Showing posts with label Patrick 816. Show all posts
Showing posts with label Patrick 816. Show all posts

Patrick's Last Fraction Post

Monday, May 11, 2009


Hey Everyone! Last fraction post here and I'm gonna show you how to add, subtract, multiply and divide fractions! Let's start with adding!

Here's an example: 2/4 + 1/4
Since the denominators are the same, all you have to do is add the numerators together.
2 + 1 is 3 so... 3/4!

What if the denominators weren't the same?? :O! Well it's still easy! :) Just MAKE the denominators the same!
For example: 2/4 + 2/8
Now, how do you make the denominators of 4 and 8 the same? Divide 8 by 2! 8 divided by 2 is 4, which is the same as the other denominator. And whatever you do to one side, you do to the other. Now you have to divide the numerator by 2 'cuz you did it to the bottom. The numerator is 2 so 2 divided by 2 is 1. The fraction is 1/4!
2/4 + 1/4 = 3/4 ...hard? I think not!

Subtracting Fractions isn't very hard neither. I'll give you one example with the same denominators and another with different denominators.
Example 1: 4/10 - 2/10
Just subtract the numerators since denominators are the same. 4 - 2 = 2. 2/10 is the answer.

Example 2: 4/10 - 6/30
The denominators are 10 and 30. Divide 30 by 3 to equal 10, an equal denominator to 10! Whatever you do down there, you do up there, too. Divide 6 by 3 to get 2. The equation is 4/10 - 2/10 = 2/10

Multiplying Fractions gets a bit complicated, but not if you know what you're doing.
Example 1: 2/3 x 4/5
The first step is to multiply the numerators. 2 x 4 equals 8. Then multiply the denominators. 3 x 5 equals 15. Your fraction is 8/15! EEEEAASSYYY!!....if you know how to do it :)

Example 2: 2 1/2 x 1/2
Woah! That's hard, eh? NOT! Do you know what an improper fraction is? It's a fraction that has a greater numerator than denominator, meaning its total value is more than 1 whole. All you need to do is convert 2 1/2 into an improper fraction, then use the 2 steps from example 1! To convert a mixed number into an improper fraction, multiply your wholes (2) by your denominator (2) and then add it to your numerator (1). 2 x 2 = 4 + 1 =5. Then use the same denominator. 5/2 is the fraction so you're multiplying 5/2 by 1/2. Multiply Numerators (5 x 1 = 5) and denominators (2 x 2 = 4) to get the fraction 5/4. That's your answer!

Everything is easy so far, right? Well, how do you think dividing will be? EASY! I'll teach you on the way!
Example 1: 9/10 ÷ 3/4

The reciprocal is just a way to find the answer easier. The question is 9/10 ÷ 3/4. Take 3/4 and multiply it by its "opposite". 3/4 x 4/3 is 1 whole. Whatever you do down there, you do up there. Now you multiply 9/10 by 4/3 because you did it to the bottom fraction. Your answer is shown above. Just simplify the improper fraction into a mixed number.

Example 2: Mixed Numbers!
3 1/2 ÷ 7
First, convert your mixed number!
Whole x denominator + numerator...
3 x 2 = 6 + 1 = 7
7/2 is your fraction.
You also have to convert the 7. Let's use the denominator of 2! 7 x 2 is 14. 14/2 is 7 wholes!
7/2 ÷ 14/2 ...use the reciprocal now!


Dividing fractions isn't so bad...

Now let's get to word problems :)

#1: It takes 2 1/4 scoops of flour to make one cake. How many cakes do 15 scoops make?
Let's draw pictures!



As you can see by the indicated colors, 15 scoops of flour can make 6 cakes and 2/3 of a cake.

#2:
One day in Winnipeg with 10 1/2 hours of daylight, it was sunny for 1/3 of that time. For how many hours was it sunny that day?
Convert 10 1/2 into improper to make it easier...
10 x denominator (2) + numerator (1).
10 x 2 = 20 + 1 = 21
21/2 is equal to 10 1/2.
We're trying to find 1/3, so just divide it by 3 if you can, and take 1 piece because you have 1 thirds.

3 1/2 hours of that sunlight were sunny on that day in Winnipeg, out of 10 1/2 hours.

Oh! Before I go, remember to always simplify your fractions if possible, and to always have simple sentence answers to any word problem! Cya guys later!!

