This week, we worked more with related rates and took the quiz on Wednesday. On Thursday, we had pancakes and bagels because this week is Ms. Krauss' last week. Even though I am excited to have Mr. Cresswell back and I have not known Ms. Krauss that long because I had Calc 3rd hour last trimester, I will miss her and I wish her the best in her future teaching career.
I really enjoy related rates and think this may be my favorite concept we have learned about so far in AP Calc. I like how they are challenging and how they incorporate almost everything that we have learned so far. I also think its cool how related rates problems connect to real life situations and can be used to find answers to real world questions and problems. One of my favorite related rates problems that we worked on was the one in which water is flowing into a conical tank. I feel that I understand related rates very well because I am able to solve this problem. I would say it is one of the more challenging ones because it requires an extra step.
I really enjoy related rates and think this may be my favorite concept we have learned about so far in AP Calc. I like how they are challenging and how they incorporate almost everything that we have learned so far. I also think its cool how related rates problems connect to real life situations and can be used to find answers to real world questions and problems. One of my favorite related rates problems that we worked on was the one in which water is flowing into a conical tank. I feel that I understand related rates very well because I am able to solve this problem. I would say it is one of the more challenging ones because it requires an extra step.
The strategy that helps me the most to begin solving these problems is writing down everything that I know from the problem and recognize what they are asking me to find. I then draw a picture and analyze it to find ways to solve for the missing information. The conical tank problem is more challenging than the others because it requires that we take an extra step to find what r is. To find r we can focus on similar triangles in the problem and create a ratio to plug into the equation so that we can solve for dw/dt, or the rate at which the water level is changing.
Having started the review assignment for chapter 4, I have realized how far back this chapter goes and how much material it covers. It makes me a little nervous that there may be a few things that I have forgotten, but I hope to find those things and make sure I have them down for the test when I finish the review assignment this weekend!
Having started the review assignment for chapter 4, I have realized how far back this chapter goes and how much material it covers. It makes me a little nervous that there may be a few things that I have forgotten, but I hope to find those things and make sure I have them down for the test when I finish the review assignment this weekend!