841 Math Blog

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! :)