Showing posts with label Nicko 8-16. Show all posts
Showing posts with label Nicko 8-16. Show all posts
Skills Post: Converting
In skills class today, we learned that multiplying improper fractions are easier than multiplying mixed numbers.
April 27, 2009 Math Homework
Nicko's Stuff:
Questions 9 to 12
#9
The distance to Grandma's house is 4/5 of the distance to Uncle Glen's. If Uncle Glen's house is
3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?
To multiply fractions, it would be way easier if there was no whole number. Let's turn 3 1/2 in to an improper fraction. To do this, you multiply the denominator by the whole number and add the numerator.
3 x 2 + 1 = 7
Now we have 4/5 x 7/2. Now we multiply the numerator then the denominator.
4 x 7 = 28
5 x 2 = 10
Now we have 28/10 as an answer. We then simplify the answer. 28/10 = 2 and 8/10. We can even simplify this more to 2 and 1/4.
Now we know that it will take 2 and 1/4 hours to reach Grandma's house.
#10
It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days?
In each 5 days, 3/5 is used. So all you have to do is multiply the numerator by 5.
5 x 3 = 15.
15/5 or 3 tanks
In five days it takes 3 tanks of gas to get to work.
#11
Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th b-day, how will old Owen be?
8 x 2 1/4 is the basic question. Again we should not multiply mixed fractions, so we convert.
2 x 4 + 1 = 9
The question becomes: 8 x 9/4
*When we have a whole number being multiplied to a fraction, all you have to do is multiply the whole by the numerator and use the same denominator.*
72/4 is what it will become but now we have to simplify. Both numerator are even so the can be divided by two.
36/2 again they are both even.
18/1 is the most simple form possible. It's basically just 18.
Owen will then be 18 when Robin becomes 8.
#12
The Karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?
The question is basically asking: 3 x 3 1/4.
3 x 13/4
39/4
9 and 3/4
I got lazy and didn't show my work so I hope you figured out what I did. If not, check out the other question i did.
It will take 9 and 45 minutes to test 3 groups of 4 candidates each.
Questions 9 to 12
#9
The distance to Grandma's house is 4/5 of the distance to Uncle Glen's. If Uncle Glen's house is
3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?
To multiply fractions, it would be way easier if there was no whole number. Let's turn 3 1/2 in to an improper fraction. To do this, you multiply the denominator by the whole number and add the numerator.
3 x 2 + 1 = 7
Now we have 4/5 x 7/2. Now we multiply the numerator then the denominator.
4 x 7 = 28
5 x 2 = 10
Now we have 28/10 as an answer. We then simplify the answer. 28/10 = 2 and 8/10. We can even simplify this more to 2 and 1/4.
Now we know that it will take 2 and 1/4 hours to reach Grandma's house.
#10
It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days?
In each 5 days, 3/5 is used. So all you have to do is multiply the numerator by 5.
5 x 3 = 15.
15/5 or 3 tanks
In five days it takes 3 tanks of gas to get to work.
#11
Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th b-day, how will old Owen be?
8 x 2 1/4 is the basic question. Again we should not multiply mixed fractions, so we convert.
2 x 4 + 1 = 9
The question becomes: 8 x 9/4
*When we have a whole number being multiplied to a fraction, all you have to do is multiply the whole by the numerator and use the same denominator.*
72/4 is what it will become but now we have to simplify. Both numerator are even so the can be divided by two.
36/2 again they are both even.
18/1 is the most simple form possible. It's basically just 18.
Owen will then be 18 when Robin becomes 8.
#12
The Karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of 4 candidates each?
The question is basically asking: 3 x 3 1/4.
3 x 13/4
39/4
9 and 3/4
I got lazy and didn't show my work so I hope you figured out what I did. If not, check out the other question i did.
It will take 9 and 45 minutes to test 3 groups of 4 candidates each.
_Nicko---- ~_~" ----Lissa_
Skills Post : Fraction
We are now starting a new section in math class called FRACTIONS. This assignment is to help everyone understand how to understand the difference between each fraction.
