- Commutative Property
- Associative Property
- Inverse Property of Addition
- Identity Property of Addition
- Identity Property of Multiplication
- Multiplication Property of Zero
Make a real-life example not shown in the videos you've seen for each property above. You will receive two points for each appropriate example. Make sure to include both of your names. Good luck, and be creative!
Properties:
ReplyDeleteCommutative Property
Associative Property
Inverse Property of Addition
Identity Property of Addition
Identity Property of Multiplication
Multiplication Property of Zero V
Make a real-life example not shown in the videos you've seen for each property above. You will receive two points for each appropriate example. Make sure to include both of your names. Good luck, and be creative!
Commutative Property
Hello Kitty owed Mr.Potato Head 17 pieces of candy. The next day Hello Kitty owed 6 more pieces of candy to Mr.Potato Head. No matter what Hello Kitty will owe Mr.Potato Head 23 pieces of candy.
Associative Property
Elmo baked the first batch of 10cookies for Cookie Monster, 15cookies in the second batch, and 7 in the third. Elmo was so hungry Elmo ate them himself! He had none left! The next day Elmo decided to make two batches for Cookie Monster again. On his first batch he made 15cookies, on his second batch he made 7cookies, and 10 on the third. Elmo got hungry again and ate all of them himself again! Cookie Monster was sad that he got nothing from Elmo on his birthday.
Inverse Property of Addition
Some kids drew 8 drawings on Mr. Jobe’s whiteboard. He got furious and erased all of them. There were none left and so the kids got sad...
Identity Property of Addition
30 teachers went to the Middle School Ball. Everyone didn’t know and went home. There were still 30 teachers at the Middle School Ball.(waiting...)
Identity Property of Multiplication
Mr.Appleby went to the pet store to get his pet rock(Rocky) examined. They said they didn’t examine pet rocks. So instead Mr.Appleby got 7different pet supplies. When he went back home, he still had 7 different types of pet supplies.
Multiplication Property of Zero
Mom told me to do my homework 6times. But... I didn’t do it. So I never did my homework.
Commutative Property
ReplyDeleteEven though you change the sitting plan of students it is same that everyone learns.
Associative Property
So in a bookshelf there was 2 textbook and in other one there is 1notebook. But David used one of the textbook and accidentally put it in a shelf where there is the notebook. However even though he put the text book in other book shelf there is still same total amount of books in the bookshelves.
Identity Property of Addition
I will give you a example of inverse property of addition.
Board marker and Board eraser equals 0 which is nothing.
Identity Property of Multiplication
From the library David bought 4 books that each had a different genre, and the total amount of books he had was 4
Multiplication Property of Zero
Example is that there is a man and has a lot of hair but there was hair disease and the person becomes a bold. So Hair represent the number and disease is multiplying 0 and no hair is 0.
Properties:
ReplyDeleteCommutative Property
Example: Michelle bought 3 apples then, bought 4 oranges. The next day, Michelle bought 4 oranges first, then bought 3 apples. Even though it’s a different order, the result is the same (3 oranges and 4 apples).
3 + 4 = 4 + 3
Associative Property
Example: Clare jumped into a hole, and then Michelle and Teddy Bear jumped in the hole together. The next day, Clare and Michelle jumped in the hole together, and then Teddy Bear jumped in the hole. Even though the grouping changed, still, the result is the same. All 3 of them jumped into the hole 2 times.
c + (m+t) = (c+m) +t
Inverse Property of Addition
Example: The youngest troll went to the candy shop and bought 3 candies. While she was crossing the bridge, the monster came and said that he was going to give 3 more candies, but he actually took 3 candies from the troll. The youngest troll had 0 candies left, since the monster took the same amount of candies had.
3+ (-3) = 0
Identity Property of Addition
Example: Moe entered a eating contest. He ate a total of 63 apple pies. After, he wanted to eat more, but he was so full that he couldn’t eat any more apple pies. So, the total amount of pies he ate was 63 pies.
63 + 0= 63
Identity Property of Multiplication
Example: Clare fell into a rabbit hole and went to Multiland (short term of Multiplication Land). She ate a numble (short term of number marble) out of the jar of numbles that said eat me. She ate the numble 9, and became 9cm tall. (After Clare fell into the hole, she became 1cm tall.) She was so scared that she picked a second numble from the jar, it was the numble 1. She ate it and stayed the same, since 9 multiplied by 1 is 9; 9 stays the same.
