Showing posts with label onestep. Show all posts
Showing posts with label onestep. Show all posts

The Great Big Book of Algebra

Friday, December 5, 2008
-Chapter 1

Adding Integers; Cinquain
Adding
Easy, Simple
Combining, increasing, solving
The answer is called a sum
Addition
Subtracting Integers; Tanka
No such thing as subtracting
You end up with a minus
You invert the sign to plus
Last you add its opposite

Partitive Division; Free Verse
It's staring you right in the face
Partitive, partitive , partitive
And you dont know what to do
Just follow along with me and learn
It's simple you see,
You need to share pieces equally
You make some groups
You make some tiles
Hand them out one by one
Until you're left with nothing, nada, none
So really it's just sharing equally (:

Quotative; Haiku
Circle groups needed
In the group of tiles
See how many groups

Ron's Rule; Free verse
Ron's rule as we call it, hard?
Not at all. Easy is much better!
All you have to do is listen
Multiplying an odd number of integers
Will give you a negative answer
Multiplying an even number of integers
Will give you a postive answer
Thanks for listening!


Chapter 2 Combining like terms and the Distributive Property

SCRIPT:
Lucy: Hey, how are you doing with the math work?
Vince: I'm doing pretty good! What about yourself?
Lucy: Well actually I was wondering if you could help me with this one algebraic expression... 'n+3-5n+12'.
Vince: Hm, it's not that hard you see. All you have to do is organize the terms, you circle like terms then regroup all of it. Then you simplify.
Lucy: I think the answer is '-6n+15', am I correct?
Vince: You circled 'n' and '-5n'... You regrouped, so then the expression should be 'n-5n+3+12'. Then simplified it should be '4n+15'. There's where you went wrong! Instead of adding a positive 'n' to '-5n' you added a negative 'n', that's how you got '-6n+15'!
Lucy: Oh really?! Wow, I never realized that I have made that mistake, and the answer should be '-4n+15'? ... Thanks for helping me, if you need some help I'll be there!

*A few minutes after working in silence.

Vince: Hey, since you said you'd help me if I needed it, could you help me with just this question... '2+4(3n+8)'. I came up with the answer '12n+10'.
Lucy: This uses the distributed property: '4(3n+8)' and you use bring down 2. You have to identify your terms inside the brackets, which are '3n' and 8. Then the next step you multiply '3n' by the number 4, and 8 by 4. Then if it's properly simplified the question should now read: '2+12n+32'.
Vince: That's what I wrong! I see now, continue please.
Lucy: You then circle the like terms 2 and 32. Reorganize the expression, then combine like terms! Then answer should be '12n+32'.
Vince: Oh! Thanks for helping me solve the question!
Lucy: You're welcome!
Vince: Hey, wait!
Lucy: Yes, what?
Vince: Do you want to go to lunch together?
Lucy: Sure, of course. Thanks!

The day passes..
THE END!



Chapter 3: One Step Equation Solving

Additive Equation: The first thing I did was isolate the variable by adding it's opposite; (-4). The next thing I did was to balance the equation by doing the same thing you did to one side to the other. The equation should now look like this: -4+4+n=6-4. Then I cancel out the zero pairs! Now you should be left with n=2. Verify is the next thing you do, replacing the variable with 2.














Subtractive Equation: Isolate the variable by adding the opposite of the constant; (-4). Balance it out doing the same thing to the other side: x-4+4=8. Cancel out, and you should be left with x=12. Don't forget to verify.













Multiplicitive Equation: Isolate the variable, divide by 2 on both sides so they're balanced! Then all your left with: n=8. Now all you do is verify, you replace 'n' with 8: 2(8)=16. Does that work? YEAH! 16=16









Divisive Equation: The first thing you have to do is to isolate the variable just like all the previous ones. What's the opposite of dividing by 5? Multiplying by 5! Then don't forget to balance the equation out, by doing the same thing to the other side. Zero pairs should be gone now! The last step is to verify, to make sure it's correct. 2=2























Chapter 4: Algetile Video


The Great Big Book of Algebra

Thursday, December 4, 2008
Chapter One:

Cinquain:Adding
Adding
Easy, hard
Thinking, solving, trying
Really easy to learn
Addition
Haiku:Subtracting
There's no subtracting
Always add it's opposite
Now you have to add

Free Verse:Ron's Rule

Ron's rule is not a pain in the butt,
Just listen to what I have to say, and you'll have a shortcut!
Even number of negative integers equals positive.
Odd number of negative integers equals negative.
See! It isn't all that bad,
I hope you didn't get all that mad.
Use Ron's rule and you'll never fail,
Use this rule, and don't bail!

