1. Describe the task or activity that you were working on.
In this activity, we were told to use the formula x/2 + 5. Each answer we got, we'd plug into X. For example, we start with 20, divide by two, add five, get 15, divide 15 by two, add five, so on and so forth.
2. How is your work here representative of this habit? Identify specific parts that show the "habit in action."
My work here is representative because I test this formula extensively. I began to notice that the numbers would go on and on and closer to 10. I reasoned that the numbers would get closer to 10 because 10 is an infinite loop, thus anything lower than 10 would get higher, and anything higher than 10 would get lower. Unfortunately, it would get to the point of 10 because we'd get to something like 9.999... and no matter how many time you divide by 2 and add 5, it will never equal 10. When we were given the chance to experiment a little more, I tested two formulas: x/5 + 2 and x/2 + 5. The answer from the first formula would plug right into the second one, or switching. This turned into a rather interesting pattern. I started with 20, got 6, then 8, 3.6, 6.8, 3.36, and so on. I never got to a point that it stopped, but it was still a cool pattern.
3. (Answer one) How was this habit useful in helping you make progress with the task or activity? If it was not useful, how might you revise your use of this habit so that it was useful?
This habit was useful because I did extensive testing which helped me find out the source of the pattern. Had I not tested, I would not have understood the essence of this problem. This habit helped challenge my mind, as I got answers I hadn't predicted.
In this activity, we were told to use the formula x/2 + 5. Each answer we got, we'd plug into X. For example, we start with 20, divide by two, add five, get 15, divide 15 by two, add five, so on and so forth.
2. How is your work here representative of this habit? Identify specific parts that show the "habit in action."
My work here is representative because I test this formula extensively. I began to notice that the numbers would go on and on and closer to 10. I reasoned that the numbers would get closer to 10 because 10 is an infinite loop, thus anything lower than 10 would get higher, and anything higher than 10 would get lower. Unfortunately, it would get to the point of 10 because we'd get to something like 9.999... and no matter how many time you divide by 2 and add 5, it will never equal 10. When we were given the chance to experiment a little more, I tested two formulas: x/5 + 2 and x/2 + 5. The answer from the first formula would plug right into the second one, or switching. This turned into a rather interesting pattern. I started with 20, got 6, then 8, 3.6, 6.8, 3.36, and so on. I never got to a point that it stopped, but it was still a cool pattern.
3. (Answer one) How was this habit useful in helping you make progress with the task or activity? If it was not useful, how might you revise your use of this habit so that it was useful?
This habit was useful because I did extensive testing which helped me find out the source of the pattern. Had I not tested, I would not have understood the essence of this problem. This habit helped challenge my mind, as I got answers I hadn't predicted.