Showing posts with label algetile. Show all posts
Showing posts with label algetile. Show all posts

The Great Big Book Of Algebra

Thursday, December 4, 2008
Chapter One
Haiku- Adding Integers
Adding

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

Return to list of postsHaiku - Subtracting Integers

Subtract

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

Free Verse - Ron's Rule

Ron's Rule

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

Free verse - Partitive Division

Partitive

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

Cinquan - Quotative Division
Quoative

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


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


Chapter 3 : One step Equation Solving

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









Additive:

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



Subtractive:


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






Multiplicative:



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










Divisive:

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

Chapter 4: Algetile Video

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


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

The Great Big Book Of Algebra

Diamante - Adding Integers:

Adding integers .
added , combined.
combining , increasing , adding
plus , add , more , gain
decreasing , reducing , diminishing
subtracted , reduced
Subtracting integers.

Haiku - Subtracting Integers:

Don't ever subtract
impossible to subtract
Add the opposite

Free Verse - Ron's Rule:

Ron's rule works so good.
it helps you in tests just like it should.
you learn a lot just with this rule.
if you use it right you'll feel so cool.
It is a very smart rule to use.
once you use it you just cant refuse

Free Verse - Quotative:

This division is easy as pie,
All you have to do divide!
Divide by putting a number into a group
and see how much times it will fit!

Haiku - Partative:

Divide, share, give out
It's just like a deck of cards
Evenly sharing

Chapter 2: Combining Like Terms and Distributive Property

Leah: Hey Bella! Can you help me with my math homework?
Bella: Sure thing, which question do you need help on?
Leah: Number 5. The question was n+3-5n+12
Bella: Oh, that was easy!
Leah: No not really, I tried it but I'm not sure if I got it right or not
Bella: Well what was your answer?
Leah: My answer turned out to be -6n+15
Bella: What?! My answer was -4n+15
Leah: Oh, I must have made a mistake. I will change it.
Bella: NO, you must know how to fix your mistakes! You see, you circle the two like terms which was n and -5n. After you must put it in order, -5n+n+3+12.
Leah: Yeah, I did put it in order ...
Bella: I know, but I'm not done yet. When you tried to solve -5n+n, you thought that it was -6n. You see, the term n by itself is one term. So, you must solve it like an integer question.
Leah: Ohh, I see now. So my mistake was that I added the n to-5 which made my answer -6n.
Bella: That's correct! You see, combining like terms!
Leah: Thanks Bella.
Bella: No problem! You see, if I never explained this to you then you would of not learn anything
Leah: Yes I know. Thanks again Bella, But I have another homework question I couldn't figure out.
Bella: No problem what question was it?
Leah: Number10. The question was 2 + 4(3n+8). And my answer was 12n + 10.
Bella: Oh! That question.
Leah: Yes that question. And this time, please explain to me what I did wrong.
Bella: Well the answer that I got was 12n+34. The thing that you did wrong was that you didnt multiply the 4 and 8 together. When ever theres brackets, you must multiply both numbers to the same number outside of the bracket.
Leah: Ohh, I get it now.
Bella: No problem! All you have to do is the distibutive property that we did in class the other day.
Leah: That was the thing that I was missing! Thanks alot Bella!
Bella: No problem! Just come to me next time if you have trouble on the other homework that we will have in future.
Leah: I will keep that in mind.

Here is my xtranormal movie.

Chapter 3: One Step Equation Solving
FIRST RULE before doing ANY algebraic equations. You MUST:
Isolate
Cancel Opposite
Balance
Verify

ADDITIVE:

So this is an additive equation. To solve this equation you must Isolate the variable by adding the constants opposite. So in this algebraic equation, the constant is 3 so you have to add its opposite which is -3. What you do to the left side, you must do to the right side to balance it out. So its 5-3. Now on the left side, +3 and -3 make zero so you left with N the variable. Then you must solve the right side, 5-3 = 2. The answer would be N = 2. After you know what the variable equals, then you must verify which is just replacing the N with what it equals.

Now using algebra tiles is pretty much the same thing but you must draw. The variable is the long yellow block ( sorry, I couldn't find any green or red markers/pencil crayons in my house) and the coloured square blocks are the constants. I started off with one yellow block = n, 3 blue squares = 3, then the answer which is 5 blue squares. Then you must Isolate the variable like always by adding the constants opposite. Then you Balance it out. So the answer is N=2. Then you Verify.

