Go to the Wiki and add a major post and a minor post. Then work on your POW.
Yes, you do have very, very talented classmates, but what is their "magic"? How did they know your birthday? Your task today is three fold.
First: Explain how they knew your birthday.
Next: Prove that your theory is correct in some mathematical manner.
Finally: Extend the magic. Create your own mystifying "trick".Post of of these on the blog so we have a "bag of tricks."
One week and counting until Spring Break! :-) Have a great weekend!
Ms. L.
Maybe this will help! Here are the cards.
27 comments:
K.A.
I can’t believe I didn’t get it earlier it’s so easy. Even so it’s like a trick question, since all of our P.O.W.s are hard and we’re just thinking too hard. You add the first number in the top left corner on each card your birthday date is on. Whoever made those cards must have had a pain. Really tricky Ms. Leckman. =)
A.H.
They new the day of my birthday (15) because of the way that the boxes with dates are arranged. My birthday appeared on four of the five cards. This shows that My birthday only appeard on those four cards. They analyze the cards, and see which number is on the boxes that I picked and not on the ones that I didn’t pick. For instance:
There are five cards.
If 14 is on three of the boxes, it is not on two of them.
It is the job of the card – handler is to quickly identify which number this is.
For an easy example –
1 3 1 3 1 3 1 3
2 4 2 4 2 4 4 5
If these are the four cards, and somebody points to the fourth card only as the day of their, it is quick to realize that the only number on there not on the others is 5. The date is five. This applies to the larger cards, except that the number patterns are are more complex
:):):):):):):):):):):):):):):):):)
A.H.
IW
1) The ‘geniuses’ looked at the top left hand corner of the cards you chose, and they add them up.
2) This is correct because what if you pick 4 cards. The corners are 1,2,8,16. The birthday is 1+2+8+16 which is 27.
3) Have you ever wondered how to multiply any number by 5, SUPER EASY!? All you have to do is divide the number by 2 and multiply by 10. such as 50/2=25*10=500. It is that simple.
IW
E.Mu.
In order to know my birthday, once i picked all the cards that had my birthday on it.
The "magincian" then added all the number at the top left hand corner together to get my birthday.
my birthday is 27, the numbers in the top left hand corners are 16, 2, 8, and 1. 2+16+8+1=27
2+16=18
18+8=26
26+1=27
K.B.
The trick works because the numbers are arranged so that the birthday is only on certain cards. Then with the picked cards you add up the totals of the top left hand corner. These will always add up to the person’s birthday.
For example my birthday is on the 24th. The cards that are have my birthday on them have 16 and 8 in the top corners. That can be shown as 16+8=24
24=24
The cards will always work because they have a certain arrangement that makes the cards add up to their birthday.
AR
The "trick" that my classmates figured out what my birthday was by making you choose the card that had your birth date on them and add each top left hand corner. I had two cards and the two numbers in the top left corners were 16 and 8. So if you add 16+8, that equals 24, which is my birth date!
A.H.
The way that you know which number is your birthday is to simply add the first number on each of the selected cards. For instance, if the first cards first number is 6, and the second cards second number is 4, then the date will be 10. This is the simplest form to do it. However, there is a more complex method to do it.
The more complex method requires the card – handler to analyze the cards, and see which number is on the boxes that I picked and not on the ones that I didn’t pick. For instance:
There are five cards.
If 14 is on three of the boxes, it is not on two of them.
It is the job of the card – handler is to quickly identify which number this is.
For an easy example –
1 3 1 3 1 3 1 3
2 4 2 4 2 4 4 5
If these are the four cards, and somebody points to the fourth card only as the day of their, it is quick to realize that the only number on there not on the others is 5. The date is five. This applies to the larger cards, except that the number patterns are more complex
:):):):):):):):):):):):):):):):):)
A.H.
M.G.
This weeks POW asked us to find out how my classmates were able to find my birthday. They had 5 cards with numbers in squares on each card, you had to pick the cards that had your birthday and then they could figure it out. We had to find a mathematical way to figure out how to do it. The students knew how to find the birthdays because they added the top-left corner from the cards they picked.
For Example:
top left is 1
top right is 2
middle is 3
bottom left is 4
bottom right is 5
Say you pick card numbers bottom right, top right, and the middle.
You would add the top-left corners which are: 2+16+8=26
And so 26 would be the day of my birthday.