1 x 9 = 9 9 x 1 = 9
Multiplication Property of Zero
Example: Michelle and Clare’s plan was to buy 3 pencils 3 times that week but then they couldn’t go to the stationary store that week so they couldn’t buy any pencils together. The result is that they didn’t but any pencils.
number 3 x 0 = 0
Commutative Property
ReplyDeleteThere are two people who bought teddy bears. One buys two first then one later. The other buys one first and two later. In the end, they both have three teddy bears. (1+2=2+1)
Associative Property
There are two people. One has one dog and the other has two dogs. The person with two dogs gives one of his dogs to the person with one dog. Now the person with one dog has two dogs and the other person has one dog. (1+(1+1)=(1+1)+1)
Inverse property of Addition
There are 5 pencils and 5 erasers. As pencil writes, the eraser erases what the pencil wrote. In the end, there is nothing left! (5+(-5)=0)
Identity property of Addition
Bob likes to collect stamps. He collects at least one stamp each day. However, one day, Bob felt like sleeping and didn’t collect any stamps that day. Therefore, he has the same amount of stamp as yesterday, today. (n+0=n)
Identity property of Multiplication
Jo is a clock collector. He went to the clock shop today and decides to buy 2 each of 3 clocks. He finds out that he doesn’t have enough money and decides to buy only on each. In total, Jo has 3clocks. (3x1=3)
Multiplication property of Zero
There is a piece of paper(number). A strong wind (zero) blows the paper away. In the end, there is nothing. (nx0=0)
Commutative property:
ReplyDeleteThere are 14 problems on a worksheet. Bob didn’t know the answer for the first question, so he decided to skip the first one and finish it later. At the end Bob finished all his problems. So, the order doesn’t matter because Bob would be done with all of them at the end anyways.
Associative property:
Bob bought 3 apples and 4 bananas in one store. He bought 2 watermelons in another store. Even though he buys 3 apples and 2 watermelons in one store and 4 bananas in the other store, he would still have a total of 9 fruits.
Inverse property of addition:
Chloe wrote a sentence and wanted to change her answer. She used the eraser to erase her answer. Nothing was left afterwards. When opposite numbers add it is left with a 0.
Identity property of addition:
Sebin wanted more candy, but decides not to because it will ruin her teeth. Therefore, she ends up with the amount she had before because she didn’t add anything more to the amount she had before.
Identity property of multiplication:
Michelle had 8 pencils. She held the pencils tight and jumped as high as she could. She still ended up with 8 pencils. Multiplying by one will always equal the amount it had before.
Multiplication property of zero
Nancy had 0 shirts to choose from. She wanted 2 groups with 3 shirts in each, but then she realized she had 0 shirts to choose from. So, she ended up with 0. When you multiply a number with 0 it ends up with 0
Associative Property
ReplyDeleteSo in a bookshelf there was 2 textbook and in other one there is 1notebook. But David used one of the textbook and accidentally put it in a shelf where there is the notebook. However even though he put the text book in other book shelf there is still same total amount of books in the bookshelves.
Inverse Property of Addition
I will give you a example of inverse property of addition.
Board marker and Board eraser equals 0 which is nothing. For example, David was drawing something on a whiteboard however jessica took it and erased it with a whiteboard eraser. So there was nothing left.
Identity Property of Addition
In David’s refrigerator there was one bottle of cokes.David decided to buy one more coke to keep 2 bottles. So he went to the market to buy the coke. However at the market there was no coke so he couldn’t buy the coke. 1+0=1
Identity Property of Multiplication
From the library David bought 4 books that each had a different genre, and the total amount of books he had was 4
Multiplication Property of Zero
Example is that there is a man and has a lot of hair but there was hair disease and the person becomes a bold. So Hair represent the number and disease is multiplying 0 and no hair is 0.