Scribe Post Jan 16 2009

Tuesday, January 20, 2009
Now I know this is very late but I forgot ok? -_- well..im doing it now :) I'll be doing a scribe on my test corrections...
I did pretty well on this test and I'm happy with my score, but if I never made those small mistakes I could have made it better. I'll give you an example of ONE of the four mistakes I made.
I lost half a mark for 1, 2, 3, and 4 because i didn't verify....so VERIFY PEOPLE! Don't make the same mistake! xD Unless you already did! :P I'll show you Question 2. This was a very easy question but it wasn't perfect 'cause I didn't verify...

I was missing the same thing (not the same numbers of course) in 1, 3 and 4....moving on....
Question 5 I missed completely 'cause I wasn't listening in class or something....

On Question 9, again, I didn't verify correctly...*sigh*

My last correction on my test was on Question 13...didn't verify correctly again....

Well...I'm finished with my scribe....good luck Jessalyne :)

Pay It Forward!

Tuesday, January 6, 2009
At the beginning of the winter break we were given a task to pay it forward or achieve one act of kindness. This could be done at any date during the winter break. My act of kindness was on new years eve and I "gave" that act of kindness to my parents when I volunteered to paint our bathroom (white :) just for details O.o) If you want further proof of my brother and I painting the bathroom... ask my parents?? :D Here are some pics of the bathroom! The first 2 pics are just to show the color of the walls before we painted it. Also, before we painted the walls, my dad changed the walls around the tub. I didn't have a plain wall picture, but you can see the green wall on the left side of the picture.


Now for pics with the new wall...

While I was doing this act of kindness, I was not really thinking about taking pictures of the walls or anything like that, it just felt good that I was helping someone and paying it forward, even though it was my parents who I passed it forward to. A few days before I painted the walls of the bathroom with my brother, I also talked to my mom and dad about Pay It Forward, the movie and our task. They both told me that they will pay it forward if I actually did something nice.

Can ONE person make a difference??!?! They sure can! I totally believe in this statement because if one person actually tries to make a difference in someones life, then the person that they helped will most likely want to make a difference in someone else's life and so on....PAY IT FORWARD! :)

scribepost for november 6, 2008

Saturday, November 8, 2008
Hey y'all! Second scribepost -_-"...yoohoo! Well, time to get started. We began our math class with a quiz.....wonder how I did. After that we began talking about multiplying integers using the quadrants Mr. Backe helped teach us yesterday. The quadrants all look like this....



Yesterday (Nov. 5th) we talked about each quadrant having 2 operations such as quadrant 1 with + and +. These are integers. Mr. Backe gave us questions yesterday and we all solved them in quadrant 1 and 2. For example, in quadrant 2, the question was (-2)(+3). We didn't see any signs of operations, but we remembered that last year we found out that if 2 brackets touched then we multiplied, but how do we do this? Well, -2 is just like saying "remove 2" and if we're multiplying we say "remove 2 GROUPS of". Now that just leaves the +3. "Remove 2 groups of +3) Well how can we remove anything if we don't have anything? Mr. Backe helped us with this and told us that we can take as many zeros as we can (zero pairs) and THEN take away whatever you need to take away.


We had homework on this and we were supposed to make up our own questions just like this one and solve it for quadrant 1 and 2. People shared their questions and we all solved them. Then we noticed that when you multiply a positive and a positive, then your product is also positive. We figured this rule would also go with the rest of the quadrants but with different products so we tried it out. We came up with a sentence for each quadrant.


We had a very long discussion about this and somehow it kept going 'till the end of class...which I was very happy about...no work....:)

Time for me to pick a scribe and get back to my Xbox360! ..hmmm.....

...*ahem*....yea, Bobby it's your turn >.> ...........
.....*ehem* PURPLE *cough*.... <<<<<< pretend that's purple 'cause I can't change my font color. The font color menu thingy won't open up -___-" oh well....

Patrick's Integer Story

Friday, October 24, 2008
The Amazing Integer

There was once an integer who was named Wierdo. He was just getting to know the world around him. In other words, he was still a baby integer. Every year on his planet of numbers, whenever you grow a year older, your body changes into the next number. It's kind of like counting your years of age. For example, people that had the shape as the number 34 were thirty four years old. You also had to stay away from stray numbers walking around on the street because if they catch you, then you grow older or younger, depending on what number they are. People can also be negative. If you are negative, you act like a (+100) year old for example, depending on how low of a negative you are. Well, Wierdo didn't know that so he went off making friends with stray numbers. Then one of the stray numbers grabbed onto him and he didn't know what to do. Wierdo was currently 1 year old. The stray was (+30) years old. How old is Wierdo now?