Tanka:Quotative

Simply use pictures
Use algebra tiles for this
Draw amount needed
Circle number of groups told
How many circled groups seen?

Free Verse:Partitive

Want to learn how to divide using partitive?
Well, I'm here to tell you, so don't worry, you'll live.
For partitive, you need to make groups.
This isn't one of those "oops".
Draw the amount of algebra tiles needed.
This is what I did, and I succeeded.
Share them like a deck of cards.
And no, I don't mean billiards.
How many algebra tiles in each group?
Now that you have your answer, you can go shoot some hoops.

Chapter Two: Combining Like Terms and the
Distributive Property

Here's my script:
Matthew: Hi, Auntie Donna!
Auntie Donna: Hi Matthew!
Matthew: I have a math test tomorrow and I was wondering if you could test me with a couple of algebra questions.
Auntie Donna: Oh, sure. Hmm... Let me think of one... How about n+3-5n+12.
Matthew: Hmm... I think the answer is -6n+15
Auntie Donna: Your answer is incorrect, Matthew. Let's simply go back and take a look at how to do this question, and what you did wrong while solving it.
Matthew: Oh, shucks! Well, alright...
Auntie Donna: Well, first you must re-group the numbers to make it easier to solve. Therefore it should be, n-5n+3+12.Then combine like terms and solve it. Which means combine all the terms that are the same. Now, it should be, -4n+15. Now you have simplified it.
Matthew: Well, what did I do, to get my incorrect answer?
Auntie Donna: Hmm... Well, if we go back and look at it, you added -n and -5n instead of subtracting -5n from n.
Matthew: Oh, I see I see... Can you give me one more question?
Auntie Donna: Sure. How about, 2+4(3n+8).
Matthew: Okay, I'll try it. Uh... I came up with 12n+10.
Auntie Donna: Once again, you're incorrect. Let's go back and do step by step again.
Matthew: Aww... okay.
Auntie Donna: Okay, so with this question, there is distributive property going on. You can underline it so that you know where it happens. So, put the 2 first because you know that it's going to stay because it's not part of the distributive property. Now, take the number beside the bracket and multiply the two terms inside the brackets. It should now be, 2+12n+32. Now re-group it. It should be, 12n+2+32. Combine the like terms like last time. It should be, 12n+34. And that should be your simplified expression.
Matthew: Oh, right. Well, explain to me what I did wrong.
Auntie Donna: Oh yeah. Well, when you first looked at the question, instead of multiplying both terms in the bracket, you just multiplied the first one, and added the last two integers. Which is why you got the answer 12n+10.
Matthew: Ooooohhh. I get it now. It really is easy now that you've explained it all. Thanks Auntie Donna! I hope I do well on my math test.
Auntie Donna: Oh, I'm sure you will, but just remember to go step by step. It's okay to use lots of paper because we recycle!

Here is my math video on xtranormal.com :)

Chapter 3: One Step Equation Solving
Additive: First, I isolated the variable. I isolated the variable by adding its opposite, which would be -2. Since I added -2 to the left side, I must balance it out, so I have to add it to the right side. After that, I crossed out +2 and -2, because they make zero pairs, and zero pairs are worth nothing. Then, I got n=6-2. So I solved 6-2, which led me to n=4. Finally, I verified by plugging in what n equals where n is supposed to go.
Subtractive: First, I isolated the variable by adding +3 to the left side, then I also did it on the other side to balance it out. Next, I crossed out -3 and +3 because they are zero pairs. Next I solved 7+3. Then I got n=10. Finally, I verified by plugging in what n equals where n is supposed to go.Multiplicitave: First, I isolated the variable by dividing 3n by 3 on the left side, and I also did it on the right side to balance it out. Then I crossed out 3 and 3 because they cancel eachother out. Next, I solved 6/3. Then I got n=2. Finally, I verified by plugging in what n equals where n is supposed to go.


ATTENTION PLEASE ! : On, my title of the picture there, I meant to put DIVISIVE, not DIVISITIVE. Thank you. :)

Divisive: First, I isolated the variable by multiplying n by 2. Then I got 2n/2. I also did it on the other side to balance it out. Then I crossed out the 2 and the 2, because they cancel eachother out. Then I solved 4(2) and I got n=8. Finally, I verifiedby plugging in the what n equals where n is supposed to go.