RS
Their "trick" works like this: They give you the cards to choose from. Then when you pick them, they add up the # on the upper lefthand corner of every square that you picked. That is how they get the date of your birthday. Say yur birthdat was the 5th. There are only two cards that have the # 5 on them. The lefthand corner # on both of them is a 4 and a 1. That adds up to five.
K.T.
They found out our birthdays by adding together all the numbers in the left hand corner of the squares that had the numbers of our birthday on them. For example, my birthdays on the third, so there are two cards that have a three on them. So you add together the numbers in the left hand corner which are 2 and 1. so 2+1=3.
C.V.D.V
The way my friends found out what birthday I had is they knew that someway of figuring out what numbers were on the cards without going through the cards individually and found the numbers that the cards had in common. What the “magicians” were doing was adding the first number on each of the cards together. I noticed that all the magicians usually ordered the cards in the same order: numerically by the first number on the card.
Now my birthday is on the 9th. So I pick 2 cards one of the cards starts with 1 and the other with 8 these cards both have 9 on them. This will work with any combination of cards
C.V.D.V.
JJ
This is how they figured out my birthday. They took the number on the top left hand corner of the card that contained your birthday and added them together. For example my birthday is the 14th and 14 was on three of the five cards. The #s on the top left hand corner were 8, 2, and 4 which equals 14. The theory is mathematical because there is a method. The sum of the top left hand corner #’s of the square that contains my birthday. The #s are arranged in a way that this is true. Here is another trick: If you put the #s of the top left hand corner and put them on the bottom right hand corner and change birthday to your age it will work.
When they first did the trick to me I knew they did something. Then I asked someone to do it to me again. Then I noticed that you are supposed to add the first number of the square. To make sure this was true I asked Kyle to try it on me again and then I picked a random number. When I picked the random number I watched the first number on all the squares I picked and it added up to the number I picked. So if I picked the number four there is only one square with the number four on it and it was the first number on the square so they knew that I chose four.
E.Ma
DG
This week some of my classmates took five cards of random numbers and asked me to choose the cards that contained the number of my birthday. Their task was to figure out the day of my birthday. Each classmate was able to choose the correct date.
My classmates knew my birthday because they added each of the number in the top left corner of each of the cards that I picked and the sum added up to my birthday.
For example:
My birthday is the 30th of December and 4 out of the five cards had 30 on them. The numbers on the corners were 4,16,2,8 and the sum of these numbers is equal to 30.
MS
How did they know my birthday?
For the birthday you pick, there may be a certain number of cards with that number on it. You add the numbers in the top left corner of every card with your birth date on it. And that’s it, that’s how it works.
Prove it:
X=number in the corners (possibly x+x, x+x+x, ECT.)
Y=your birthday
X=Y
My b-day
(4+16)=20
D.M.
The POW for this week asked us to figure out how kids in our class were able to figure out our birthday. They had five cards and we had to find out how they knew our birthday. The answer lies within the cards themselves. The reason they knew our birthday would be that they would have to add the top-left hand corners to solve the day.
An example is…
Top-left is card one Top-right is card two
Middle is card three
Bottom- left is card four
And bottom right is card five.
Now let’s say I have a number on the first, third, and fifth card. When you add the numbers in the top left hand corners, 4, 2, and 8, you get the number 14. Now if you have a number on card two and card three, the answer has to be 18 because 2+16=18.
L.N.
The "magical" cards aren't so magical after all. They knew my birthday by adding up all the numbers in the top left hand corner of each card I selcted.
For example, my birhtday is on the 20th of December so i picked each card that had the number 20 on it. There were only two cards that had the number 20 on them. So they added the two numbers in the top left-hand corner and they arrived at the sum of 20. That is how they knew by birthday.
d.c.
the "magic" in this trick is you are adding the numbers in the top left hand corner of each selected card. so for example if the cards that they picked had 1, 8, and 16 there birthday would be the 25th.
DGT
This problem was actually quite simple. After a few minutes of brainstorming with myself, I determined the way they solved this. Below is how it is.
They solved it by finding all the cards that had your birthday on it, then get rid of the rest of the cards. They then add the two numbers on the left hand corner of all the remaining cards, and that equals out to your birthday.
There was two cards that had my birthday, the sixth.(6)
The left hand number on the cards were 4 and 2.
4+2=6.