2/3 and 4/6, which is bigger?
1/4 and 1/8, which is smaller?There are many ways to find the difference between fractions but we will only consider 2. One way is to find its decimal value. We will do this for 2/3 and 4/6.
To find the decimal value of a fraction, you must divide numerator by the denominator.
2/3 =0.666
4/6 =0.666
As you can see both numbers equal the same amount.
Another way we can find out which fraction is smaller is by finding the common denominator. We will use this method to find the smaller piece between 1/4 and 1/8.
To do this we need to find the common denominator of 4 and 8. One way you can do this is by multiplying the numbers. A different way is just by counting multiples until you find a common denominator. We will use the second way to answer this question.
If we keep counting by fours, we will get to eight right away. Eight is then the lowest common denominator. We know to get four to eight we need to multiply by 2, therefore we need to multiply the numerator by two too.
1/4 = 2/8
now we can compare or contrast.
2/8 > 1/8
Now we know that 1/4 is bigger than 1/8.
February 4, 2009 Scribe Post
Transposing
Definition? - to bring (a term) from one side of an equation to the other, with corresponding change of sign.
What is that??!! Here's a few examples.
What do you notice here? Where did the letter "x" (variable) go? Where did the constant go?
Well, the variable went to the left side of the equal sign and the constant on the right side. What did we really do? We simply placed all the constant on one side and the variable on the other.Here's another example:
Okay, it's a bit messy but it's the best I can do. But here you can see the constant and variable getting separated into different sides of the equal sign. If you notice, after the transposing, it becomes a 1 step equation. Easy marks dudes and dudedettes.
Here's a rule or something you can keep in mind to help you:
Letter to the left,
Number to the right,
and just keep in balance,
Here's a rule or something you can keep in mind to help you:
Letter to the left,
Number to the right,
and just keep in balance,
Now try it for yourself!
-2k +19 = 3k -1
Alright fellas. Oh and ALWAYS VERIFY until Mr.Harbeck says so.
*leave a comment and your answer*
*leave a comment and your answer*
- nicko
Pay It Forward
An act of kindness just because...
An act of kindness just because...
During the break, I had plenty of chances to show an act of kindness. However there are only few big things I could have done. I had plenty of ideas but most of them took a lot of patience, time, energy and motivation. Most of those I didn't have. Another thing is that I mostly forgot about the assignment. On Sunday, January 4, I was at Future Shop with a friend and I was telling him how I forgot about this assignment. After listening he gave a huge idea. He told me that I could stand by the cashier line and help people pay for their things. I think he meant is as just a joke, but I thought about it. Sure, I had money to help people but that wasn't what I was thinking. I was thinking that if I told the people what I was doing and I ask them to pay it forward, I might just be able to say that I did my homework. So as a last attempt to PAY IT FORWARD, I stood in line and talked to people.
(Sadly, I didn't get this act in camera or video so it might seem unbelievable but you'll just have to trust me.)
Two guys offering to help pay for your things might seem kind of.... I don't know... out of the ordinary. Yet that's what I was doing. We were there for at least a good half an hour. I have to tell you, it was REALLY REALLY AWKWARD!! I talked to a few people that was in line and I got some pretty cool responses. Most them were real nice and some just sort of didn't respond. As I explained to them what I was doing, some people told me that they knew what Pay It Forward was, which was cool because it sort of made it somewhat less awkward. I asked most of them to Pay It Forward and it seems like they were interested in doing so. However, I didn't really ask those dudes that showed no reaction to Pay It Forward because it was weird and I just wanted to stop talking to them. Fortunately, people were nice that day. Everybody I had talked didn't really want to take my money so it was fine.
Can one person make difference? Heck Yeah! I believe that it only takes one person to make a difference. It may be a slow start but you never now where it can lead. It's just like a paper boat that you make and sail off in the lake or ocean. More like a message in the bottle. It can travel far. So think, if one person can make a difference, how much more of a difference can our whole class together make?
