## Pows That I Am Proud Of

The two Pows I am most proud of are pow 4, growth of rat population, and pow 2, Around King Arthur Table. Below are the two Pows and a description of why I am proud of them.

POW 4

Growth of rat population

John White

Math 3

11/28

Problem Statement:

For this Pow our task is to determine the growth of a population of rats in 1 year. We solve our problem by using the scenario of a ship that anchored on a deserted island. Two rats then find a way to exit the ship onto the island and decided to make it there home. Due to a plentiful food and no natural enemies the rats reproduce at a high rate and none of their offspring die within the first year. Overall, our main goal is to determine the exact amount of rats that will inhabit the island using the information of rats per litter and how often the female has a litter.

Visual representation:

4th-12

5th-21

6th-30

7th-73

8th = 129 + 7th--129 + 139 = 268

8th = 129

9th = 219

| Adult | Baby | Total m = 1st D + m(n-1) 974 total mice

1 0 1

1 3 4

1 6 7

1 9 10

4 18 22

7 36 43

10 63 73

Process:

For the process of this POW, I used dots to come up with my solution. I used the rule that one dot was equivalent to 40 days and 3 dots was equivalent to 120 days. Using the information of the number of females, males, babies, when they reproduce etc, I was able to find out how many total mice there were at the end of the year.

Solution:

Using the the rule of dots like I mentioned above, I was able to find the solution of the problem. Throughout the step by step process, I was able to come up with the final solution which I found to be 974 rats.

Evaluation:

Overall, I would say this Pow was pretty hard. I thought that it involved a lot of steps that were pretty hard. Do to the fact that there was so many rats to keep track of, I found it really hard to narrow it down to one solution causing me to redo it and try different techniques over and over. On the other hand, it was fun to a point to find different patterns to use to come up with the solution. Although I found it to be a little overwhelming, it was a useful and challenging process. All in all, it wasn't a bad POW, I just found it to be a little too hard for my liking.

Self Assessment:

Overall, I felt like I did a pretty good job on my pow. Because this was one of the harder POWs of the year, I felt like I worked particularly hard on it. I spent numerous hours coming up with a pattern to solve the problem. In relation to my hard work, I think I should receive a grade between an A to full credit.

I am very content with my work on this Pow not because of the solution I came up with but because of the time I put into it. I found this to be one of the most challenging pows I have done. At first I did not like how hard it was, but then I started to enjoy coming up with different patterns. In relation to the challenge it threw at me, I worked really hard on it which is why I decided to present it as one of the two Pows I am Proud of

Growth of rat population

John White

Math 3

11/28

Problem Statement:

For this Pow our task is to determine the growth of a population of rats in 1 year. We solve our problem by using the scenario of a ship that anchored on a deserted island. Two rats then find a way to exit the ship onto the island and decided to make it there home. Due to a plentiful food and no natural enemies the rats reproduce at a high rate and none of their offspring die within the first year. Overall, our main goal is to determine the exact amount of rats that will inhabit the island using the information of rats per litter and how often the female has a litter.

Visual representation:

4th-12

5th-21

6th-30

7th-73

8th = 129 + 7th--129 + 139 = 268

8th = 129

9th = 219

| Adult | Baby | Total m = 1st D + m(n-1) 974 total mice

1 0 1

1 3 4

1 6 7

1 9 10

4 18 22

7 36 43

10 63 73

Process:

For the process of this POW, I used dots to come up with my solution. I used the rule that one dot was equivalent to 40 days and 3 dots was equivalent to 120 days. Using the information of the number of females, males, babies, when they reproduce etc, I was able to find out how many total mice there were at the end of the year.

Solution:

Using the the rule of dots like I mentioned above, I was able to find the solution of the problem. Throughout the step by step process, I was able to come up with the final solution which I found to be 974 rats.

Evaluation:

Overall, I would say this Pow was pretty hard. I thought that it involved a lot of steps that were pretty hard. Do to the fact that there was so many rats to keep track of, I found it really hard to narrow it down to one solution causing me to redo it and try different techniques over and over. On the other hand, it was fun to a point to find different patterns to use to come up with the solution. Although I found it to be a little overwhelming, it was a useful and challenging process. All in all, it wasn't a bad POW, I just found it to be a little too hard for my liking.

