This week in AP Calc, we studied limits some more and we also discussed continuity. After taking the quiz on limits, I realized how easy it is to make little mistakes if you don't check your work closely and look over your work two or three times. There were a lot of little misconceptions I had while taking the test, but when I got the test back I realized what the mistakes I made had been, and I understood what I had to do to fix my mistakes.
I really like the idea of the mastery papers we are able to do to get points back on a test. Usually on a test if I get a question wrong, there's no "second chance", if you will, and therefore, I never really stress the importance of actually understanding the concept that I missed points on. The opportunity to fill out a mastery paper and perform a mastery allows me to actually grasp the math that I didn't originally understand which is the whole point of taking a test in the first place.
Aside from re-visiting limits and taking the test on limits, we also learned continuity. I think that as of right now I have a pretty solid grasp on continuity. I understand the three prong process used to determine continuity, and what makes a function discontinuous (below).
I really like the idea of the mastery papers we are able to do to get points back on a test. Usually on a test if I get a question wrong, there's no "second chance", if you will, and therefore, I never really stress the importance of actually understanding the concept that I missed points on. The opportunity to fill out a mastery paper and perform a mastery allows me to actually grasp the math that I didn't originally understand which is the whole point of taking a test in the first place.
Aside from re-visiting limits and taking the test on limits, we also learned continuity. I think that as of right now I have a pretty solid grasp on continuity. I understand the three prong process used to determine continuity, and what makes a function discontinuous (below).
What I did find challenging while learning about continuity this week were the salt and pepper functions (below). I get the gist of the salt and pepper functions for the most part, but I think when I was answering the questions on the packet, I may have been reading in to the questions too much. Sometimes, I force myself to think that the answer to the question is much more complex than it truly is. Hopefully, the more I practice and become familiar with the salt and pepper functions, the easier they become for me to understand.