Examples of Properties in Real Life
ReplyDeleteCommutative property:
Bob and Joe ride the merry-go-round at Everland. They sit on horses that are on opposite sides. Bob sits so that he his next to the entrance, and Joe sits so that he is next to the exit. After having a wonderful time on the merry-go-round, the ride ends. Bob and Joe find themselves in opposite positions, so that Bob is next to the exit and Joe is next to the entrance. They have changed their order, like in the commutative property.
Associative property:
Three people were standing on a cliff, ready to cliff dive and standing in a single file line. The person in the front went first and dived from the cliff into the water, while the other two still stood on the cliff. Then the second person dived, and joined the first person. The order of the people did not change, but the grouping did. In the beginning, the first person was alone (when he dived) and the second and third person were together. But then the second person joined the first and left the third, changing the grouping.
Inverse property of addition:
Three apples are on the table. Jack goes out to the supermarket. The apples think he is going to buy more apples so they can be friends with the new apples. When Jack comes back, the apples see no more apples, only pears. They are sad. They have no new friends.
Identity property of addition:
Kristin loved ball-point pens. She had a collection of thirty ball-point pens at home. One day she went out to buy some more, but when she reached the store, she realized she had forgotten her wallet! Kristin, feeling silly, went back home without adding any more pens to her collection.
Identity property of multiplication:
On Friday afternoon, Jimmy and his friends played a game of poker. Jimmy had $20 to start with. He thought he would win some money. But Jimmy didn’t win or lose any money. His losses and his wins cancelled each other out. He ended up with his original amount of money, $20.
Multiplication property of zero:
John had a lot of baseball cards. Unfortunately, after being careless with his friends, a fire (zero) burned all of his baseball cards, leaving him with none.
Commutative Property
ReplyDeleteToday Kai first played basketball and then he played soccer. Tomorrow, Kai first played soccer and then he played basketball. The result doesn’t change because he still played both sports. (First order: Basketball⇒Soccer, Second order: Soccer⇒Basketball)
Associative Property
Jessica, Chloe and Christina were going on a trip to New York. On the airplane, Jessica and Chloe sat together, but after they had a fight, Chloe sat with Christina. It doesn’t change anything because they will still arrive at New York as planned. (First pair: Jessica & Chloe, Second pair: Chloe & Christina)
Inverse Property of Addition
On a test, Michelle got 2 marks off. But since she answered 2 extra point marks worthy questions correctly, she still got a full mark. (2 marks off: -2, 2 extra points: +2)
Identity Property of Addition
Yesterday Kai found an old pizza coupon for Papa Murphys, so he decided to get some the next day. When he went there and picked a pizza and gave the cashier the coupon, they told him that the coupon was expired so it couldn’t discount the price. So Kai had to pay full price. (Cost of pizza: Number, Expired coupon: 0)
Identity Property of Multiplication
Jessie decided to throw a slumber party, so she went to the market to buy plastic cups for everyone. There were going to be 6 people in total, so she multiplied 6 by 1 to figure out how many cups she had to buy, which is 6. (Number of people: number, How many cups everybody needs: 1)
Multiplication Property of Zero
Holy had 3 bottles of nail polish, but after spilling them on the floor, she ended up with none. (Nail polish: number, The act of spilling: 0)
Commutative Property: Say that Michelle and Chloe were partners for fitness testing in Ms. V’s P.E class and Dohee and Sam were partners as well. They had seven stations, but it didn't matter what order they did them. So, Michelle and Chloe did the stations in this order: 1, 3, 5, 4, 2, 6, 7. Dohee and Sam did them in this order: 2, 1, 4, 5, 6, 7, 3. The orders were different, but in the end, Dohee, Sam, Michelle, and Chloe, did all their fitness testing in one class period.
ReplyDeleteThe Associative Property: Say that Dohee, Michelle, and Bob were at the movie theatre. They were going to watch two movies. But each row of seats only had room for two people. Dohee and Michelle decided to sit together and let Bob sit alone for the first movie. But for the second movie, Dohee and Bob sat together and Michelle sat alone. The arrangements were different, but in the end, all three people watched both movies.
The Inverse property of addition: Michelle had $15 to spend for a shopping spree, her friend Dohee calls her and says she will bring $15 also to go shopping with her, but Dohee had forgotten her money and took all of Michelle’s money away. In the end, Michelle ended up with no money at all.
