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!
Commutative Property- Two students are lining up to get the homework checked, Even though the order of the student’s line changes they both get the homework checked
ReplyDeleteAssociative Property- Selena Katelin Chloe are lining up. At first Katelin and Selena are talking together and chloe is alone, next Katelin and Chloe talks together and Selena is alone. They are still in the same order.
Reflexive- a=a Even though Selena moves to another place she is still herself
Symmetric- Flight from seoul to jeju and the flight from jeju to seoul is the same time
Closure- strawberry and milk is equal to strawberry milk
Transitive- If Carrot’s color is the same as orange color and orange’s color is the same color as the sun, then the carrot’s color is the same as the sun’s color
Distributive- The sales person gives a shoe to customer A and gives the same pair of shoes to customer B. The next day they get the same shoes at the same time
Identity-Even though the dog shaves his hair it is still a dog.
Property of Opposites- Computer with lots of data gets reimaged then the computer has no data
Property of Opposite of a sum- Person A and B were doing homework together but they were disturbed so they studied by themself but they were still disturbed2
Great reflexive and symmetric properties!
DeleteIdentity: How is this multiplying by one or adding zero?
Jin Ho Yang
ReplyDeleteHyunJeongSuh
8B
Commutative:
You finished your math homework, and then later you finished your English homework. Tomorrow you finish your English homework and then math homework.
Associative:
I permed my hair and I changed the color of my hair in shop A. Few weeks later, I cut my hair in shop B. Next year I permed my hair in shop A, and a few weeks later I cut and changed the color of my hair in shop B.
Reflexive:
In May, the number of passengers riding in the bus was 23.
In June, the number of passengers riding in the bus was also 23.
Symmetric:
You buy a banana milk form a store. You mix the banana with milk at your home. THey both taste the same.
Closure:
If you mix blue paint, and yellow paint, its color is always green.
Transitive:
The color of my shoes are same as the color of my binder. The color of the binder is same as the color of Kevin’s shirt. Therefore, the color of the Kevin’s shirt is same as the color of my shoes.
Distributive:
You have two pens. Yesterday, you gave a pen to friend A. Today, you gave a pen to friend B = You have two pens, yesterday, you gave them to 2 of your friends, 1 pen each.
Identity of Addition:
You have a milk, and you didn’t mix any fruits in it. So it’s just a milk.
Property of Opposites:
You have three candies and your friend took away 3 candies. You have nothing left.
Property of the opposite of the sum:
You buy shoes from the store. After you tried it on, it didn’t fit. So you went back and refund the shoes.
I love your closure property!
DeleteOpposite of a Sum: Does not represent the property.
This comment has been removed by the author.
ReplyDeleteCommutative :
ReplyDeleteWriting with a pencil first and pen later is the same as writing with a pen first and a pencil later. This is the same because no matter the order, you are still using both pen and pencil.
Associative :
Our class received an assignments. First, Bob works with Sam and Charley works alone. Next, Bob works alone and Sam and Charley work together. This is the same because even though the grouping is different, they receive the same results of finishing the assignments.
(b+s) + c = b + (s + c)
Reflexive :
There is an algebra book. An algebra book is an algebra book.
a = a
Symmetric :
A car (a) equals to its parts (b). A car’s parts (b) equals to a car (a).
a = b , then b = a
Closure :
There is water (a). There is also a sprayer (b). Adding these together makes a sprayer with water in it (c).
a + b = c
Transitive :
Mukund’s shoe size (a) equals Victoria’s shoe size (b). Victoria shoe’s size (b) is equal to Bob’s shoe size (c). Therefore, Mukund’s shoe size (a) is equal to Bob’s shoe size (c).
a = b, b = c, a = c
Distributive :
Bob has a job of making computers. He earns $50 an hour (a). On the first day, he works for 2 hours (b). On the second day, he works for 3 hours (c). Another day, he works 5 hours in a row (d). Therefore, he earns 50(2+3) which is the same as 50*2 + 50*3. In total. Bob earns $250. In the other day, he earns 50(5), which is the same as 50(2+3).
