Chapter One:
Integer Poetry
Adding Integers- Cinquain
Adding
Sum or total
combine,unit or coalesce
numbers are joined together
plus
Subtracting Integers- Haiku
Taking out numbers
decreasing and lowering
never subtract, add
Partitive Division-free verse poetry
fun,educational,source,strategy,method
only to be used in negative and positive
positive and positive
a pattern applied to algebra
a part of arithmetic
for everyday use
Quotative Division- free verse poetry
Quotative Division
more for the same signs
negative and negative
or positive and positive
The Rule of multiplying integers- free verse poetry
To get the product of integers
simply follow this rule
numbers with same signs
get positive product,
while opposites
a negative product
Integer Poetry
Adding Integers- Cinquain
Adding
Sum or total
combine,unit or coalesce
numbers are joined together
plus
Subtracting Integers- Haiku
Taking out numbers
decreasing and lowering
never subtract, add
Partitive Division-free verse poetry
fun,educational,source,strategy,method
only to be used in negative and positive
positive and positive
a pattern applied to algebra
a part of arithmetic
for everyday use
Quotative Division- free verse poetry
Quotative Division
more for the same signs
negative and negative
or positive and positive
The Rule of multiplying integers- free verse poetry
To get the product of integers
simply follow this rule
numbers with same signs
get positive product,
while opposites
a negative product
Chapter 2:
Female: Hello! Mr.Math, are you there?
Male: Yeahp!
Female: I need help! My sister is asking me to help her in her algebra homework.
And I don't want to get mistaken.
It is about algebra.
Female: Her homework is about algebra, combining like terms to be exact.
Male: You mean to simplify an expression or an equation using addition and subtraction of the coefficient?
Female: Exactly!
Male: Oh, well, I'm sure I could help you on that. That was my favorite subject in High School.
Female: Really? That's Cool!
Male: Okay, What is your fist question?
Male: The key to using and understanding the method of Combining Like
Terms is to understand like terms and be able to identify when a
pair of terms is a pair of like terms..
Female: How do I know those like terms?
Male: Example : 45y,8y,-25y, y are like terms because each of them consists of a single variable y. Another is:10, 0,-4,-20, is antoher set of like terms because they are all constants, that is without variable.
Female: Ah, I see. Then after I determine the like terms, what do i do?
Male: Well, you perform the mathematical operation like addition and subtraction involve in each of the variables. Remember that you can only combine like terms.
Female: Okay, Now what's next?
Male: Also remember to follow the rules on how to add, subtract, multiply, and divide integers. That's very important.
Female: Oh, yeah I still remember how to perform the mathematical operation in integers,
Male: That's good! Now you know how to combine like terms Do you have another question?
Female: Oh, that's all for now. Thank you very much. That is very clear.
Male: Well you're welcome. Come again, if you need any of my help on any mathematical questions.
CONTINUATION..
(Combining like terms and Distributive Property)
Female: Hi, Mr. Mathinik?
Male: Hello dear, let me guess why you're here. You're here because you have another
mathematical question, right?
Female: You guessed it right!! Well you know, ever since you taught me about combining like terms I got very interested in algebra.
Male: That's good!
Female: Now I want to show you an equation, which I answered. Please tell me if I'm right or wrong.
Male: Okay, what equation?
Female: n + 3 - 5n + 12. My answer is negative 6n plus 15. Am I right?
Male: Hmm, Let's see. As I've told you have to combine like terms first. So, n minus 5n, plus 12 plus 3. If we combine n minus 5n .This is equal to negative four n and then 12 plus 3 is 15. So,the final answer should be negative 4n plus 15.
Female: Isn't it that n minus 5 n is negative six?
Male: Well, no. Remember in subtracting integers you have to change the sign of the subtrahend then proceed to addition. So that should be n plus negative 5 n which is equal to negative four n. They have different signs so then you subtract. and copy the sign of the number with the bigger value.
Female: Oops! My mistake! I must've forgotten.
Male: That's fine, at least I reminded you. Next time do not forget because if you have one small error,everything goes wrong.
Female: Oh, Thank you. I have another one. I hope now I'm right.
Male: Okay, you're welcome. Tell me your equation.
Female: It's 2+4( 3 n + 8), my answer s 12n plus 10.
Male: Hmm, let's see. Did you know that has a Distributive property of multiplication? Did you apply it?
Female: Oh, yeah!
Male: Good! Let's see how you did.
Male: First you distribute four to all the quantities inside the bracket. So, the equation will be 2+4x3n+4x8; This will become 2+12n+32. Now you can combine like terms. Here, there is only one variable n and 2 constants. So it is now 12n+2+32. What do you think should be the final answer?
Female: Is it 12n+34?
Male: That's right. Is it the same as your answer?