SUBTRACTIVE:When doing subtractive equations, you do the same steps when doing additive equations but just opposite. Also goes with the algebra tiles. So the equation is n-4=7. First you Isolate the variable so its n-4+4=7. Now Balance it out , 7+4. Now -4 and +4 equals zero and 7+4 = 11. So, n = 11. Now verify. First re-write the equation, n-4=7. Then what does n equal? 11. So 11-4=7. Then its 7=7. Whenever you verify, you must get the same answer as what the equation equals to.

MULTIPLICATIVE:

The way I like to solve this multiplicative equations is using algebra tiles. First I drew 2 variables and 6 constants. Then you must divide it evenly like a deck of cards. After you divide it evenly like a deck of cards, then you must circle each group. So n = 3. Then you verify. 2n=6. 2(3)=6. 6=6.

DIVISIVE:
I solved this equation by drawing the question. I drew one variable, and wrote down the fraction line and numbers. After I drew everything, I multiplied the answer which is 3 by 4. This is how you isolate when you are working on a divisive equation. So I multipied the 3 and 4 together and got 12. N = 12. Now you verify by re-writing the equation and replacing the n by what it equals to.


Chapter 4: Algetile Video
Here's mine and Sutchais Algetile Video. ENJOY! :)

The Great Big Book Of Algebra













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 Book of Algebra

CHAPTER 1: Integer Poetry

Haiku- ADDING

Adding integers
Positive numbers are easy
Plus numbers are fun

Diamante- SUBTRACT

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

Free Verse- Partitive

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

Free Verse- Quotative

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

Free Verse- Ron's Rule

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

CHAPTER 2: Combining like terms and Distributive Property

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

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

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


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

ADDITION:



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



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

MULTIPLYING:


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

DIVISION:



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

CHAPTER 4: Algetile Video

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

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!

The Great Big Book of Algebra

Tuesday, December 2, 2008
Chapter one: Integer Poetry!

Adding Integers Poem (A Diamante Poem)


Adding Integers

Adding

Easy, Fun to do,

Thinking, increasing, gaining,

Always trying your hardest,

receiving, completing, finishing..


Combining

Free Verse: Subtracting


Subtracting!

When you sutbract,

you must attack the opposite like terms.

if you do not,

you will be caught,

in a big mess returned!

Multipication Rule "Ron's Rule" (Free Verse)


Ron's Rule
Multiplying could be rough,
Need help? No problem, I'm tough!
Look for you're barn doors,
And flip to the blue side..

Open up each barn, boy these doors are wide!

Look and look until you find,

something worth a persons' mind.

Found it yet? Silly you! The answer is right infront of you!

When you multiply an even number,

with something ridiculous like a positive number,
the product is always an positive number!

When you multiply an odd number,
with something silly like a negative number,

the product is always positive!

Now go and run, and use this knowledge,
lets hope it'll make you smarter than an olive!
(Myth idea 'stolen' from Nicky D's Poem.)


Free Verse: Partitive Division

Partitive Division
Negative seven and positive four it read,

I thought really really really hard in my head.
What do you do, when you have these signs?

Do you do the grouping, or do the sharing kinds?

Oh, I know! The answer popped into my mind.

How could I forget? Negative and Postive you must always do,

something special like partitive pictures, who really knew?
You draw negative seven,
boy, that was like heaven!

You draw positive four groups,

Wow, that was like shooting hoops!
You share and share, like a deck of cards,
Until you have no more, that wasn't very hard!
Now you know, that negative and positive you must always do,

Something special like partitive pictures, who REALLY knew?!


