In this POW, a designer had to figure out how many 3 x 5 inch patches he could cut from a 17 x 22 inch piece of satin. We had to draw out diagrams of the large piece of satin on graph paper and section off 3 x 5 inch pieces of it until there was not enough space to fit another whole 3 x 5 in. patch in the 17 x 22 inch piece of satin. Then we had to figure out how many different size patches could be utilized from different sized pieces of satin.
My process involved a lot of conjecture and test because I used graph paper to help me draw accurate outlines of the pieces of satin. I did this for all problems. For the first question, I drew out a 17 x 22 inch rectangle and inside of it, I drew smaller 3 x 5 inch rectangles until I could fit no more 3 x 5 inch rectangles inside of the 17 x 22 in. rectangle. Then, we had to see how many 9 x 10 inch rectangles we could fit in the large one, then 5 x 12 inch, then 10 x 12 inch patches. I repeated the same process that I did for the first one for all of these because it seemed to provide accurate results after a few attempts.
The answer that I got for the first question, after a few attempts and improving the placement of the 2 x 5 inch patches, I figured that a total of 24 pieces of satin could be cut from the larger 17 x 22 inch piece of satin. When cutting the large piece of satin by 9 x 10 inch and 10 x 12 inch, I only found that two could be cut. When cutting 5 x 12 inch patches, 5 could be cut. As for number three, when cutting 3 x 5 inch patches.
Graphs:
My process involved a lot of conjecture and test because I used graph paper to help me draw accurate outlines of the pieces of satin. I did this for all problems. For the first question, I drew out a 17 x 22 inch rectangle and inside of it, I drew smaller 3 x 5 inch rectangles until I could fit no more 3 x 5 inch rectangles inside of the 17 x 22 in. rectangle. Then, we had to see how many 9 x 10 inch rectangles we could fit in the large one, then 5 x 12 inch, then 10 x 12 inch patches. I repeated the same process that I did for the first one for all of these because it seemed to provide accurate results after a few attempts.
The answer that I got for the first question, after a few attempts and improving the placement of the 2 x 5 inch patches, I figured that a total of 24 pieces of satin could be cut from the larger 17 x 22 inch piece of satin. When cutting the large piece of satin by 9 x 10 inch and 10 x 12 inch, I only found that two could be cut. When cutting 5 x 12 inch patches, 5 could be cut. As for number three, when cutting 3 x 5 inch patches.
Graphs:
During this POW I learned how to find the amount of a substance can be put inside another substance, without necessarily having to use the volume formula. If we did use the volume formula, we would end up getting too large of a result than what we were looking for, and would not get the correct calculation. I think that I deserve a 10/10 because I tried very hard on this problem and really looked for different ways that I could approach the problem. One Habit I utilized in this POW is Conjecture and Test because it took a lot of trial and error to figure out the maximum amount of patches could fit inside of the larger piece of material.