Female: Awww,What happened to my addition?
Male: Well, you just need practice!
Female: Yeah, I'll need it and I also need you.
Male: No problem, at least I'm happy to see that you're interested to learn.
Female: Oh, yeah, you inspired me. You're making it so simple for me. Though, I have to have more practice.
Male: I'm flattered.Hahaha.Yes, you need more practice.
Female: Thank you very much. I hope you don't get tired of me asking for help all the time.
Male: No,no,no,no,no,no,no. I don't mind at all. It's my pleasure.
Female: Okay, thank you very much! Bye now! Have a good afternoon.
Male: You too, missy.
Female: Hello! Mr.Math, are you there?
Male: Yeahp!
Female: I need help! My sister is asking me to help her in her algebra homework.
And I don't want to get mistaken.
It is about algebra.
Female: Her homework is about algebra, combining like terms to be exact.
Male: You mean to simplify an expression or an equation using addition and subtraction of the coefficient?
Female: Exactly!
Male: Oh, well, I'm sure I could help you on that. That was my favorite subject in High School.
Female: Really? That's Cool!
Male: Okay, What is your fist question?
Male: The key to using and understanding the method of Combining Like
Terms is to understand like terms and be able to identify when a
pair of terms is a pair of like terms..
Female: How do I know those like terms?
Male: Example : 45y,8y,-25y, y are like terms because each of them consists of a single variable y. Another is:10, 0,-4,-20, is antoher set of like terms because they are all constants, that is without variable.
Female: Ah, I see. Then after I determine the like terms, what do i do?
Male: Well, you perform the mathematical operation like addition and subtraction involve in each of the variables. Remember that you can only combine like terms.
Female: Okay, Now what's next?
Male: Also remember to follow the rules on how to add, subtract, multiply, and divide integers. That's very important.
Female: Oh, yeah I still remember how to perform the mathematical operation in integers,
Male: That's good! Now you know how to combine like terms Do you have another question?
Female: Oh, that's all for now. Thank you very much. That is very clear.
Male: Well you're welcome. Come again, if you need any of my help on any mathematical questions.
CONTINUATION..
(Combining like terms and Distributive Property)
Female: Hi, Mr. Mathinik?
Male: Hello dear, let me guess why you're here. You're here because you have another
mathematical question, right?
Female: You guessed it right!! Well you know, ever since you taught me about combining like terms I got very interested in algebra.
Male: That's good!
Female: Now I want to show you an equation, which I answered. Please tell me if I'm right or wrong.
Male: Okay, what equation?
Female: n + 3 - 5n + 12. My answer is negative 6n plus 15. Am I right?
Male: Hmm, Let's see. As I've told you have to combine like terms first. So, n minus 5n, plus 12 plus 3. If we combine n minus 5n .This is equal to negative four n and then 12 plus 3 is 15. So,the final answer should be negative 4n plus 15.
Female: Isn't it that n minus 5 n is negative six?
Male: Well, no. Remember in subtracting integers you have to change the sign of the subtrahend then proceed to addition. So that should be n plus negative 5 n which is equal to negative four n. They have different signs so then you subtract. and copy the sign of the number with the bigger value.
Female: Oops! My mistake! I must've forgotten.
Male: That's fine, at least I reminded you. Next time do not forget because if you have one small error,everything goes wrong.
Female: Oh, Thank you. I have another one. I hope now I'm right.
Male: Okay, you're welcome. Tell me your equation.
Female: It's 2+4( 3 n + 8), my answer s 12n plus 10.
Male: Hmm, let's see. Did you know that has a Distributive property of multiplication? Did you apply it?
Female: Oh, yeah!
Male: Good! Let's see how you did.
Male: First you distribute four to all the quantities inside the bracket. So, the equation will be 2+4x3n+4x8; This will become 2+12n+32. Now you can combine like terms. Here, there is only one variable n and 2 constants. So it is now 12n+2+32. What do you think should be the final answer?
Female: Is it 12n+34?
Male: That's right. Is it the same as your answer?
Female: Awww,What happened to my addition?
Male: Well, you just need practice!
Female: Yeah, I'll need it and I also need you.
Male: No problem, at least I'm happy to see that you're interested to learn.
Female: Oh, yeah, you inspired me. You're making it so simple for me. Though, I have to have more practice.
Male: I'm flattered.Hahaha.Yes, you need more practice.
Female: Thank you very much. I hope you don't get tired of me asking for help all the time.
Male: No,no,no,no,no,no,no. I don't mind at all. It's my pleasure.
Female: Okay, thank you very much! Bye now! Have a good afternoon.
Male: You too, missy.
My videos:
Link
Combining like terms
math from Eunice Anne on Vimeo.
CHAPTER 4:
