Monday, August 29, 2011

Properties Post

Properties covered so far:

  • Commutative
  • Associative
  • Reflexive
  • Symmetric
  • Closure
  • Transitive
  • Distributive
  • Identity
  • Property of Opposites
  • Property of Opposite of a Sum


Make a real-life example not shown in the videos you've seen for each property above. You will receive one point for each appropriate example. Make sure to include both of your names. Good luck, and be creative!

10 comments:

  1. Commutative - First, count a baseball, a basketball, then a soccer ball. Next, count a basketball, a baseball, then a soccer ball.
    Associative - Count an apple and a banana, then an orange. After, count a apple, then a banana and an orange.
    Reflexive - An apple is an apple.
    Symmetric - If a red marker is a blue marker then a blue marker is a red marker.
    Closure - If you eat bread with peanut butter and jelly, then it is a peanut butter and jelly sandwich.
    Transitive - A Mercedez convertible equals a Mercedez sedan and a Mercedez sedan equals a Mercedez SUV, then a Mercedez convertible equals a Mercedez SUV.
    Distributive - A person handing out an equal amount of candy to two different people.
    Identity - If there are eight apples in a box and you don’t add anything to it, then there are still eight apples.
    Property of Opposites - This is when you erase pencil writing with an eraser.
    Property of Opposite of a Sum - If you throw away trash together with your friend, it is the same thing as you throwing away trash at a different time as your friend.

    ReplyDelete
  2. Thomas Kim and Chutima HanAugust 29, 2011 at 10:25 PM

    Commutative: 2 kids are standing in line for lunch. One kid cuts in front of another kid. The order changed, but it doesn’t matter because they both get lunch anyways.

    Associative: A boy gets 2 goldfish, and 3 koi fish. 1 week later, he gets another 4 sharks. The amount of fish in the tank would be: (2+3) + 4 = 9. If he got the koi and the sharks at the same time and the goldfish later, it wouldn’t matter because he will still have 9 fish. 2 + (3+4) = 9

    Reflexive: If you look at your reflection in a puddle, you will see yourself. A = A

    Symmetric: Boy 1 has the same computer as Boy 2 and Boy 2 has the same computer as Boy 1. A = B B = A

    Closure: Ice cream cone + sprinkles = ice cream cone with sprinkles

    Transitive: 3 girls have 3 rings each. Girl 1 has the same amount of rings as Girl 2 and Girl 2 has the same amount of rings as Girl 3, therefore, Girl 1 has the same amount of rings as Girl 3.

    Distributive: A boy and three of his friends found $2 each. One of the boy’s parents offered to double the money that each boy has if they clean the garage.
    The boys could pool their money and then double it, or they could double each one individually. 2(2 + 2 + 2 + 2) = 2(8)

    Identity: A book costs $5.00. The tax needed is $0.00. The total cost is still $5.00.

    Property of Opposites: A cold person stands near a warm fire. He is comfortable now, because he is not cold nor hot.

    Property of Opposite of a Sum: A dog 1 has fleas (-). It meets with dogs 2 and 3 at the same time. Later, dogs 2 and 3 both have fleas: (-2), (-3). Even if dog 1 meets with dogs 2 and 3 separately, they both would have gotten fleas anyways.

    ReplyDelete
  3. Jerry Kim and AprilAugust 31, 2011 at 8:22 AM

    Commutative
    Having 1 pencil, 1 eraser, and 1 marker is the same as having 1 eraser, 1 pencil, and 1 marker
    Associative
    Eating 1 banana in the morning, 2 bananas during lunch, 3 bananas during night is the same as eating 3 bananas in the morning, 2 bananas during lunch, and 1 banana during the night.
    Reflexive
    A cat is still a cat even if it’s had a haircut.
    Symmetric
    If a hamster is a mouse. Then, a mouse is a hamster.
    Closure
    If you have a burger with cheese, then it is a cheese burger.
    Transitive
    If mac computer is a laptop and a Windows computer is a laptop. Then, a mac computers is a windows computer.
    Distributive
    Getting 2 pairs of socks and 3 pairs of socks are the same as getting 5 pair of socks.
    Identity
    I have 1 donut. The Donut shop seller hits me when I try to steal one and gives me 0 donuts. I still have 1 donut.
    Property of Opposites
    I earn 5 dollars. But I earn the opposite amount of it! So I have 0 dollars now.
    Property of Opposite of a Sum
    chewing 1 gum at school 1 gum the next day is the same thing as chewing two gums a day.