(Sadly, I didn't get this act in camera or video so it might seem unbelievable but you'll just have to trust me.)
Two guys offering to help pay for your things might seem kind of.... I don't know... out of the ordinary. Yet that's what I was doing. We were there for at least a good half an hour. I have to tell you, it was REALLY REALLY AWKWARD!! I talked to a few people that was in line and I got some pretty cool responses. Most them were real nice and some just sort of didn't respond. As I explained to them what I was doing, some people told me that they knew what Pay It Forward was, which was cool because it sort of made it somewhat less awkward. I asked most of them to Pay It Forward and it seems like they were interested in doing so. However, I didn't really ask those dudes that showed no reaction to Pay It Forward because it was weird and I just wanted to stop talking to them. Fortunately, people were nice that day. Everybody I had talked didn't really want to take my money so it was fine.
Can one person make difference? Heck Yeah! I believe that it only takes one person to make a difference. It may be a slow start but you never now where it can lead. It's just like a paper boat that you make and sail off in the lake or ocean. More like a message in the bottle. It can travel far. So think, if one person can make a difference, how much more of a difference can our whole class together make?
The Great Big Book of Algebra
Adding Integers (Haiku)
Adding Integers,
Have 'n' owe will help you learn,
As will number lines,
Subtracting Integers (Tanka)
Subtracting Integers,
Plus and Minus make Minus,
Plus and Plus make Plus,
Both Minus will make Plus,
Minus with Plus makes Minus,
Partitive Division (Cinquain)
Partitive,
Equal Groups,
Separating, answering, simplifying,
Solution for division questions,
Grouped Quantity,
Quotative Division (Diamante)
Quotative Division,
Fraction-like, simple,
Separating, dividing helping,
Doubling, tripling, increasing,
Quick, fun,
Multiplying,
Pratt's Law (Free Verse)
In the marvelous world of math,
multiplying helps a lot,
I know it's harder than a bath,
but it's better than smoking pot,
With math comes lots of laws and rules,
Pratt's Law is one of them,
knowing this will help all you fools,
When mult'plying or dividing,
All would depend on one thing,
"How many negative integers?"
even would make positive,
and odd would make negative,
All laws are made for our safety,
Pratt's Law is one of them,
It will keep you from failing,
And from Mr. Harbeck's flip flops.
*This is a video of Abby and Melissa solving algebra equations with algebra tiles, not me.*
Adding Integers,
Have 'n' owe will help you learn,
As will number lines,
Subtracting Integers (Tanka)
Subtracting Integers,
Plus and Minus make Minus,
Plus and Plus make Plus,
Both Minus will make Plus,
Minus with Plus makes Minus,
Partitive Division (Cinquain)
Partitive,
Equal Groups,
Separating, answering, simplifying,
Solution for division questions,
Grouped Quantity,
Quotative Division (Diamante)
Quotative Division,
Fraction-like, simple,
Separating, dividing helping,
Doubling, tripling, increasing,
Quick, fun,
Multiplying,
Pratt's Law (Free Verse)
In the marvelous world of math,
multiplying helps a lot,
I know it's harder than a bath,
but it's better than smoking pot,
With math comes lots of laws and rules,
Pratt's Law is one of them,
knowing this will help all you fools,
When mult'plying or dividing,
All would depend on one thing,
"How many negative integers?"
even would make positive,
and odd would make negative,
All laws are made for our safety,
Pratt's Law is one of them,
It will keep you from failing,
And from Mr. Harbeck's flip flops.
Chapter 2
Combining Like Terms & the Distributive Property
Moe: Lester, I think you did the math homework wrong. You said that n +3 -5n +12 is -4n +15. I think you are wrong.
Lester: Well Moe, why do you figure that?
Moe: Well, I got a different answer. This is how I did it. The question said n +3 -5n +12, right? So I put the like terms together. The n with the 5n and the 3 with the 12. That gave me 6n+15.
Lester: I still think you're wrong.
