Essentially, the past week (a.k.a. three days; yay for snow days!) we have been discussing ways to find the area underneath the curve. Aside from the MRAM, RRAM, AND LRAM that we have already talked about, we are learning different methods and ways to reason our answers.
This unit seems to be somewhat short, but is conceptually slightly more taxing on the mind. For me personally, I have to think through the problems pretty slowly and meticulously to ensure that I am fully understanding them and correctly answering them.
Being given the formula, obviously helps with understanding how to find the area from [a, b] of f(x) under the curve. Also, utilizing the fnINT function on the graphing calculator helps to find answers.
However, the more challenging problems are the "compound problems" in which multiple rules (below) are used within one problem. Today, we were practicing solving for the area under the curve of problems where the bounds change as well as the function. At first, it was somewhat conceptually difficult for me. But, as we continued to do it, I really got the hang of it. I felt as if looking at it from a graphical standpoint made it significantly easier to understand than viewing the problems from a calculus standpoint. I think reasoning your way to the answer is the hardest part of the problems, but if you manipulate the problem enough and draw it out it becomes much easier to find the answers you're looking for.
This unit seems to be somewhat short, but is conceptually slightly more taxing on the mind. For me personally, I have to think through the problems pretty slowly and meticulously to ensure that I am fully understanding them and correctly answering them.
Being given the formula, obviously helps with understanding how to find the area from [a, b] of f(x) under the curve. Also, utilizing the fnINT function on the graphing calculator helps to find answers.
However, the more challenging problems are the "compound problems" in which multiple rules (below) are used within one problem. Today, we were practicing solving for the area under the curve of problems where the bounds change as well as the function. At first, it was somewhat conceptually difficult for me. But, as we continued to do it, I really got the hang of it. I felt as if looking at it from a graphical standpoint made it significantly easier to understand than viewing the problems from a calculus standpoint. I think reasoning your way to the answer is the hardest part of the problems, but if you manipulate the problem enough and draw it out it becomes much easier to find the answers you're looking for.