Hannah had 4 pieces of candy. In math class, Mr. Jobe was so impressed with her work that he offered to give her another piece of candy. But Mr. Jobe had forgotten that he had no more candy left, so Hannah did’t get any candy for being a good student in math class. She thought that she would get more candy, but she didn’t, so she ended up with her original four pieces of candy.
Dohee had 40 coins to put in the coin war, but Michelle said that it wasn’t enough and said that Dohee had to multiply the amount of coins. Dohee promised Michelle that she would. Dohee had no more coins other than those 40 coins, but she had to keep her promise. She told Michelle thats she multiplied the coins by one. In the end Michelle was very angry at Dohee for only putting 40 coins in the jar.
Multiplicative Property of Zero: Dohee was fiddling with her eraser while Michelle was explaining something very important to Dohee. But Dohee wasn’t listening Michelle got frustrated and threw the eraser out the window. At the end Dohee had nothing to fiddle with and Michelle could talk to her. The eraser was the number and the window was 0. 1*0=0
Characters in Our Property Story:
ReplyDelete1. Bob The Dude Who Wants To Go To Texas - He wants to go to Texas. He likes Call of Duty. He has a crush on Tomato.
2. John the Second Dude Who Wants To Go To Texas - He wants to go to Texas. He likes to eat and hates Dinosaur the Unicorn. He likes money.
3. Dinosaur the Unicorn - She is a dinosaur. She is a unicorn. She has a crush on Bob The Dude Who Wants To Go To Texas.
4. Tomato - Tomato is a Tomato. She cannot speak. Tomato is a Tomato.
Commutative Property
Bob The Dude Who Wants To Go To Texas ordered 5 tissues and 10 chicken heads on an internet shopping mall on the same day. However, the order information say that one of the items that he ordered will come first and the other one will come the next day. It doesn’t matter which items come first, because anyways they will total up to 15 items.
Associative Property
John The Second Dude Who Wants To Go To Texas buys 13 whales, and 5 cookie cutter sharks. He adds them up and finds out the total is 18 fish. 10 minutes later, he buys 2 octopuses, and realizes that now it is 20 fish. However, the next day, first he buys 5 cookie cutter sharks and 2 octopuses, and finds out it will be 7 fish. After 10 minutes, he buys 13 whales again, and realizes that it is 20 fish, just like the amount he bought yesterday.
Inverse Property of Addition
Bob The Dude Who Wants To Go To Texas and John The Second Dude Who Wants To Go To Texas visits the graveyard. It is midnight. Suddenly, hands start to come out of the graveyard. Two zombies crawl up the grave and attack Bob and John. Because of the severe zombie attack, John and Bob dies, which will equal no one.
Identity Property of Addition
Dinosaur the Unicorn gets two presents from from Bob The Dude Who Wants To Go Texas for her birthday. However, John The Second Dude Who Wants To Go To Texas doesn’t want to give Dinosaur the Unicorn a present, because he doesn’t want to spend money. So, John gives Dinosaur the Unicorn an empty present box and runs away.
Identity Property of Multiplication
Dinosaur the Unicorn, Bob The Dude Who Wants To Go To Texas, John The Second Dude Who Wants To Go To Texas, and Tomato buys and decides to share 30 burgers in a burger shop. While the other three friends are in the bathroom, John The Second Dude Who Wants To Go To Texas eats all the burgers. Therefore, he is the only one that ate the 30 burgers.
Multiplicative Property of Zero
Bob The Dude Who Wants To Go To Texas has 12 hours left before taking his big SAT. However, he decides that studying will not be fun and decides playing Call of Duty with Tomato will be fun. He doesn’t do any studying for 12 hours and receives a zero on his SAT. Sad.
Commutative Property -
ReplyDeleteVictoria’s team is first to kick in kickball. Doohwan’s team is first to be in the outfield. Next, Victoria’s team is second to be in the outfield and Doohwan’s team is seconds to kick. Therefore, Victoria and Doohwan both be in the outfield and also get to kick.
Associative Property -
Michelle, Tom, and Doohwan go out to play in coex. First, Tom and Doohwan plays together. However, later, Tom worries that Michelle will be alone, so he kicks Doohwan and goes to Michelle and plays with her.