JB POW
What my classmates did to know my birthday which is the twenty eighth was very simple, they just simply looked at the cards that I chose. When they did this they looked at the cards that I didn’t choose. They looked for the number that was on the cards that I chose that wasn’t on the cards that I didn’t choose. Because the same number can’t be on all five cards, it can be on two or three but it can’t be on all five. For example my birth date was on three out of the five cards that I could choose. So they looked for the number on the cards chosen that wasn’t on the cards that weren’t chosen.
P.O.W. March 7, 2008 J.K.
To solve for someone birthday based on which cards they picked it is quite simple when you can use common sense. Now let’s solve for the birthday.
If the person leaves out some cards then you automatically know that those numbers on the cards are not the person’s birthday cards, otherwise they would have picked them. So once you have those eliminated you have some other numbers that can be a possibility of being the person’s birthday. Now you need to begin to look at a number on one card and if it does not appear on all the cards then you eliminate it because if it wasn’t on a card that would mean that the person wouldn’t include it. So you go through all the numbers on one card eliminating them. After you get through one card you WILL only have one card number left, the person’s birthday.
P.O.W 3/7/08 HR
I chose a simple and fast way to solve the problem:
What I did first was asked the person to circle the entire box’s their birthday was in.
After that, I crossed out all the numbers in each of the box’s that we’re in the box he didn’t choose. Once I had crossed out all of those numbers I looked at what I had left. Then, I started eliminating the numbers that were not in the entire box’s he circled. Once I had eliminated all the numbers that weren’t in the entire box’s I was left with 2 numbers. Last I found the number out of the two, which was in every box.
Johnny’s birthday fall’s on the 30th!
1. My classmates (except for C.H.) knew my birthday because the number that it is only on the card(s) I selected that had my birth date on it and not on any of the cards I didn’t pick.
2.The number that you choose is only on the cards you picked and not on any of the cards that you didn’t pick.
3.Odd or Even The game
First you must pick a card(s) that have your number of choice on it and say if the number is odd or even. Then the other player finds the number by finding the number
SV
The person who knew my birthday knew because there is a pattern on the cards. If you add the number in the first box on every card the person chooses, it equals their birthday.
If someone chose cards that had 7, 4 and 1 in the first boxes, I’d know their birthday is the 12th because 7+4+1=12!
My magic trick:
1. Ask a member of the audience to choose a number between 1 and 20.
2. Ask them to double the number in their head.
3. Add 6 and divide by 2.
4. Subtract the original number from the new number.
5. Pause for suspense and announce that the number is 3! Try it with any number. The answer will always be 3.
P.O.W
R.B.
1. The way the “magic” worked was easy to figure out if you just looked at it for a while. My “smart and magical” classmates just added up the number in the top left-hand corner of all the cards that had your birthday.
2. My birthday is on the 22 so I added up all the cards number in the top left hand corner and I tried every single number on the cards and it worked.
3. Here is a cool math trick I found out from my friend.
I. Grab a calculator or get ready to write this all out.
II. Key in the first THREE digits of your telephone number (BUT *NOT* THE AREA CODE)
III. Multiply by 80
IV. Add 1
V. Multiply by 250
VI. Add last 4 digits of your telephone number.
Ex. +1893 not 1+8+9+3.
VII. Add the last 4 digits of your telephone number again
VIII. Subtract 250
IX. Divide number by 2
Do you recognize the number?
It should be your telephone number.
1. They know my birthday by me picking a card, and the cards have numbers other cards don't, like a form of sudoku.
2. It is correct because when we pick a card the however many cards I pick, it eliminates numbers that are on other cards.
3. I have a card trick, you take 4 kings, 4 queens, and 4 jacks, and 4 aces. You take all of them in their clubs, then from there you have to put them in order, king, queen, jack, and ace.
When you hvae them you put them all together in 4 piles. And then you put the four piles into one but dont mix up the cards.
You cut the cards four times, then lay them down into four piles in order. Then when you flip them over all
the kings will be in one pile, queens will be in one pile, and so on.
1. They knew my birthday because if you add all the cards’ first numbers in the top left corners, it all adds up to be the birthday.
4 5 6 7
12 13 14 15
20 21 22 23
28 29 30 31
8 9 10 11
12 13 14 15
24 25 26 27
28 29 30 31
2. If you add 4 and 8 together on the cards. It equals 12 which is the birthday.
EMK
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