Examples Of Pow 10 Possible Patches
POW 10: Possible Patches Problem Statement: The story in this POW goes that there is a girl named Keisha that is making a patchwork quilt, it will be made of rectangular patches. Keisha finds a piece of satin that’s dimensions are 17in by 22in. Our goal is to try to get the most from the piece of satin, in other words try to get as many rectangular shapes from her piece of satin. The rectangular shapes have to be 3in by 5in. Check out http://minorleaguegamer.com Process: The methods used on this problem: In this problem I took both a geometrical and mathematical approach to the problem. My first method was to divide up each side so that I could get as much rectangles on each side, for example for the side with 22in I would type
this in to my calculator: (22 – 5 – 5 – 3 – 3 – 3 – 3 = 0) I did not find this out at first, it took a while till I got the correct amounts of “3s” and “5s” to subtract from the “22” that would equal “0” because I wanted to be efficient and fill up as much as a I could in that line. I did the same thing for the side with 17in. However I noticed that when I moved on to the next question in the POW it asked me to try different sized rectangular shapes, that’s is when I noticed that I could not make it equal “0” so I just settle for the smallest number I could get. The second method I used to try to figure out this POW was to; after I filled the sides with shapes, fill in the middle by, just like in the first method, dividing the remaining spaces and trying to get the most out of the remaining space. The third method was a way of checking that there was no more pieces I could use, what I did was I counted how much spaces where left, then counted how many spaces it took to fill up the rectangle. If the amount of spaces left exceeded the amount it took to fill the rectangle I would double-check to make sure there wasn’t another I could put in there by rearranging the shapes in a different way. However with other sized shapes this method would not work because I could not physically put another rectangle in there because of their dimensions without altering it in some kind of way. Results/Solution: Question #3: She would be able to get three 3” by 5” patches from her 4” by 18” piece of satin. She would be able to get four 3” by 5” patches from her 8” by 9” piece of satin. Evaluation: I felt like this problem was educationally worth while because it helped out me by giving me a broader understating of area and of its efficiency, so this may come in hand in the future. I felt like this problem was right in my range of difficulty, in other words it wasn’t too “hard or too “easy”. Two issues I had with this problem were: One, the POW started out kind of vague on what we were previously doing with our class work. Two, the POW became repetitive because of the other sized shapes we had to do. Self-Assessment: I believe I deserve and “A” for this POW because I completed the entire POW and I gave complete answers to the questions that were asked. I also tried my best to justify my results and all of my other work.
this in to my calculator: (22 – 5 – 5 – 3 – 3 – 3 – 3 = 0) I did not find this out at first, it took a while till I got the correct amounts of “3s” and “5s” to subtract from the “22” that would equal “0” because I wanted to be efficient and fill up as much as a I could in that line. I did the same thing for the side with 17in. However I noticed that when I moved on to the next question in the POW it asked me to try different sized rectangular shapes, that’s is when I noticed that I could not make it equal “0” so I just settle for the smallest number I could get. The second method I used to try to figure out this POW was to; after I filled the sides with shapes, fill in the middle by, just like in the first method, dividing the remaining spaces and trying to get the most out of the remaining space. The third method was a way of checking that there was no more pieces I could use, what I did was I counted how much spaces where left, then counted how many spaces it took to fill up the rectangle. If the amount of spaces left exceeded the amount it took to fill the rectangle I would double-check to make sure there wasn’t another I could put in there by rearranging the shapes in a different way. However with other sized shapes this method would not work because I could not physically put another rectangle in there because of their dimensions without altering it in some kind of way. Results/Solution: Question #3: She would be able to get three 3” by 5” patches from her 4” by 18” piece of satin. She would be able to get four 3” by 5” patches from her 8” by 9” piece of satin. Evaluation: I felt like this problem was educationally worth while because it helped out me by giving me a broader understating of area and of its efficiency, so this may come in hand in the future. I felt like this problem was right in my range of difficulty, in other words it wasn’t too “hard or too “easy”. Two issues I had with this problem were: One, the POW started out kind of vague on what we were previously doing with our class work. Two, the POW became repetitive because of the other sized shapes we had to do. Self-Assessment: I believe I deserve and “A” for this POW because I completed the entire POW and I gave complete answers to the questions that were asked. I also tried my best to justify my results and all of my other work.