Moe: Why?
Lester: Well, when you added the n's, you forgot that the first n was a positive.
Moe: Oh.
Lester: Yeah. So instead of n +3 -5n +12 being 6n +15, its actually -4n +15.
Moe: Okay. So I guess I did 2 +4(3n +8) wrong.
Lester: Show me how you did it.
Moe: Okay. So 2 +4 times 3n plus eight. I multiplied first and got 12n then it was 2 +8 which is ten. So I have 2 +4(3n +8) equals 12n +10.
Lester: Yeah you did this wrong. In distributive property you have to multiply everything in the brackets not just the first one. What you did was multiply the first one and not 8.
Moe: Oh man!
Lester: It's okay. So if you do it properly, you will get 2 +4(3n +8) equals 2 +12n +32. And from there you will get 12n + 34.
Moe: Oh I see. Thanks a lot Lester.
Lester: Moe, you're welcome.
Lester: Well Moe, why do you figure that?
Moe: Well, I got a different answer. This is how I did it. The question said n +3 -5n +12, right? So I put the like terms together. The n with the 5n and the 3 with the 12. That gave me 6n+15.
Lester: I still think you're wrong.
Moe: Why?
Lester: Well, when you added the n's, you forgot that the first n was a positive.
Moe: Oh.
Lester: Yeah. So instead of n +3 -5n +12 being 6n +15, its actually -4n +15.
Moe: Okay. So I guess I did 2 +4(3n +8) wrong.
Lester: Show me how you did it.
Moe: Okay. So 2 +4 times 3n plus eight. I multiplied first and got 12n then it was 2 +8 which is ten. So I have 2 +4(3n +8) equals 12n +10.
Lester: Yeah you did this wrong. In distributive property you have to multiply everything in the brackets not just the first one. What you did was multiply the first one and not 8.
Moe: Oh man!
Lester: It's okay. So if you do it properly, you will get 2 +4(3n +8) equals 2 +12n +32. And from there you will get 12n + 34.
Moe: Oh I see. Thanks a lot Lester.
Lester: Moe, you're welcome.
Chapter 3
One Step Equation Solving
One Step Equation Solving
Additive
The step in this equation is to isolate the variable. You can do that by adding the opposite of the constant with the variable.
Subtractive
Important step: add the opposite. Once you do that, its basically just like a additive equation.
Multiplicative
Once again, isolate the variable. You do this by doing the opposite operation being done to the variable with the same number. In this case you must divide.
Chapter 4
Multiplicative
Divisive
Chapter 4
Algebra With Algetiles
*This is a video of Abby and Melissa solving algebra equations with algebra tiles, not me.*
Nicko's Integer Story
A long long time ago, in a galaxy far far away...
Integer Wars
The Human species were at war against the vile species of Necters. It all began from a game show...
Ten Days Ago
"We have a tie right now folks and we have three questions left." said the host, "The next question is... (+8) + (-3).
The Nectar was the first one to hit the buzzer. This is how he figured out the answer:
"Corrrrrect!!" said the host, "Necters are now in the lead with two questions remaining. This question could be the end of the human superiority in knowledge. The question is (-4) + (-3).
The human player's hand hit the buzzer as fast as a lightning can appear and disappear. The human showed the question this way:
"Exactly right!!!" the excited host yelped, "This is it folks, the question that will decide who is inferior and superior in knowledge!! The final question is..... (+1) + (+1).
Both the players hit the buzzer the exact same time.
"Well since you guys seem to have a tie," the host said, "I'm going to answer the question for everyone! The answer is 2. It is easy enough to answer in your head. I know it's not rocket science, but go me!!"
"Now for the real deal, the question is..." the host paused dramatically, "What is (-12) + (+21)!?"
The human and the Necters stared at each other for a split second and then it happened... the human buzzer rang loud!! The human then jumped up and laughed.
"Unbelievable folks!! The humans have won the battle of wits." the host said in a cheery way, "The humans are now the smartest species there is!!!"
