POW
The problem of the week is titled Dr. Drew goes bananas. This problem is basically Dr. Drew carrying bananas to a market to sell them. But there is a twist. Let's consider that Dr. Drew owns a banana farm which consists of 3000 bananas which is a lot of them. Then let's say there is a farmers market 1000 miles away from his farm. Sadly, Dr. Drew does not have a car and must walk to 1000 miles to the market. Walking can make you very hungry especially if you were to walk 1000 miles. But walking 1000 miles made Dr. Drew very hungry. He couldn’t travel one mile without eating a single banana. So this meant he would eat a banana for every mile he travels. But at the same time he could only carry 1000 bananas to the market with him. We the students are asked “How many bananas can Dr. Drew get to the market?”
I started by writing out the things and I knew such as how many total bananas he has (3000). He loses 1 banana every 1 mile he travels, I wrote the distance from his farm to the market (1000 miles). And I also wrote how many bananas he can haul in one trip (1000 bananas). I started by drawing out the problem with a line that was numbered 0 on the left and 1000 on the right representing the distance from his farm and the marketplace. I was able to arrive at the solution I got to by using a Habit of a Mathematician by taking this problem apart and putting it back together and also by looking at it from different angles. Once I finished the diagram I took 750 total bananas. 250 bananas to get there, 250 bananas to drop off then 250 bananas to get back. I then subtracted each which means I did this 3000-250=2750-250=2500-250=2250. The after that, you would take a total of 500 bananas, you would use 250 to get there, then get the 250 back from the 250 you dropped off earlier in step one, then from there you would travel to the half point mark which is 500 miles. This would mean you would take only 250 bananas because you are already at 250 miles to get there. You would then drop off 500 bananas and use the other 500 to get back to the farm. Which in total leaves you with only 1000 bananas left. Uh-oh! In order to get to the market you would need to take the 1000 bananas and bring them along. Once you get to the halfway mark of 500 miles you would have lost 500 bananas, but luckily you are able to gain back 500 bananas since you dropped them off in step two. From there you would go all the way to the market place leaving you with 500 bananas in total at the marketplace. My work for this problem is going to be shown below. My work displays 2 habits of a mathematician.
The problem of the week is titled Dr. Drew goes bananas. This problem is basically Dr. Drew carrying bananas to a market to sell them. But there is a twist. Let's consider that Dr. Drew owns a banana farm which consists of 3000 bananas which is a lot of them. Then let's say there is a farmers market 1000 miles away from his farm. Sadly, Dr. Drew does not have a car and must walk to 1000 miles to the market. Walking can make you very hungry especially if you were to walk 1000 miles. But walking 1000 miles made Dr. Drew very hungry. He couldn’t travel one mile without eating a single banana. So this meant he would eat a banana for every mile he travels. But at the same time he could only carry 1000 bananas to the market with him. We the students are asked “How many bananas can Dr. Drew get to the market?”
I started by writing out the things and I knew such as how many total bananas he has (3000). He loses 1 banana every 1 mile he travels, I wrote the distance from his farm to the market (1000 miles). And I also wrote how many bananas he can haul in one trip (1000 bananas). I started by drawing out the problem with a line that was numbered 0 on the left and 1000 on the right representing the distance from his farm and the marketplace. I was able to arrive at the solution I got to by using a Habit of a Mathematician by taking this problem apart and putting it back together and also by looking at it from different angles. Once I finished the diagram I took 750 total bananas. 250 bananas to get there, 250 bananas to drop off then 250 bananas to get back. I then subtracted each which means I did this 3000-250=2750-250=2500-250=2250. The after that, you would take a total of 500 bananas, you would use 250 to get there, then get the 250 back from the 250 you dropped off earlier in step one, then from there you would travel to the half point mark which is 500 miles. This would mean you would take only 250 bananas because you are already at 250 miles to get there. You would then drop off 500 bananas and use the other 500 to get back to the farm. Which in total leaves you with only 1000 bananas left. Uh-oh! In order to get to the market you would need to take the 1000 bananas and bring them along. Once you get to the halfway mark of 500 miles you would have lost 500 bananas, but luckily you are able to gain back 500 bananas since you dropped them off in step two. From there you would go all the way to the market place leaving you with 500 bananas in total at the marketplace. My work for this problem is going to be shown below. My work displays 2 habits of a mathematician.
This problem for me was more interesting than hard. I thought it was interesting because it was a multi step subtraction and addition problem. It made me think and go back to my work and the other previous steps to see if I was correct and made sure all my numbers added up and made sense. I feel like I could have put more effort in trying to find a number higher than 500 because I tried another way to see if there was something higher than 500 which I couldn’t. I also consulted with my peers who consist of Sydney L, Diego D, Karley S, Dylan L, Noah G, Cheyenne F, Matthew M, Libby H, and more. They ended up getting 500 or some other number. However some of them got over 500 but I did not want to copy them and their method. I feel like I could have took the challenge option but however I wasn’t to confident on my answer and knowing if it is the highest answer I could get. I learned that I usually like to look at things from a different point of view and break things into smaller pieces then put them back together which are both habits of a mathematician. I also learned that I am a visual learner, or at least that visuals can help me see and perceive the problem more clearly. Especially if they are drawn out which is also a habit of a mathematician. I feel like my areas of strength is getting the assignment done and comparing and contrasting with my peers and seeing what they did. Some areas for growth would be to take the challenge options in the assignment.