Chapter Four:


The Great Big Book of Algebra

Chapter 1: Math Poetry

Picture poem: Adding
add
add
add
add
positive integers combined equals positive
positive add negative is same as subtract
add
add
add
add

Haiku: Subtracting
Add the opposite
It's better to change the sign
Change it to adding

Free verse: Partitive
To explain partitive,
you must stay on task.
If you ever get confused,
questions will be asked.

To explain partitive,
sharing must be done.
You have to make groups,
and divide the numbers one by one.

To explain partitive,
we're almost done you see!
Just remember sharing is important,
so share with you and me!

Tanka: Quotative
Sometimes it is hard,
sometimes it is easy!
If you learn how to,
you will agree completely!
What goes into what, that's all!

Free Verse: Ron's Rule
Multiplying
odd number of negative integers,
will make a negative product.
Multiplying

even number of negative integers,
will make a positive product.
Multiplying
using Ron's rule,
will always help you!

Chapter 2: Combining Like Terms and Distributive Property


Bear: Teddy! I need your help, can you help me?
Teddy: Sure Bear! What do you need help on?
Bear: Algebra obviously!
Teddy: Okay then.... What question?
Bear: Hm.. n+3-5n+12. I think the answer is is -6n+15.. But how do I draw how I got it?
Teddy: WRONG! The answer should be -4n + 15.
Bear: WHAT?!
Teddy: You get it by combining the like terms, n and -5n are like terms because they include n!
Teddy: Whenever you combine the like terms together, always bring the sign in front of it too.
Teddy: After you add n and -5n together, it's -4n because the n is a positive and not a negative.
Bear: Oh... What about the other numbers?
Teddy:Add 3 and 12 together, you just add together like normal numbers. The answer should be 15.
Bear: Haha oh I get it! Thanks Teddy. I need you to help me with on more question though!
Teddy: Sure, no problem. What is it?
Bear: 2 + 4(3n+8) Is the answer 12n+10? Because that's what I got!
Teddy: Sorry but that's not the answer.
Bear: Ugh.. Okay so what is the answer?
Teddy: When there's a bracket and a number beside it, the number that's touching the bracket is the multiplier of the numbers inside the brackets.
Bear: So then it's 3n multiplied by 4 and 8 multiplied by 4, right?
Teddy: Yup!
Bear: So then.. 3n times 4 is 12n.. and 8 times 4 is 32...
Bear: You add them all together .. 2+4+12n+32 ... which is...
Teddy: Hold on! That's wrong, you don't add the 4 because the 4 was already used as a multiplier. If a number has already been used, then you can't use it twice.
Bear: Oh.. okay, then it's 2+12n+32?
Teddy: Remember to combine like terms to make it look nicer.
Bear: Haha okay. Is the answer 12n+34 then? Because 2+32 is 34 and 12n has no like term.
Teddy: You got it!
Bear: Thank you so much Teddy! I owe you one!
Teddy: It's okay! Anything to help a friend, right?
Bear: Thanks Teddy! I'll see you in school tomorrow, okay?
Teddy: Okay!
Bear: Bye!

THE END :)
by the way: I kind of changed my script on the movie because the script was too long for it to all fit in one movie and I was lazy to make a continuation? So.. sorry if my movie is horrible and the camera angles are WRONG WRONG WRONG!



Chapter 3: One Step Equation Solving
Additive:


Subtractive:


Multiplicative:

Divisive:

Chapter 4:

^ HAHHA, sorry. My voice sounds so screwed up in the whole video. And I have a major lisp -_- Oh jee, and props to MAEDDAH LIMUACO, TRACY OCHOA! :) I hope you enjoyed our algebra tiles movie. It was fun making it. And sorry for the NOISY background people. HAHA, kidding you guys (y)

The Great Big Book Of Algebra

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 One : Integer Poetry


Picture Poem - Adding Integers




Tanka - Subtracting Integers

There's no subtracting
When it comes to integers
It doesn't exist
Add the opposites instead
Remember never subtract



Cinquain - Quotative Division

Quotative
Positive, negative
splitting, dividing, thinking
Dividing a number into groups
Integers



Haiku - Partitive Division

Easy division
It is sharing what you have
Grouping evenly



Free Verse - Ron's Rule

Ron's rule
says multiplying an odd amount of negative integers.
Ron's rule
says you will have a negative product.
Ron's rule
says multiplying an even amount of positive integers.
Ron's rule
says you will have a positive product.
Ron's rule
was just taught to us last November.
Ron's rule
is something you should always remember.