"WOOOHOOOO!!!!!! YEAHHH!!!" the humans exclaimed.
"This is stupid! It was obviously a battle of speed than a battle of wits!!" the Necters viciously screamed, "Humans are inferior to us and we will show you!!! This is not over!!!
Present Day
It's now the seventh day of war between the humans and the Necters. The vile creatures, the Necters, have began to invade the humans' homeland, Reath. A group of humans have been chased down to a defensive outpost right outside the city. The outpost was built as a maze to protect the city, it stretches all around the city. It has a series of locks and alarms that can only be opened through answering questions only the brightest species can possibly answer.
The Necters have followed the humans to a huge building that seems to stretch forever. Upon reaching the building's entrance, a hologram of a woman appeared from the door. The woman was young and beautiful, she also looked very neat and organized. The woman said, "I am Rebekah and I am here to assist you. The following questions will determine if you are worthy enough to enter the great city of Wen Yesrej. Answer these following questions and i will open the door for you." Her image disappeared but was followed by 2 questions.
Loud noises came from the door as it unlocks. It's size made the door hard to move. It slowly swung open to give a full view of the wondrous city. Walking towards them was the young woman, Rebekah. She came up to them and greeted, "Welcome to Wen Yesrej. We humans only want peace and we are terribly sorry if we have given your species any offense. You have to understand that not all humans are the same and they all have different qualities."
In response, Ivan said, "We Necters did not come here to wage war anymore but to make peace and unity with the humans. We believe that if we join forces we will be the super species that will be invincible."
"I believe we can make this happen and we can do this right now. However, I am having trouble reaching my brother who has the only contact with out leader."
"Is there anything we can do? We would like to be on our way as soon as possible to deliver our message to our people."
"Well, to reach my brother I need to answer a question as a security check. However, I'm having trouble and it would be greatly appreciated if you helped."
"Already then, what would the question be?"
"It is, (-15) + (+8) - (-7) -(+13) + (-4)."
"Thank you very much!! We are going to have a good relationship and we will make great technological advances. I wish you well on your trip and I can't wait until you return. So long then."
(This is the story of the War of Wits)
Scribe Post for October 10, 2008
Probability
In class today we learned about Theoretical and Experimental Probability. Theoretical probability is what should happen, hence the word "Theory." Experimental probability is what happened after the experiment, sort of like the result. We learned that the more times we do an experiment, the closer the experimental probability is to the theoretical probability. To help us understand better, Mr.Harbeck used a gumball machine as an example.
(Drawn by chinn2)
In class today we learned about Theoretical and Experimental Probability. Theoretical probability is what should happen, hence the word "Theory." Experimental probability is what happened after the experiment, sort of like the result. We learned that the more times we do an experiment, the closer the experimental probability is to the theoretical probability. To help us understand better, Mr.Harbeck used a gumball machine as an example.
(Drawn by chinn2)
The gumball machine has 10 balls in total. Four of them are blue, 3 are yellow, 2 are green and one red. Every time we pull a gumball out, it replenishes what was taken out. To find the the theoretical probability you need to make a fraction, favorable outcome(F.O.) over total possible outcome(T.P.O.).
Ex.
So when we take out 10 gumballs only one of them should be red, right? Wrong!! That was only the theoretical probability. This is when experimental probability kicks in. To find this you need to conduct some experiments or trials. After this make a fraction of F.O. over # of trials.
Ex.
I want red, so red is my favorable outcome. Red has one out of 10 chance of being picked. 1/10 one being the F.O. and 10 being the T.P.O. One out of ten in fraction is 10%. This is the theoretical probability of a red gumball coming out. This goes the same for all the other colors.
So when we take out 10 gumballs only one of them should be red, right? Wrong!! That was only the theoretical probability. This is when experimental probability kicks in. To find this you need to conduct some experiments or trials. After this make a fraction of F.O. over # of trials.
Ex.
