Sutchai's 2 Minutes to Make a Difference
Sutchai's Last Fraction Post
Adding Fractions:
Adding Mixed Numbers:1. Convert mixed numbers to improper fractions.
2. Find common denominator.
3. Add both numerators and then add both denominators.
4. Convert improper fraction to mixed number.
5. Simplify if it's possible.
Subtracting Fractions:
1. Find common denominators.
2. Subtract numerators and leave the denominator as it is.
3. Simplify if it's possible.
Multiplying Fractions:
1. Find common denominator.
2. Multiply both numerators and then multiply both denominators.
3. Simplify if it's possible.
Multiplying Mixed Numbers:
1. Convert mixed numbers to improper fractions.
2. Find common denominator.
3. Multiply both numerators and then multiply both denominators.
4. Simplify if it's possible.
Dividing Fractions:
1. Find the reciprocal of one of the fractions.
2. Multiply both of the numerators and then multiply both of the denominators.
3. Simplify if it's possible.
Dividing Mixed Numbers:
1. Convert mixed numbers to improper fractions.
2. Find the reciprocal of one of the fractions.
3. Multiply both numerators and then multiply both denominators.
4. Simplify if it's possible.


Sutchai's Fraction Word Problems








Sutchai's Pythagoras Post
Right Angle Triangle
This is a Right Angle Triangle (R.A.T.), it has legs and a hypotenuse. It is called a right angle triangle because it has a right angle in it. Do you see that little square in the corner of the triangle? That's where the right angle is located. The legs of the triangle make up the right angle. You can label these "a" or "b", it doesnt matter which side "a" or "b" goes on, as long as one is on one side of the right angle and vice versa. The hypotenuse is the longest side of the triangle, it is directly across from the right angle. It is labelled "c". It has one right angle and two other angles that make up 90 degrees. The two acute angles that make up the 90 degree angle are called "complimentry angles". They can also be called "theta" and "beta" because theta and beta make up 90 degrees. Theta and beta are located at the two acute angles.Square
This is a square. How do we know that it's not a rectangle? Because it has lines of symetry. The lines of symetry are the lines on each side of the square. The lines of symetry indicate that all sides are equal. A sqare has four 90 degree angles. It is in each corner of the square. This whole square adds up to 360 degrees. How do we know? Because 4 x 90 degrees = 360 degrees. It has two right angled triangles in it. How do we know? Because when you cut the square in half from opposite corners, you will get two right angled triangles (R.A.T.). Also, since the triangle adds up to 180 degrees, 2 x 180 degrees = 360 degrees.
This is a Greek man who figured out the "Pythagorean Theorem". He was also known as the father of math. He hung out in Egypt and he was a vegan (someone who eats only non-living things). He figured out the circumference of the earth and he also found out that the earth revolves around the sun. He figured out the cure for sick people, harmonics. Pythagoras liked to make words for a huge group of things like for all the planets and stars he made the word cosmos.
This is the "Pythagorean Theorem". It was created by Pythagoras. He came up with this theorem to figure out an unknown side of a triangle. For example, when you know the sides "a" and "b", you can plug them into the theorem and multiply "a", multiply "b" and add them up together. Then, find the square root of the product and find the square root of "c" squared. Then you have what "c" equals. When you prove it using squares, it should work out if you cut out the squares to fit the "c" squared. The R.A.T. in the middle proves that it is the length of the unknown side.Mr.Harbeck, I personally think that we should care in grade 8 math because it will be heading our way when we get to a harder level in math, and we'll need to know these things already in order to learn more advanced stuff.
Now, for the 2 problems I chose to solve.
Here's the first one:

To find the base of the triangle, first you must find out the base of one side. Then, after you find the base of one side of the triangle, double the base of that one side, and you'll get the base of the whole triangle. You have to double it because you know that both sides of the triangle are equal.
Here's the second problem:

To find the perimeter of the game board, first find the sides of the square. Then, once you know the side of the square, you'll know sides "a" and "b" on the triangle, since they're both equal. Since you know both sides "a" and "b", you have to now figure out what the hypotenuse is ("c"). Once you figure out the hypotenuse, you now know all sides of the triangle and you can add up all sides of the game board.
Here are the math videos that Michelle and I made:
Sutchai's Scribe Post for January 12, 2008
The second question I chose was 12n=48.
The third question I chose was n+9=-4.
And the last question I chose was -9+n=17 
Paying It Forward




