The Great Big Book of Algebra

Thursday, December 4, 2008
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.


video

6 comments:

  1. sutchaisana 8-41 said...

    Woaaah! I love your picture poem! Did it take a lot of time? Because it sure looks like it. Well done Arielle! ;)

    December 4, 2008 at 11:44 PM  

  2. sayyouknow 8-41 said...

    thanks sutchai and yeah it did take a lot of time !

    December 5, 2008 at 3:20 PM  

  3. peachy 8-41 said...

    Arielle! I love your picture poem! It's so orignial, 'cause your the first person I've seen do it so far! Good job! <3

    December 5, 2008 at 5:46 PM  

  4. sayyouknow 8-41 said...

    Thank you Peachy ! (:

    December 5, 2008 at 7:28 PM  

  5. gelli 8-41 said...

    GOOD JOB ARIELLE! (: WOOW, I love your pictures! They were done so neatly that I can understand how you solved each equation. You also did a good job on explaining everything else! (; The movie that you have done with Carrie was very good and well done! Keep up the good work sayyouknow and good job once again! (;

    January 20, 2009 at 5:31 PM  

  6. peachy 8-41 said...

    I ALWAYS ALWAYS ALWAYS love your work! It's so creative and well .. thought off! Geez Arielle, share some wisdom with other people! :p. Anyway, I love your starter poem. It's so creative and colorful! You could have done something simple, but noooo, you're just too great for that :). I love your pictures for chapter 3! It's so well organized and neat. Keep it up always Arielle!

    February 11, 2009 at 7:11 PM  

Post a Comment