Quotative Division- Tanka
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:Can you answer a question? If you get it wrong .....I'll have to ask you another question!
Ninja:whats the question?
Ninja:OK, I think I have the answer, you just have to simplify the question, 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?
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.
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: Hi again!
Spy: I have your other question for you to answer.
Ninja: OK, bring it on!
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?
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
Video #2, the Distributive Property
Chapter #3-One Step Equation Solving
Here is my additive one step equation picture-
Here is my divisive one step quation picture-
Chapter #4-Integer video