a(b+c) = ab + ac
Identity :
There is a charger that doesn’t work (a). The macbook has 0% charged (b). You try to charge it, but the charger doesn’t work. The charge of the macbook does not change. Therefore, 0 + 0 = 0.
a + 0 = a
Property of Opposites
Fire is a and water is -a. If you add them together, they become nothing.
a + (-a) = 0 or -a + a = 0
Property of Opposites of a Sum
Ashley (a) breaks her macbook. Bob (b) also breaks his macbook. They go to the IT Office together, but the IT person says that it is not able to be fixed until the next week. Later, they go separately but the IT office says the same thing. Therefore, being together or being individually doesn’t matter. You still get the same outcomes.
-(a+b) = -a + (-b)
Great identity property example!
DeleteProperty of Opposites: Same example as a video on the wiki.
Properties Post
ReplyDeleteProperties covered so far:
Commutative : Add milk to cocoa powder, Add cocoa powder to milk. Same Outcome. Even if you change the order in which you put it in.
Associative: You have 3 ingredients. Chocolate Syrup, Strawberry Syrup, and Vanilla ice cream. You mix Chocolate Syrup, and Strawberry Syrup, and eat it. Then you eat the Ice Cream. You eat the Chocolate syrup by itself, then you mix the Strawberry Syrup with the ice cream and eat it. In the end, the order didn’t change, but the way you mixed(grouped) the foods, it came out as the same outcome; you ate everything!
Reflexive: Look on the surface of water
Symmetric: JoeBob is standing in front of the mirror. If JoeBob and mirror JoeBob is the same, then Mirror JoeBob=JoeBob. AB=BA
Closure: Mix Pasta Noodles with Tomato Sauce. Then, there is only one specific outcome. (Tomato Pasta)
Transitive: Tomato=təˈmātō. Tomato=Fruit təˈmātō=Fruit.
Distributive: There was a kid who had chocolate, and candy. Then, he gave some to one of his friends. However, he had other friends too, that did not get the candy, so he gave them too. A(B+C)=AB+AC (A=Candy and Chocolate)
Identity: Locked Door+No key= Still Locked Door.
Property of Opposites: (+)Marker + Board Eraser(-)=0
Property of Opposite of a Sum: There was a bundle of happy kids, and they were influenced by a bad man. They also turned bad. There were also a few bad kids with some more bad kids. They went together, and in the end, they are still bad. Bad=(-) Happy=(+)
I love your "tomato" transitive property example! Your identity and opposite properties are great too!
DeleteDistributive: Does not represent the property completely.
ReplyDeleteMath Project making videos for 10 properties that we learned. Kevin Chyun B Block
Commutative Property: Kevin wore shoes A at 9:00am and shoes B at noon two days ago. Yesterday, he wore shoes B at 9:00am and shoes A at noon.
Associative Property: My friend was mad and he threw a crumpled piece of paper first, a notebook second, and pencil last. Later, when he got mad again, he threw a notebook first, a pencil second, and a crumpled piece of paper last.
Reflexive Property: Alex was a handsome guy but he had an awkward personality. He always looked at himself in the mirror every day. When he looked in the mirror, he saw himself, which is the reflexive property.
Symmetric Property: Kevin visited Busan riding in a car on the highway. Then, right after Kevin arrived in Busan, his friend, Bob, went to Seoul. After 10 days, Bob needed to go to Busan because of his business problem so he proceeded his way. After Bob arrived, Kevin went back to Seoul to meet his friends at KIS.
Identity Property: Jeremy was the most famous boy at KIS so everybody in middle school knew him and said hi to him whenever they saw him. Also, Jeremy was friends with everybody se he couldn’t get anymore friends at KIS. a (number of friends that Jeremy has) + 0 (he can’t get anymore friends)= a (Jeremy’s current number of friends)
Transitive Property: In 2011, Kevin bought a macbook pro which is the second best computer out of three lap tops, and is the same one that Eric has. Eric has the same computer as Ryan, who has the computer that is the second best. This means that Ryan and Kevin have macbooks that have same versions!
