P.O.W. 1: Project Reflection
Problem Statement
The present problem was to find all the whole numbers between from 1 to 25 using four 4’s. These 4’s could be used to create any possible operation. For example one of the 4’s could be used as a denominator, a factor, or a factorial. So, if you needed to get the number one, you could use the 4’s like this: 44/44. Process Description This problem was pretty tough at first. At the beginning, I thought four was only the limit of 4’s you could use, not the necessary amount. Because of this I had to start over when I thought I was half way done. Afterwards. This got me all the number 2 to 10, 12, 14, 15 to 18, 20, 22, and 24. I got the numbers 19, 21, 23, and 24 by using 4!, and adding or subtracting from that factorial. All I had left were 11 and 13. I was stuck, until I realized I could use the number 44. After I figured this out I used the equations 44/4/4 and 44/4+4 to find 11 and 13, respectively. |
Solution |
Self Assessment and Reflection
I think I did a really good job on this. I feel that I challenged myself and I managed to explore this problem thoroughly. I was persistent even when I struggled, and I was able to learn more about factorials when working on this fun problem. Due to these reasons, I’d honestly give myself a 10/10. During this problem I was able to use the habit of a mathematician “Be Confident, Patient, and Persistent”. I used this habit when I was stuck on many problems. Even though these problems took me a while, I never gave up. 11 and 13 were the hardest, and I kept on working on them, despite it taking me over 30 minutes. This habit will be useful for every job. There will be long periods of frustration in whatever you do, and if you are confident, patient, and persistent, you will be able to come these obstacles.
I think I did a really good job on this. I feel that I challenged myself and I managed to explore this problem thoroughly. I was persistent even when I struggled, and I was able to learn more about factorials when working on this fun problem. Due to these reasons, I’d honestly give myself a 10/10. During this problem I was able to use the habit of a mathematician “Be Confident, Patient, and Persistent”. I used this habit when I was stuck on many problems. Even though these problems took me a while, I never gave up. 11 and 13 were the hardest, and I kept on working on them, despite it taking me over 30 minutes. This habit will be useful for every job. There will be long periods of frustration in whatever you do, and if you are confident, patient, and persistent, you will be able to come these obstacles.