Recent Tutoring Session Reviews
"During this session, we reviewed how to work with the implicit equations for circles and ellipses. We talked about identifying properties of the shape from the equation (like radii, major and minor axes, centers, etc.). Afterwards, we did a preview of upcoming material on hyperbolae. We talked about how to graph a hyperbola, as well as how to identify key features like asymptotes and vertices."
"We did a lot of work today. She did great on the new material that I presented. We worked on the half angle formula and its properties, simplifying trig f(x)'s, and I started her on trig proofs. The proofs were to make her feel more confident with her identities, and she did excellent with them. We jumped ahead of her class, hence the proofs, since she did not have much homework that needed to be completed. I can tell that progress is being made."
"I covered inverse trigonometry in detail today with the student. For example, I went over how to solve problems that ask what is arcsin(1/2) and how that would give you an angle or a theta as an answer. I reviewed how to use triangles as a way to solve, which she struggled with. However, the method using coordinate points was much easier for her to understand. We went through several practice problems to solidify that concept. We reiterated the difference between regular sin and inverse sin so she would never forget. I believe she is getting much better at solving inverse trig problems."
"Today, we reviewed using the Law of Sines and the Law of Cosines. The student needed more review with the ambiguous case when applying the Law of Sines. She understands the law of cosines very well. We also spent time starting our review for her final. We reviewed finding coterminal angles, converting between radians and degrees, and linear vs angular speed. She remembers these well after the review."
"We covered parabolas, ellipses and introduced the standard form equation for circles. The student indicated she's having the most trouble with ellipses, but this is new information to her. She is doing very well with following the problems and standard equations. We did two problems using the practice problems on the platform, and she figured out the first one quickly after introducing the circle equation, which indicated that she got it. She was excited to get the answer accurately."
"The student and I covered more concepts with polar graphs. I made a flowchart on how to formulate an equation when given a graph, and once she was using that, she could get the equation in under 30 seconds, so if she can memorize it, that will help immensely on tests and quizzes. We then covered symmetry over each axis and around the origin, and we went over a few example calculations."