    ReplyDelete
  4. Emily Kim - Chanwu OhAugust 31, 2011 at 8:45 PM

    - Commutative property- Tim and Mike both went to get lunch .Mike went in front of Tim. However they both got lunch. In a separate situation, Tim went in front of Mike, however they still both got lunch.
    - Associative property- Chanwu and Jerry and Johnny were in a group. And they had to do a project. In the first scene Chanwu and Jerry did everything and Johnny did nothing. However they still got full marks. In the second scene Jerry and Johnny did everything and Chanwu did nothing but they still got full marks.
    - Reflexive property- Chanwu is Chanwu. Even if he does plastic surgery he is still Chanwu. Whatever he does he is destined to be Chanwu.
    - Symmetric property- Bob and Mark were twins. So Bob equalled Mark and Mark equalled Bob.
    - Closure property- Mr.Jobe put pepperoni on a pizza. And he came out with pepperoni pizza.
    - Transitive property- Macbook is a type of computer. PC is also a type of computer. So Macbook equals PC.
    - Distributive property- Mr.Jobe was selling Chanwu action figures to Mr.Forrestal and Ms.Lee. Mr.Jobe gave one action figure to Mr.Forrestal and one to Ms.Lee.
    - Identity property- Mr.Jobe had one bread. He wanted another one so he asked Mr.Forrestal for another. However Mr.Forrestal didn’t give him any so Mr.Jobe still had one bread.
    - Property of Opposites- Chanwu was very poor. And then he won a billion dollars. However a thief took it all away. Chanwu was poor again.
    - Property of Opposites of a Sum- Chanwu and Ryan both won money. However a thief attacked them at the same time and they lost their money. In a another scene, a thief stole money from Chanwu, then went to ryan and stole ryan’s money. They both lost money anyways.

    ReplyDelete
  5. Agnes Kim & Terry Tae Ha LeeAugust 31, 2011 at 8:46 PM

    Commutative-
    Bob had three pieces of candy. He ate a blue candy then a red candy and a yellow candy. Later he bought more candy and ate the red one, blue one and the yellow one. Though eaten in different order, he still ate the same candies
    Associative-
    Bob went to a fast food restaurant and ordered the combo of hamburgers and fries with a side order of drinks. He changed his mind and ordered a combo of hamburgers and a drink with a side order of fries. He got the same food and result.
    Reflexive-
    Bob looked in a mirror and saw a guy. He was looking at himself in the mirror. so Bob=Bob - B=B
    Symmetric-
    Bob has the same age of Amy so Amy has the same age as Bob
    Closure-
    Yellow and Red mixed together create dark/light orange. It can equal no other color.
    Transitive-
    If Bob has the same color shirt as Terry and Terry has the same color shirt shirt as Austin, then Bob has the same color shirt as Austin.
    Distributive-
    Bob was rich so he gave $50 to Jay. He felt bad for Ryan who was standing next to Jay so he gave $50 to Ryan.
    Property of Opposites-
    If Bob ate something sour then something sweet to cancel out the sour taste, it would be the same as him eating something sweet then something sour to cancel out the sweet taste.
    Property of Opposite of a Sum-
    If Bob’s and Amy’s house caught on fire by a same fire, the results would be the same as Bob’s house catching on fire and Amy’s house burning by separate fires.

    ReplyDelete
  6. Sarah and ChristinaAugust 31, 2011 at 8:46 PM

    Commutative: Apple, Bananas, and Candies were standing in line Bananas cuts Apple and the order changes to Bananas, Apple, and Candies but they all still get lunch.
    Associative: Algebra and Pre algebra were in the same group but Pre Algebra had a fight with Algebra and moved to Geometry's group. Now Algebra is alone but it doesn't differ from Geometry being alone.
    Reflexive: A white eraser always equals to the white eraser no matter what it's doing.
    Symmetric: If Bob is the same gender as Tom, Tom is the same gender as Bob.
    Transitive: Blonde girl equals to brunette girl and brunette girl equals to red haired girl, then, blonde girl equals to red haired girl.
    Distributive: Johnny and two more students were running for the president. johnny wanted to win so badly so he gave A, the first student some money to join his team. Then, Johnny gave B, the other student some more money to join his team. With two more people on his side, Johnny won the election.
    Identity: Sara had two buckets. One of the buckets had a dozen eggs in it and the other bucket had none. She decided to add all the eggs together and she ended up with having a dozen eggs.
    Property of Opposites: Mary have three candies. Sally wanted three candies from Mary so Mary gave Sally three candies. Now Mary, has no candies left for herself.
    Property of Opposite of a Sum: In our house, we had two gold bars. A thief came in and cracked both of them. We still had our two gold bars but something negative happened to them. They were now in pieces.

    ReplyDelete
  7. -Commutative Property
    Andy, Bob and Charles lines up for lunch. Charles cuts in front of Bob. Order is different but they all end up with lunch.
    -Associative Property
    At a church, a father, a son and a mother sit in a row. Father and son pay their offering together and son’s mother pays separately. Next week, the son and mother pays their offering together and his father pays separately, but they all payed the same amount each week.
    -Reflexive Property
    I am me and you are you.
    -Symmetric Property
    I have the same amount of money as you, and you have the same amount of money as me. we both have the same amount of money.
    -Closure property
    Chocolate and milk combined only forms milk chocolate, nothing else.
    -Transitive Property
    In a test, Andy got same score as Bob, and Charles got same score as Bob. Andy has the same score as Charles.
    -Distributive Property
    I give a computer virus to both Tom and Jerry’s computer at the same time. Next time I give a computer virus to each of them separately, they both end up with the computer virus.
    -Identity Property
    I got a 100 out of 100 on a test with extra credit. I did not get any of the extra credit question right. My score is still 100 out of 100.
    -Property of Opposites
    A computer earned a virus and the owner downloads a vaccine program. Now the virus is gone.
    -Property of Opposite of a Sums
    A dog with fleas meets two dogs without fleas at once. They all end up with fleas. Next time, the dog with fleas met each of the dogs without fleas separately. They also all end up with fleas.

