Pow 7- Extra Credit POW

7/23/2019 Pow 7- Extra Credit POW

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POW 7 Write-up

1. For this problem I need to find the the order of cards in which where the first card is put

face up will be an Ace, the second card goes on the bottom, repeat, until the cards

flipped over are in order from Ace to 10.

2. The process for this problem will take a little bit of effort because I need to redo the orderof the cards until they are in order. I know that because one card flips and one card goes

to the bottom again that the order may be a pattern.

I started by taking the whole 10 cards and dividing them in half, into rows, 5 cards on the top,

and 5 on the bottom,

I then laid them out, but they didn’t add up because each time I took a card from the deck, it

changed the whole sequence.

To try to get the cards in order, I switched the card I needed with the one I got. So if I got

A,2,3,4,5,6,8, I would switch 7 with 8 and try again.

I did this a couple of times, but I kept getting 10 instead of 9 and so I had to change the order,

I got, A,6,2,9,3,7,4,10,5,8,But the card needed to be switched between 9 and 10.

I changed it, and the cards came in finished in order with the pattern of:

A,6,2,10,3,7,4,9,5,8.

3. The solution to this problem is

A,6,2,10,3,7,4,9,5,8.

4. The answer was close to my prediction because the Ace -5 cards were alternating in between

the other cards such that it made the pattern easier to remember when I had to redo it. I had to

find the sequence of this problem by redoing it over and over, changing the cards as I went untilI found the sequence that when put on the table, went in order from A-5. After I found the

pattern of the cards, I redid the problem over again to make sure that it was correct. I’m quite

sure that I did the POW right and that I did it without errors and that if the cards were different,

such as involving kings, queens and jacks, I would be able to find the pattern for them as well

with a little bit of time.

Would the pattern be the same if the cards were supposed to be laid down in order from 10 to

Ace, or would the pattern be completely different?



Extra Credit Problem of the Week

Due Friday, December 11

*If you have not completed the minimum of two POWs a month, this POW will replace one of

your missing POWs and will not count as extra credit.

In rectangle and . Points and are on so

that and . Lines and intersect at . Find the area of

.

Understanding the problem:

For this problem I need to find the area of AEB, and to do this I need to find the side lengths

of smaller triangle FEG.

Process:I started by finding the length of the sides which I already know,

AF= 3.16

BG= 3.64

AB=5

FG=2

I then tried to find the area of the square to get a general idea,



5x3= 15

I know that the smaller triangle is similar to the larger one, meaning they have the same

angles and are the same shape but smaller.

Solution: I do not know the solution to this problem

Justification: I know that I do not have an answer for this problem, but I do know that

similar shapes have an equation that I could use.

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Pow 7- Extra Credit POW