Chapter Two: Combining Like Terms and the Distributive Property

Script:
Detective Brooks: Hello there, I'm Detective Brooks.
Lorie: Hello, I'm Lorie.
Detective Brooks: I see you're doing some kind of paper work.
Lorie: Yes, it's my homework! Have you heard of it?
Detective Brooks: Of course I have. What kind of homework is it?
Lorie: Combining like terms and distributive property.
Detective Brooks: Oh, I see. I was really good at that when I was in school.
Lorie: Really. *sarcastically*
Detective Brooks: I was, I probably still am. I can solve anything, well almost anything. What's the question?
Lorie: Sure you are. The question is n+3-5n+12.
Detective Brooks: Why don't you try and solve it, then I'll check if you're right.
Lorie: Alright then.
Lorie: My answer is -6+15.
Detective Brooks: Well it looks to me that you're wrong!
Lorie: That's impossible!
Detective Brooks: It's possible.
Lorie: If you're so good at this, why don't you tell me where I went wrong?
Detective Brooks: I will.
Detective Brooks: First combine like terms and remember to look at the operation sign. n-5n=-4 and 3+12=15. Therefore, the answer is -4+15. Do you see where you went wrong?
Lorie: Yes, now I see my mistake. I combined 5n and n, I've forgotten 5n was negative.
Detective Brooks: Now you understand, try and solve this question. 2 + 4(3n+8), what do you think the answer is?
Lorie: I think it might be 12n+10.
Detective Brooks: I'm sorry, but your answer is incorrect. First multiply the number closest to the bracket, which is 4. Multiply it to the first number in between the brackets, 3n. 4x3n=12n. Now multiply 4 to the second number, 8. 4x8=32. The question should now be 2+12n+32, all I have to do is combine like terms. 2+32=34, the question simplified is 12n+34!
Lorie: Oh, I'll try to remember that! I'm beginning to understand algebra.
Detective Brooks: That's good, do you know where you made your mistake?
Lorie: Yes, I didn't multiply 4 and 8 together. I just multiplied 4 to 3n and got 12n. After, I added 2 and 8, then I came up with 12n+10.
Detective Brooks: Don't worry, you'll get better and solve it like a mystery!
Lorie: Thank you for your help Detective Brooks, I really needed it! You're a really great detective!
Detective Brooks: Thank you Lorie, you're not so bad yourself!




Chapter Three: One Step Equation Solving

Additive:
The additive equation that I am going to explain how to solve is n+3=5. The first step is to isolate the variable. Then you add the opposite and cancel them out because they are zero pairs. Second, you balance it out by doing the same thing to the other side. So, your left with n=2. So after solving the equation, you have to verify! The first thing you do is rewrite the equation. Second, you replace the variable with the answer you got. The last step is to write down 5=5 to show that you are done.





Subtractive:
The subtractive equation that I am going to explain how to solve is 5-n=3. The first step is to isolate the variable. Second, you add the opposite, which is -5 to +5. Then you cancel them out because they are zero pairs. Third, you balance it out by doing the same thing to the other. So, you subtract 3 from negative 5 and now you are left with n= -2. Then you have to verify! You first need to rewrite the equation. Second, you replace the variable with the answer you got. Last but not least you write down 3=3 to finish it off!






Multiplicative:
The equation that I would explain how to solve is 5n=10. The first step is to isolate the variable. Then you add the opposite by dividing 5 by 5. Second, you need to balance it out by doing the same thing to the other side. So, you are left with the answer n=2 Next you need to verify! You first need to rewrite the equation. Second, you replace the variable with the answer you got which is 5 (2) = 10. Last but not least you write down 10=10 to finish it off!





Divisive:
The equation that I would explain how to solve is n/2=4. The first step is to isolate the variable. Then you add the opposite by dividing 2 by 2. Second, you balance it out by doing the same thing to the other side. Third, you need to verify! You first need to rewrite the equation. Second, you replace the variable with the answer you got. Last but not least you write down 4=4 to finish it off.


Chapter Four: Algetile Video

This is a video Carrie and I made on how to solve an additive equation, a subtractive equation, a multiplicative equation, and a divisive equation.


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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