Distributive Property: Kevin gave a cup of water to flower A and flower B. This means that flower A and flower B both got water from Kevin.
Closure Property: If I add ice to a cup of water, there is a cup of water with ice in it.
Ice + a cup of water = A cup of water with ice in it
Property of opposites: Mr. Jobe, one day got a disease that made him unable to speak after he visited London to watch the Olympics. When he came back to Korea, he went to the hospital and got a shot in his mouth. After this shot, Mr. Jobe could speak again without any problems.
Property of opposite of a sum: Kevin and Brian were riding in a car going to Busan. However, Brian farted during the ride, which was very smelly, and irritated Kevin and himself.
Associative: Grouping does not change.
DeleteReflexive: Similar to example in a video we watched.
Distributive: Does not properly represent this property.
Opposites: What are the opposites, and how do they combine to make zero?
Opposite of a Sum: Incorrectly represents property.
Commutative Property of Addition- a+b=b+a
ReplyDeleteOn Monday Joe studied for Algebra for one hour, then studied Science for one hour. On Tuesday Joe studied Science for an hour, and then studied Algebra for an hour. He got the same amount of studying time on both days.
Associative Property of Addition- (a+b)+c=a+(b+c)
Bob, Mom and Jack are going to the park. Bob holds hands with Mom, and Jack walks alone. After 5 minutes, Bob walks alone, and Mom holds Jack’s hand. The order they stand in does not change but the grouping (holding hands) does change, and these two cases are the same because all three people end up in the park.
Distributive Property of Addition- a(b+c)=ab+ac
Bob was in Mr. Patrick’s science class. In class, Bob mixed coke and sprite first, and then mixed the two liquids in his first experiment. On his second experiment, he boiled each coke and sprite. He mixed them after he boiled them, and he found out that the two mixtures were the same in amount and taste.
Reflexive Property of Equality- a=a
Jin mo took a picture of himself out of boredom and uploaded on facebook. His friends saw Jin mo’s picture and said, “Hey, that’s Jin mo!” Thus, the Jin mo in the picture looks the same as his self in real life.
Identity Property of Addition- a+0=a
Terry went to the mall to buy some fruits. He wanted to buy three apples and two bananas. However, he found out that the mall did not sell any bananas. Terry was said, but he bought three apples. Thus, Terry bought three apples and no bananas because he couldn’t buy any.
Symmetric Property of Equality- a=b, b=a
Jennifer has four puppies. Jane has four puppies too. Jennifer has as many puppies as Jane, and Jane has as many puppies as Jennifer.
Closure Property- a+b=c, always will be c
Geronimo wants to make some lemonade because the day was too hot. He pulled out a cup and poured 250mL of water. Next, he got a big spoon and dumped two spoonfuls of lemonade powder. Geronimo knew that 250mL of water and two spoonfuls of lemonade powder would make lemonade. Geronimo happily drank his lemonade.
Transitive Property- If a=b, b=c, then c=a
In the Estonian zoo, there are many animals. One day, the animal doctor came along to check the health of animals. He weighed the baby elephant, the lion, and the giraffe. He found out that the baby elephant weighed as much as the lion, and that the lion weighed as much as the giraffe. The animal doctor came to a conclusion that the baby elephant and the giraffe weighed the same.
Property of Opposites- a+(-a)=0 (-a)+a=0
Casey was writing an English paper for Mrs. Hanley by hand. After finishing her paper, Casey reread her work and found that she had made a grammar mistake. Casey whipped out her white-out and erased the part that she made a mistake. Casey happily handed in her English paper without any mistakes.
Property of Opposite Sum- -(a+b)=(-a)+(-b)
JK finished P.E. and headed straight to lunch without changing. He stood in line, and accidentally bumped into someone. The person spilled their lunch all over JK’s P.E. uniform. JK’s pants and shirt got dirty all at once.
I love your distributive property example! I also love the writing and erasing example for the property of opposites!
ReplyDeleteGreat written examples! Very thorough work.