### The Great big book of algebra by:Kara

Quotative Division- Tanka

Quotative Division

putting numbers into groups

here is an example

put two's into six equal groups

equal negatives or none

The "Rule for Multiplying", Mel's rock pile- picture (rule book)

Chapter#2-Combining like terms and the Distributive property

Spy:Hi

Ninja:Hi!

Spy:Can you answer a question? If you get it wrong .....I'll have to ask you another question!

Ninja:whats the question?

Spy:n+3-5n+12

(Long Pause)

Ninja:OK, I think I have the answer, you just have to simplify the question, right?

Spy:Right!

Ninja:OK, then the answer is -6n+15.

Spy:Um, that's not the correct answer.

Ninja:Yes it is!

Spy:Did you combine like terms?

Ninja:No

Spy:Then that's probably why you got the wrong answer! Here I'll show you.

First you have to put the variables together, for example the n, and the -5n.

Spy:Then you put the integers (constants) together, for example the 3, and the 12. Now your question should be like this. n-5n+3+12.

Ninja: Oh now I see what I did wrong.

Spy:Now you combine the n and the -5n, and that should give you -4n, because the n is positive, so you would be adding a positive to a negative 5.

Spy:Now you just add the 3 and the 12, and that should give you 15.

Ninja:Oh

Spy:Yeah, so you should get -4n+15.

Ninja:Now I get it! Thanks for the help

Spy:No problem, now I have to go..... save the world! But I will be back to ask that other math question!

Ninja:OK, bye!

Script#2

Spy:I'm back!

Ninja: Hi again!

Spy: I have your other question for you to answer.

Ninja: OK, bring it on!

Spy: 2+4(3n+8)

Ninja: I know the answer to that one!

Spy: Me too, it's 12n+10!

Ninja: HAHAHA no it's not! You didn't use the Distributive property, did you?

Spy:No.

Ninja: OK here's what you should have done. First of all you should just forget that the 2 is even there... put it in the back of your mind for a little while. Now you multiply the 4 and the 3n, and you should get...... 12n. Now you multiply the 4 and the 8, so that you get 32. You now bring back the 2 and combine it with the 32 to get 34. Since there is nothing to combine with the 12n, you just leave it alone. Finally, you have 12n+34... the RIGHT answer!

Spy: you really are good at math!

Ninja: Yep, now I have to go to my secret ninja training.

Spy: I see I see, OK then bye!

Ninja: See you soon!

Video #1, Combining like terms

Here is my divisive one step quation picture-

Chapter #4-Integer video

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