What I ended up doing was I made cards with Abby, Alyanna, Carrie, Gelli, Arielle, and Tracy. The cards we made were about paying it forward, explaining what pay it forward is, why we are doing it, and how others can help. We all participated and equally shared the work by thinking, writing, drawing, and coloring.
On the front of each card said, "Pay it Forward" and to read before thinking to even throw it out or something similar. If you think about it, do you think you'd read something handmade made by anonymous people in the mail? Would you throw it out without even reading it? I honestly probably wouldn't take the time to read it, but maybe if it said something like, Please read before throwing out." or "Before you even think of throwing this out, please read it." I'd probably read it. We also drew pictures on the front of the cards like flowers, cartoons, and forward symbols like the ones on a VCR. In the inside of the cards basically covered the who, what, when, where, why, and how. We also drew diagrams of one person paying it forward to three other people, each of the three paying it forward to three other people, and so on. We showed how it can spread quickly to many people and around the world. We also attached a lollipop to each of the cards to show our appreciation to pay it forward. We put the cards into mailboxes of unknown people.
I felt that I have done a good deed by spreading the message to others. I also felt like watching someone open their door and read what we had left in their mailbox and how they would react. I think the people whom I have given it to would have probably had a happy feeling reading the card and had a smile on their face wondering who had made the cards. I'm hoping that the people who received the cards actually read it and don't tend on throwing it out. I hope that they also pay it forward to help us spread the message.
Do I think that one person can make a difference? I know someone can make difference, it may not be a huge difference like to stop global warming but everyone counts. Even if that difference is very little, it will continue to grow no matter how small it may be. It is almost like a tree, it'll start out small and it will take time for it to grow, but in the end it is a large beautiful tree, and all the waiting really paid off. I think if you really believe in yourself that you can make a difference in our world and that you never give up, you will make a difference. No matter who you are. Age? Size? Culture? Ethnicity? That all doesn't matter, what matters is what is in you! Every little difference can make a HUGE DIFFERENCE! EVERY PERSON COUNTS!
The Great Big Book of Algebra
Auntie Donna: Hi Matthew!
Matthew: I have a math test tomorrow and I was wondering if you could test me with a couple of algebra questions.
Auntie Donna: Oh, sure. Hmm... Let me think of one... How about n+3-5n+12.
Matthew: Hmm... I think the answer is -6n+15
Auntie Donna: Your answer is incorrect, Matthew. Let's simply go back and take a look at how to do this question, and what you did wrong while solving it.
Matthew: Oh, shucks! Well, alright...
Auntie Donna: Well, first you must re-group the numbers to make it easier to solve. Therefore it should be, n-5n+3+12.Then combine like terms and solve it. Which means combine all the terms that are the same. Now, it should be, -4n+15. Now you have simplified it.
Matthew: Well, what did I do, to get my incorrect answer?
Auntie Donna: Hmm... Well, if we go back and look at it, you added -n and -5n instead of subtracting -5n from n.
Matthew: Oh, I see I see... Can you give me one more question?
Auntie Donna: Sure. How about, 2+4(3n+8).
Matthew: Okay, I'll try it. Uh... I came up with 12n+10.
Auntie Donna: Once again, you're incorrect. Let's go back and do step by step again.
Matthew: Aww... okay.
Auntie Donna: Okay, so with this question, there is distributive property going on. You can underline it so that you know where it happens. So, put the 2 first because you know that it's going to stay because it's not part of the distributive property. Now, take the number beside the bracket and multiply the two terms inside the brackets. It should now be, 2+12n+32. Now re-group it. It should be, 12n+2+32. Combine the like terms like last time. It should be, 12n+34. And that should be your simplified expression.
Matthew: Oh, right. Well, explain to me what I did wrong.