    ReplyDelete
  8. Commutative:
    Kelvin, David, and Seong Ho (K, D, S) were in a line for a bus in this order. Seong Ho cut in front of David and now it is Kelvin, Seong Ho, and David (K, S, D). But we still get to ride the bus.

    Associative:
    Sheamin, David, and Emily are on line in this order to buy lunch. David asks Sheamin out to go out. (Sheamin + David) + Emily. Two seconds later, David breaks up with her and goes out with Emily. Sheamin + (David + Emily) They still end up going out.

    Reflexive:
    I am David (a), everything I do, I am still David (a = a)

    Symmetric:
    I am Seong Ho, the son of the Yun’s family. (a = b) Sooooooooooo the son of the Yun’s family is me~ (b = a)

    Closure:
    David and Emily goes to school. They can only take math by Mr. Jobe. No matter what, they have to be taught by Mr. Jobe.

    Transitive:
    David is a fat. Being fat is bad for health. So David has bad health.

    Distributive:
    I have two shirts. I need to give them away. I give one shirt to Kelvin. David gets mad. So I give my other shirt to David.

    Identity:
    I have one shirt. I asked David for another shirt. However, David doesn’t have a shirt. So I still only has one shirt.

    Property of opposite:
    David has 1000 dollar to spend on Las Vegas. Thinking that he’ll hit a jackpot, he betted 1000 dollars on Blackjack. However, he was wrong.... He lost all his bet. Not he has 0 dollars.

    Property of Opposite of a Sum
    Kelvin and Eric are walking on a street. They meet gangsters and they both get beaten up. Kelvin one day later, goes to the same street and gets beaten up by the same gangsters. The next day, Eric goes to the same street and also gets beaten up. Even if they go alone or together they both get beaten up.

    ReplyDelete
  9. Yun Ji Chung & John LeeSeptember 3, 2011 at 4:28 AM

    By: Yun Ji Chung & John Lee (8D)

    Commutative
    Jam went to the store and bought three candies and Ham went to the store and bought two candies so they have five candies in total. The next day, Ham went to the store first and bought two candies again and Jam went to the store after and bought three candies and they have five candies in total again.

    Associative
    Fred and Carl went to Jim’s house and sat on the purple couch while Jim sat on the green couch. The next day Fred sat alone on the purple couch while Carl and Jim sat on the green couch.

    Reflexive
    There was an apple on the couch. The next day the apple was moved to the bed but it is still the same apple. No matter where the apple is moved, it is still an apple.

    Symmetric
    If Bob’s t-shirt is the same color as Nom’s t-shirt, then Nom’s t-shirt is the same color as Bob’s t-shirt.

    Closure
    Joe drew a circle on a paper and now the result is a paper with a circle on it.

    Transitive
    Joe’s t-shirt was blue and Andrew’s t-shirt was blue too so they have the same color t-shirt. Lora has the same color t-shirt as Andrew, which means that she has the same color t-shirt as Joe too since Joe and Andrew has the same color t-shirt.

    Distributive
    Sam gave a chocolate chip cookie to Joe. Then Sam saw Tom standing next to Joe and felt bad that Tom doesn’t have a cookie so he gave Tom a cookie too.

    Identity
    Jon has an apple. He went to the supermarket and got zero apples. He still has one apple.

    Property of Opposites
    Kim walked 5 meters east and 5 meters west. He is at the same spot again.

    Property of Opposite of a Sum
    Lina and Jen went to a crowded area and got robbed $1. The next day, Lina went by herself to that same place and got robbed $1 again. The day after that, Jen went by herself to that same place and got robbed $1. No matter if they go together or go separately, get still got robbed.

    ReplyDelete
  10. Jerry & April: Associative is incorrect. Distributive doesn't quite make sense. Property of Opposites - how did you earn -$5? Property of Opposite of a Sum doesn't work because it isn't the same as two pieces of gum in ONE day.

    Emily & Chanwu: Transitive Property doesn't make sense because you said it's equal to a TYPE of computer. That does not work with transitive property, obviously, since a Mac is not a PC.

    Anges & Terry: Property of Opposites does not need to change the order. That would be the commutative property.

    Sarah & Christina: Associatie and Transitive examples don't make sense. Property of Opposite of a Sum example does not represent the property accurately.

    ReplyDelete