He felt very wierd, and his new friend that tried to "hug" him has disappeared. He walked back home and looked in the mirror. "AAAAHHHHHH"!!! He was wrinkly! And the shape of his body had changed from a 1 into a 31! His mom and dad freaked when they saw Wierdo and thought he was some stranger and not their son. He tried to explain what had happened but they did not believe him or even care what he was saying. They kicked him out of the house and told him to never come back. Somehow, Wierdo's mom had thrown him out of the house so hard that he was still flying in the air. He actually had time to think about what had just happened and how he was going to fix it. He was now coming close to the ground...and right below him was the number (-30)!!!!! He landed butt-first on the (-30)'s head. A beam flashed because of such a great impact and the stranger disappeared. Wierdo was now wondering how old he was now because he had learned from what had happened with the (+30) earlier in the day. He also had time to figure it out because his mom has such a great arm! Anyways, how old is Wierdo now?!


Wow! Wierdo feels like a baby that has only been alive for a year....wait...what?! Whatever. The point is, Wierdo is once again a baby 1 and he can go back home, but there is 1 problem. He doesn't know the way home because everything that happened when he was (+31) was erased from his memory. He now had to figure out a way to get back home. He thought about how when he gets older, he gets smarter so he said to himself, "What if I turn back into an old person so i can know the way home, and then transform back into a baby while my house is in sight so i can go home". Wow he thought. That was pretty smart for a 1 year old! Wierdo hadn't noticed that he was talking aloud and another integer was willing to help. This other integer had the shape as the integer (+14) so if they combined, then Wierdo's quest will take a shorter amount of time because 15 year olds are really active....atleast in my opinion. They decided to make a dramatic moment and went in slo-motion towards eachother, stretching their arms out as if they were about to hug eachother. As they were about to touch, a stinkin' (-2000) came across them and joined all 3 of them together. Not only that, but the (-2000) grandpa was riding a bike....


Now Wierdo's quest will take super duper long because of this stinky old man! Well, no pain no gain....60 hours with no sleep later they make it to Wierdo's house. All they need to do is find a dude who is the number (+1986) and combine so Wierdo can go back home. Wow! What a coincidinky! A number (+1986) is walking down the street. He refused to combine and sacrifice himself to a negative number with a bike in his head. Wierdo had enough and just wanted to go home so he snuck up on the 1986 and pounced on top of his head.



Another flash of a bright beam came out of nowhere for absolutely no reason at all, and there he was, stinky diaper and all, a (+1). He crawled home and went to sleep..................................................................................................................................



The next day he thought about what happened and how he had figured everything out, the math and all. He came up with a plan for today....get in more problems involving math! :) and so he set out, trying not to wake his parents. He snuck out of his room and rolled down the stairs...literally ROLLED down the stairs! "Boom, whack, kapowee, WOWOWEE!" He shook his head and crawled out the door. Luckily for this mischievous boy, there was a mailman standing outside and he bumped into him. Right before that annoying flash of bright light came out of nowhere, he saw the man's figure....(-45).


Now he was a (-44)...not bad. He walked around and kept thinking about what he did there....add the opposites....he loved it! He decided to tell everyone he saw about it. He ended up telling the whole city about it and it soon came up on the news. "A New Trend...Add the Opposites!" was on newspapers in seconds....wierd... and Wierdo felt awesome and famous! He decided to get younger to show everyone that a baby made "Add the opposites" up. He looked for a (+45) because we all know (-44) + (+45) = (+1) right? Yeah..... He just decided to find random people and join together to hopefully become (+1)...being the lazy brat that he is! He found a (+45), and a (+1).....


He was just about to tell everyone about his special smarts and brains and about how h came up with "Add th opposites" when he remembered.....he couldn't talk....
TO BE CONTINUED!!!.....BUAHAHA

Patrick's Integer Story

The Amazing Integer


There was once an integer who was named Wierdo. He was just getting to know the world around him. In other words, he was still a baby integer. Every year on his planet of numbers, whenever you grow a year older, your body changes into the next number. It's kind of like counting you're years of age. For example, people that had the shape as the number 34 were thirty four years old. You also had to stay away from stray numbers walking around on the street because if they catch you, then you grow older or younger, depending on what number they are. People can also be negative. If you are negative, you act like a (+100) year old for example, depending on how low of a negative you are. Well, Wierdo didn't know that so he went off making friends with stray numbers. Then one of the stray numbers grabbed onto him and he didn't know what to do. Wierdo was currently 1 year old. The stray was (+30) years old. How old is Wierdo now?