Number 1 : M + (T + D)
Number 2 : (M + T) + D
Inverse Property of Addition -
There is two soccer teams, one called ‘Evil’ and one called ‘Good’. They both have the exact opposite characteristics, but they are both skilled equally. When they had a match
one day, either of them scored a goal because both of them are equally skilled. The match ended with the score 0-0.
Identity Property of Addition -
Steve Min and Steve Lee hated each other for being the only rivals in the pretending - to - be - a - monkey competition while eating apples. So, in the competition, they ate, trying really hard until they became really really fat and fainted. So, now there are no people in the competition.
2 people to 0 people pretending to be a monkey while eating apples.
Identity Property of Multiplication -
Kai, Junsu, and David promised each other to bring 2 candies every day to share, so in total they brought 6 candies each day. But one day all three of them brought only one candy instead two, bringing three candies in total. Then they realized that the number of candies equals to the number of themselves.
continued in ‘Multiplication Property of Zero’...
Multiplication Property of Zero -
Few days later, Kai, Junsu, and David didn’t bring even one candy. So in total they brought NONE. So they had to spend their day without candies that day.
Identity property of addition
ReplyDeleteMe and my friend went to a mini store. However only I had a 1000won, my friend had 0won. Only I could buy a can of soda.
Identity property of multiplication
One day Frankin was so curious and he sucked up air once. however nothing had happened.
Multiplication property of zero
I went to the event hall and bought 5 crackers and got 5 candies for free, because there was an event. After all I only bought 5 cookies and got 5 candies for free so the price of candies I paid is 0
5 candies x 0 dollars = 0
Commutative Property
Victoria goes to GS25 and the candy store everyday. One day, she went to GS25 first, and then the candy store, and another day she went to the candy store first and then GS25. Associative Property Victoria, Joy, and Katelin always play together. One day at the restaurant, Victoria sat with Joy. The other day, Victoria sat with Katelin, but they are still good friends. Inverse Property of Addition Steve Min had a 500 dollar loan. His mom earned 500 dollars and put it in his bank and he had no loan.
Identity property of multiplication repost:
ReplyDeleteOn Friday afternoon, Jimmy and his friends played a game of poker. Jimmy had $20 to start with. He thought he would win some money and the double the amount he had. But Jimmy didn’t win or lose any money. His losses and his wins cancelled each other out. Instead of doubling his money (multiplying by 2) he maintained the same amount (multiplied by 1).
Erica & Yumi
ReplyDeleteYour Commutative Property example does not change order when it should, and the Associative Property example should not change order, just be grouped differently. I like the Multiplication Property of Zero example. No effort equals no completed homework!
David & Jessica
Your second post saved you. Way to catch your mistake! I like the Identity Property of Multiplication with the different book genres.
Clare & Michelle Kim
I love your Identity Property of Multiplication example! I love the similarities to Alice in Wonderland! Very creative!
Kevin & Anna
I like your Multiplication Property of Zero example! The wind is a great representation of zero.
Jessie & Phillip
I really enjoyed your Commutative Property and Multiplication Property of Zero examples! Very creative demonstrating multiplying by zero by using the fundamental counting principle (we’ll learn this later in Chapter 12).
Alie & Jin
Your Inverse Property of Addition example was incorrect (it would have worked for Identity Property of Addition). I like that example with the apples, though (if it were for Identity Prop.)! I also liked how the fire represented zero in your Multiplication Property of Zero example.
Chloe & Kai
Great examples! I especially liked your Inverse Property of Addition example with the bonus problem on the test.
Michelle Bae & Dohee
Your Commutative Property example with the stations was great! Also, I liked the Multiplication Property of Zero with the eraser.
Emily & Steve
Very creative examples and nice back story! The love triangle was captivating. :)
Victoria & Doohwan
I love the Inverse Property of Addition example with the equally-skilled soccer teams! Your Identity Property of Addition does not work though because they should end with the same amount of people, not change to zero.
Ina & Junsu
I do not understand your Identity Property of Multiplication. Does this mean that when he sucked up air once and nothing happened, that he remained the same? I really like your idea using the concept of loans in your Inverse Property of Addition example!