Recent Tutoring Session Reviews
"This session, we spent preparing for the student's upcoming quiz over solving trig equations and triangles. We started by doing her latest homework assignment, which included more problems from the same section as the last one (trig equations), as well as a few problems on the next chapter regarding Law of Cosines. The student seemed pretty comfortable with the latter topic, so we only worked a single problem together. After some guided help, she was able to understand the concept. We will work on more practice problems."
"We had a great session. The topic of the day was finding the angle which matches the inverses of trigonometric functions. She had some initial questions, but by the end of our session she had started her worksheet and was solving the problems without any assistance."
"We covered inequality solution domains, and rational functions. I guided the student through a couple of factorable quadratic expression in order to find zeros, then examined each factor to determine intervals that meet inequality requirements. I showed her a method of examining the signs of each factor then combining using separate number lines. She seemed to have a solid handle on these type of problems. We then looked at the parent rational function, and its behavior when x goes small and large. We reviewed simplifying a compound fraction, and looked at trends as x goes small to see why the function is undefined at 0. From here we explored asymptotes, using the same domain approach but with quotients. In more complicated rational expressions I showed how a slant asymptote can arise. At first she was unsure if an interval should be closed or open, but after a few practice problems she became very confident. The session ended well, and she was able to explain how to get an asymptote. I plan to review this content in our next session because there was a lot to cover."
"The student and I went over homework problems involving parabolas, including finding the vertex, focus, and directrix of the parabola, and sketching the parabola. By the end of the session, the student was able to solve the problems correctly."
"We worked on determining if a sum of a particular series converges or diverges. We first worked on determining what type of series we were working with (arithmetic, geometric, P series, alt, ratio, telescoping, etc.). Then we ran the proper test. We had to do some researching on the internet for assistance, and that proved very beneficial."
"The student has a test tomorrow on vectors, 2d and 3d. His teacher provided him with some practice problems as well as a list of everything he would need to know. We just went down the list and did every problem, and made sure that every type of problem he would face was on his note sheet. He has gotten better at doing the imaginary numbers in trig form problems. I am very optimistic about this upcoming test."