Auntie Donna: Oh yeah. Well, when you first looked at the question, instead of multiplying both terms in the bracket, you just multiplied the first one, and added the last two integers. Which is why you got the answer 12n+10.
Matthew: Ooooohhh. I get it now. It really is easy now that you've explained it all. Thanks Auntie Donna! I hope I do well on my math test.
Auntie Donna: Oh, I'm sure you will, but just remember to go step by step. It's okay to use lots of paper because we recycle!
Additive: First, I isolated the variable. I isolated the variable by adding its opposite, which would be -2. Since I added -2 to the left side, I must balance it out, so I have to add it to the right side. After that, I crossed out +2 and -2, because they make zero pairs, and zero pairs are worth nothing. Then, I got n=6-2. So I solved 6-2, which led me to n=4. Finally, I verified by plugging in what n equals where n is supposed to go.
Subtractive: First, I isolated the variable by adding +3 to the left side, then I also did it on the other side to balance it out. Next, I crossed out -3 and +3 because they are zero pairs. Next I solved 7+3. Then I got n=10. Finally, I verified by plugging in what n equals where n is supposed to go.
Multiplicitave: First, I isolated the variable by dividing 3n by 3 on the left side, and I also did it on the right side to balance it out. Then I crossed out 3 and 3 because they cancel eachother out. Next, I solved 6/3. Then I got n=2. Finally, I verified by plugging in what n equals where n is supposed to go.
ATTENTION PLEASE ! : On, my title of the picture there, I meant to put DIVISIVE, not DIVISITIVE. Thank you. :)
Divisive: First, I isolated the variable by multiplying n by 2. Then I got 2n/2. I also did it on the other side to balance it out. Then I crossed out the 2 and the 2, because they cancel eachother out. Then I solved 4(2) and I got n=8. Finally, I verifiedby plugging in the what n equals where n is supposed to go.
Labels: greatbigbook, intpoetry, onestep, sutchaisana841, xtranormal
Sutchai's Integer Story
Her parents looked over her work, and told her it was correct, so Chanel got her bracelet that she wanted with her name engraved on it!
It turns out, her answer was correct. So they went to the mall and got her those pair of jeans with her name sewed on it.Chanel had a laptop, but somehow, she didnt have her name on it. She asked her dad is he can go get it printed on her laptop for her. He said, "I will, but only if you answer this integer question with using the words, I have and I owe". Chanel's Dad told her that "I have" stood for positive, and "I owe" stood for negative. The question was, (+13) + (-10) = ? Chanel thought hard for a minute. But she eventually came up with an answer, here's her answer:
Chanel's Dad checked her work, and told her it was...correct! She was so happy that she got her laptop with her name printed on it.
Chanel got her answer correct! Her parents got her cell phone with her name on it. Chanel was sure that there was still way more items that she was going to want to get engraved, printed or sewed on.To Be Continued...
"Looks like her work is correct!" said Chanel's Dad. So they went and got her name sewed on Berry.
Chanel's Dad looked over her work and said, "Good job! You're correct!" Chanel said, "Awesome!" So Chanel's Dad and Chanel went to get her name sewed on her blanket.Scribe Post October 22, 2008
Oh, and by the way, I'll give you all the situations before I answer them. I will also bold the important key words and/or numbers in the situation.
6. A certain stock starts at 319 points, gains 55 points, drops 45 points, and drops 28 points.
7. An elevator starts on the 9th floor, descends 5 floors, and ascends 9 floors.
8. A helium filled balloon is released, gains 53m, drops 32m, gains 47m, and drops 38m.
9. An airplane takes off, gains 955m, gains another 273m, drops 36m, and drops 49m.
10. The temperature starts at 18(degrees)C, drops 4(degrees)C, rises 22(degrees)C, drops 6(degrees)C, and gains 8(degrees)C.
*The keywords and/or numbers tell you wether it is a negative, positive, or a zero.
Remember that you should always re-group if it is not re-grouped already
Number 9:
Sutchai's Measures of Central Tendency

Median:The middle number in a data set when the data are put in order; a type of average.
Mode:A type of average; the number (or numbers) that occurs most frequently in a set of data.

Range:In statistics, the difference between the largest and the smallest numbers in a data set.
Here's a video that explains the mean, median, mode, and range :