He felt very wierd, and his new friend that tried to "hug" him has disappeared. He walked back home and looked in the mirror. "AAAAHHHHHH"!!!

scribe post for October 10, 2008

Saturday, October 11, 2008
Today in class we started off by discussing Theoretical Probability and Experimental Probability. We were talking about how we played a game where we were picking "gumballs" out of a bin and each color gumball has a different chance of appearing because for example there were lots of blue and that gave it a bigger chance to show up than the other colors. There was 1 red gumball, 2 green, 3 yellow, and 4 blue. 10 gumballs in total, so the total possible outcomes is 10. Now, each color of gumballs has a different chance of appearing and the total of gumballs is 10 so (e.g.) the red gumball has 1/10 chance of appearing. The yellow gumballs have 3/10 chance of appearing. The green gumballs have 2/10 chance of appearing and the blue gumballs have 4/10 chance of appearing. This is the "theoretical probability" because this is what SHOULD happen when we pick out 10 gumballs and put back the gumballs after every turn. Now, when we actually did the experiment, we saw that the theoretical experiment isn't going to be the exact answer, because each gumball has a CHANCE to appear, its not the "guaranteed" answer. When my group did the experiment, we got a pretty close comparison to the theoretical probability, but it still wasn't perfect. Mr. Harbeck told us to do this experiment, pulling out the gumballs one by one, 100 times to truly test if the theoretical probability is never what you'll really get. My group finished this experiment and these are our results. We picked out blue 47 times out of 100 which was only 7 draws off of what we should have gotten. For yellow it was also close, 25/100. For green we got 24 draws out of 100 and for red we got 4 draws out of 100. We also learned that the more you do an experiment, the closer you will get to the theoretical probability, and you might even land spot on the theoretical probability. Here is the work explained above.


The next and last thing we talked about was again about probability. It was just mainly a worksheet asking questions about probability. I chose to show you questions 4, 5 and 6. Question 4 asks "If you roll a regular 6-faced die 1200 times, about how many times would you expect to get a 4. Well for one thing, we know that this is a 6-sided die. That means each number has an equal chance of being rolled. If we take 1200 rolls and divide it by how many total possible outcomes there are, then we get 200. Now, we also know that each number has an equal chance of being rolled so that means we should expect the number 4 to be rolled 200 times if we were to roll a 6-sided die 1200 times.



Question 5 asks "If a raindrop falls on this set of 25 tiles arranged in a 5x5 square, how many equally likely outcomes are there? There are 25 tiles and 9 of them are black. All the rest of the tiles, 16, are white. Therefore, there is a 36% chance that the raindrops will land on the black tiles and a 64% chance that the raindrops will land on the white tiles. The result is that there are no equally likely outcomes.




For the last question I will be showing you, it asks you to find each probability if a raindrop falls on the black tiles, white tiles, and GREEN tiles. Well, from the last question we already found the probability of landing on the black or white tiles. Black has a 36% chance of being landed on by (a) raindrop(s) and white has a 64% chance of being landed on by (a) raindrop(s). All we need to find now is the probability of a raindrop landing on a green tile. The answer is very simple, 0% chance. It is 0% chance because there ARE no green tiles!


That is pretty much all we did today in math class so I hoped someone learned something out there. I know I did. So, i have to choose someone to do the next scribe...who should i pick?? Hhhhhmmm... I will have to pick : Marc :D

Patrick's Measures of Central Tendency

Wednesday, October 1, 2008
Mean:
  • The Mean is the result of adding all the numbers in a set of data and dividing the sum by the number of data. To find the mean you have to add up all of the numbers in your set of data and then divide by how many numbers you added up together.
Median:
  • The Median is the middle number of a set of data in numerical order. To find the median you have to put the nubmers in ascending order and see which one is directly in the middle. If there are 2 numbers in the middle then you have to add them both up and divide by 2 to find the middle.
Mode:
  • The Mode is the most occurring number in a set of data. To find the mode you need to put the numbers in ascendng order so it will be much easier for you and then you just check to see which number appears the most. If there is no number that is atleast doubled in your set of data, then there is no mode.



Mean: To find the mean you need to add up all the numbers in a set of data and then divide the sum by how many numbers you added up together.















Median: To find the median you first need to arrange the numbers in ascending order and then just check to see which number is directly in the middle of all your numbers and that is your median.














Mode: To find the mode you first need to arrange your numbers in ascending order to atleast make it easier for you. Then all you need to do is find the most occurring number in your set of data.















Range: The range is the result of subtracting the smallest number from the largest number. To find the range all you need to do is arrange your numbers in ascending order and then subtract the smallest number from the largest number.















Outlier: An outlier is a number that doesn't fit in with all the other numbers.















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