I want red, so again red is the favorable outcome. I took out 10 gumballs and I got 2Reds, 5Blues, 2Yellows and one Green. Out of ten gumballs, I got 2red ones. In other words, 2 F.O. out of 10 Trials. 2/10 = 20% = Experimental Probability.
I want red, so again red is the favorable outcome. I took out 10 gumballs and I got 2Reds, 5Blues, 2Yellows and one Green. Out of ten gumballs, I got 2red ones. In other words, 2 F.O. out of 10 Trials. 2/10 = 20% = Experimental Probability.
This is the first part of the class on Friday. The second part is the most beloved one, HOMEWORK!!
Which Italian Insects Often Fall in Love?
I am going to show you three of the 13 Questions on this page. (My answer may not be 100% correct so leave a comment if there are mistakes. Thank you.)
The first question I'm going to show is #8.
"Jack rolled a regular 6-faced die three times and got 2 each time. What is the probability he will get 2 on the next roll?
Answer: The probability he will roll a 2 again is 1/6 or 16.7%. Although he got twos in the last three times it doesn't change his theoretical probability.
The next question is #11.
"Jill tossed a coin 10 times and got heads every time. What is the probability she will get heads on the next toss?"
Answer: The probability he will get heads again is 1/2 or 50%. Even if he was in a streak, his theoretical probability is still the same.
The last question is #12.
"A traffic signal is green for 20 seconds, then amber for 5 seconds, then red for 30 seconds. When you reach the signal, what is the probability it is:
B) The probability it will be amber is 5/55 seconds or 1/11. That is 09.09% repeated.
This is mostly what we covered in class. I may have missed a few minor details but i hope this helps. Now I have the power to pick whoever I want to be the next scribe and I choose my BEST FRIEND, FRANCIS!!!
Which Italian Insects Often Fall in Love?
I am going to show you three of the 13 Questions on this page. (My answer may not be 100% correct so leave a comment if there are mistakes. Thank you.)
The first question I'm going to show is #8.
"Jack rolled a regular 6-faced die three times and got 2 each time. What is the probability he will get 2 on the next roll?
Answer: The probability he will roll a 2 again is 1/6 or 16.7%. Although he got twos in the last three times it doesn't change his theoretical probability.
The next question is #11.
"Jill tossed a coin 10 times and got heads every time. What is the probability she will get heads on the next toss?"
Answer: The probability he will get heads again is 1/2 or 50%. Even if he was in a streak, his theoretical probability is still the same.
The last question is #12.
"A traffic signal is green for 20 seconds, then amber for 5 seconds, then red for 30 seconds. When you reach the signal, what is the probability it is:
- a)-Green,
- b) - Amber,
B) The probability it will be amber is 5/55 seconds or 1/11. That is 09.09% repeated.
This is mostly what we covered in class. I may have missed a few minor details but i hope this helps. Now I have the power to pick whoever I want to be the next scribe and I choose my BEST FRIEND, FRANCIS!!!
Nicko's Measure of Central Tendency
Mean
The sum of the values divided by the number of values--usually called the "average."
Median
The median is the middle of a distribution: half the scores are above the median and half are below the median.
Mode
The most common number in a set of data. There can be multiple modes
Range
The difference between the largest number to the smallest number in the data.
Here is a video on MMM
The sum of the values divided by the number of values--usually called the "average."
- Place in ascending order
- Add all of the numbers together
- Divide by the number of values to get the mean
Median
The median is the middle of a distribution: half the scores are above the median and half are below the median.
- Place in ascending order
- Remove the corner numbers, repeat this until left with one or two numbers
- If left with one number, then that number is the mode
- If left with two number, find their mean and the number you get is the mode
Mode
The most common number in a set of data. There can be multiple modes
- Place in ascending order
- Observe all the numbers, look for numbers that show up multiple time
- Whichever number(s) show up, those are the mode(s)
Range
The difference between the largest number to the smallest number in the data.
- Place in ascending order
- Find the smallest and the biggest number
- Subtract the smallest from the biggest number to get the range
Here is a video on MMM
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