Cinquain: Quotative Division

Quotative Division
Quotative

Negative, positive,
Drawing, writing, thinking,

Sketching and searching for pictures,

Grouping
Chapter 2: Combining Like Terms and Distributive Property


Script:
Apple - Hey Pear, how's it going?
Pear - Oh, hi Apple. Almost didn't see you there! Anyway, It's good It's good. I'm currently working on this math problem my sister gave me.. it kind of well, struck me. i'm pretty clueless right now!
Apple - Oh? Well, let's here the question! Maybe I can help.
Pear - n+3-5n+12. Think you can answer that? Look at those.. letters! I have no idea why their there..
Apple - Oh, those are variables! We use them in Alegbra to represent a number. Don't worry, Alegbra's easy. Now, tell me. What do you think the answer is?
Pear - Hm.. -6n+15.
Apple - Let's see if you're right. You group the same terms together.. which are n and 5n. And 3 and 12. Make sure you bring the operation signs with your numbers! Next we put them together.. hm, -5n+n+12+3. -5n+n=-4n, and 12+3=15! So the answer is -4n+15.
Pear -.. Oh. But I got -6n+15? Isn't that right?
Apple - Oh! No, no. Nice try there Pear, but you always, always have to look at the operation sign! Remember I told you take the operation signs with your numbers. I think you forgot the 5n was negative and added it.
Pear - Oh, thanks Apple!
Apple - Anytime, having anymore troubles?
Pear - .. I'm so sorry Apple to bother you! But I'm really not believing you when you say that Alegbra's easy. It's pretty hard to me!
Apple - Oh, don't worry about it Pear. You'll get it soon. I promise. Now, what's the next question?
Pear - 2+4(3n+8).
Apple - Oh! That's easy. For this question, we have to Distribute the Property. Here's what I mean.. well, wait. What do you think the answer is?
Pear - 12n+10.
Apple - Let's see if you're right! You first have to multiply the number that is touching the bracket with the closest number. So, for this question.. the multiplying number would be 4. And the first number TO multiply is 3n. 4x3n=12n. Then we multiply again, using 4.. but this time multiplying TO 8. So, 4x8=32. The next thing we do, so put the like terms together. 12n+32+2. The last step is to add the numbers that can... well, be added! so, 32+2=34. The answer is 12n+34.
Pear - Wow Apple, you're so smart! I think I'm starting to get it! I know why my answer was wrong! I forgot to multiply 4 with the number 8. I just added 8 and 2 together, which equalled 10. That's how I my answer, 12n+10. Whoops!
Apple - See, I told you Pear! Algebra's easy.. to everyone who tries.

(Changed some things in the movie to make script shorter)



Harbeck! I can't add Pear's mistake, my script is too long. So, I'll just
put Pear's mistake here.

Q:2 + 4(3n+8)
P'sA: 12n + 10

(4)3n=12n
(4)8=32
2+32+12n
34+12n

Oh, and I know I spelled ALGEBRA wrong. I just can't fix it, because
I already published. That's what I get for publishing without rereading.

Chapter 3: One Step Equation Solving
Here are some Additive, Subtractive, Multipicative and Divisive Equations!

RULES:
Isolate
Cancel Opposite

Balance

Verify

Additive:

I solved this equation by drawing out the question. I drew one variable, which is the long green block, 3 constants, which are the red square blocks, and 5 constants which are the red square blocks after the equal sign. To isolate the variable, I added the opposite, which was -3 to +3. I was left with n. I added -3 to the answer (6). 3 postives and 3 negatives cancelled out each other and I was left with 2. N (variable) = 2 (constant). All I had to do was verify, which is just replacing the variable with the answer. On the other side, I did the same thing, but not using pictures. I isolated, cancelled the opposite, balanced and verified.

Subtractive:

I solved this equation by drawing out the question. I drew one variable, which isthe long green blook, 4 negative constants, which are the red square blocks, and 7 constants which are the red square blocks after the equals sign. To isolate the variable, I added the opposite, which was +4 to -4. I was left with n. I added +4 to the answer 7, which gave me 10. N (variable) = 10 (constant). All I had to do was verify, which is just replacing the variable with the answer. On the other side, I did the same thing, but not using pictures. I isolated, cancelled the opposite, balanced and verified.


Multipicative:

I solved this equation by drawing out the question. I drew two variables and 6 constants. The first thing I had to do was equally distribute the contants (6) with the 2 variable (2n). I drew the 1 variable, and put 3 constants beside it. I did the same with the remaining. I soon found out that one variable equals 3 positive contants. Then I circled each group. All I had to do was verify, which is just replacing the variable with the answer. On the other side, I did the same thing, but not using pictures. I isolated, cancelled the opposite, balanced and verified.



Divisive:


I solved this equation by drawing the question. I drew one variable, and wrote down the dividing sign and numbers. After I was finished, I took the number four and multipied it with 4 and the answer, 3. This is the way you isolate. Then I took 3 and four, which had a bracket touching.. which meant they are multipying. I multipied then together and got 12. N(variable) = 12(constant). All I had to do was verify, which is just replacing the variable with the answer. On the other side, I did the same thing, but not using pictures. I isolated, cancelled the opposite, balanced and verified.



Chapter 4: Algetile Video

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