing landscaped. So, i'm sorry about that! Oh, and i'm also sorry if I explained it confusing!

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