Self Assessment:

Overall, I felt like I did a pretty good job on my pow. Because this was one of the harder POWs of the year, I felt like I worked particularly hard on it. I spent numerous hours coming up with a pattern to solve the problem. In relation to my hard work, I think I should receive a grade between an A to full credit.

**Why Im Proud:**I am very content with my work on this Pow not because of the solution I came up with but because of the time I put into it. I found this to be one of the most challenging pows I have done. At first I did not like how hard it was, but then I started to enjoy coming up with different patterns. In relation to the challenge it threw at me, I worked really hard on it which is why I decided to present it as one of the two Pows I am Proud of

## Second Pow Im Proud Of

Pow 2

John White

Per 4 math

9/10/17

Around King Arthur's Table

Problem statement:

For this POW we were given a scenario where a king known as King Arthur has a clever game with his knights that ends with one knight being the winner. His game involves a round table with a certain number of chairs. Starting in the knight in chair one, he says in, for knight in chair two out, chair 3 in and so on. He continues this process until there is only one knight left which would be the winner of a fabulous prize. Our task is to come up with a table with as many knights as we want and come up with a solution to determine which chair you would win if you were to sit in.

Visual:

In my scenario there are 6 knights.

1, in, 2, out, 3, in, 4, out, 5, in, 6 out.

Round 2

1, in, 3, out, 5 in

Final round

1, out, 5, in

Winner

Knight 5

Process:

In my process of determining the winner of 6 knights, starting out with knight one in, I made my way through the knights. I continued going around the tables eliminating every other knight until it narrowed down to one knight who would be the winner of the grand prize.

Solution:

After going around the table 3 times I determined that the knight in chair 5 would be the winner. As a result, assuming you new there was going to be 6 knights, you could use some simple math by visualizing what the pattern would go in and determine that you would be the winner of the grand prize by sitting in chair 5.

Evaluation:

All in all, I thought this was a very good POW. I really liked how it was the type of math problem that was challenging and involved thinking, but not an endless amount of steps like i've seen on previous POWs. I also liked how you could choose how hard or easy you wanted it to be by choosing your prefered number of knights. I would love if we continued to do these types of POWs in the future.

Self assessment: I feel that I have been more engaged in this POW than I have in POWs in the past. I would say for this POW I would give myself almost full to full credit.

What made me proud of this pow was my confidence in my solution. I was able to come up with a pattern to find the solution quite quickly. I also found it enjoyable because of the content. I really enjoyed finding different patterns in the pow and using them to find my final solution thus leading me to add it on my list for the pows i am most proud of.

John White

Per 4 math

9/10/17

Around King Arthur's Table

Problem statement:

For this POW we were given a scenario where a king known as King Arthur has a clever game with his knights that ends with one knight being the winner. His game involves a round table with a certain number of chairs. Starting in the knight in chair one, he says in, for knight in chair two out, chair 3 in and so on. He continues this process until there is only one knight left which would be the winner of a fabulous prize. Our task is to come up with a table with as many knights as we want and come up with a solution to determine which chair you would win if you were to sit in.

Visual:

In my scenario there are 6 knights.

1, in, 2, out, 3, in, 4, out, 5, in, 6 out.

Round 2

1, in, 3, out, 5 in

Final round

1, out, 5, in

Winner

Knight 5

Process:

In my process of determining the winner of 6 knights, starting out with knight one in, I made my way through the knights. I continued going around the tables eliminating every other knight until it narrowed down to one knight who would be the winner of the grand prize.

Solution:

After going around the table 3 times I determined that the knight in chair 5 would be the winner. As a result, assuming you new there was going to be 6 knights, you could use some simple math by visualizing what the pattern would go in and determine that you would be the winner of the grand prize by sitting in chair 5.

Evaluation:

All in all, I thought this was a very good POW. I really liked how it was the type of math problem that was challenging and involved thinking, but not an endless amount of steps like i've seen on previous POWs. I also liked how you could choose how hard or easy you wanted it to be by choosing your prefered number of knights. I would love if we continued to do these types of POWs in the future.

Self assessment: I feel that I have been more engaged in this POW than I have in POWs in the past. I would say for this POW I would give myself almost full to full credit.

**Why Im proud of This POW:**What made me proud of this pow was my confidence in my solution. I was able to come up with a pattern to find the solution quite quickly. I also found it enjoyable because of the content. I really enjoyed finding different patterns in the pow and using them to find my final solution thus leading me to add it on my list for the pows i am most proud of.