Recent Tutoring Session Reviews
"The student and I spent this session working through the Conics chapter in his textbook. We talked through the general quadratic equation and then worked problems specific to circles, ellipses, hyperbolas, and parabolas. He was able to quickly grasp the concepts and equations and applied this knowledge to the example problems with ease."
"The student and I worked to build a study guide for his conic sections test. I explained the different functions to him and had him write down key information he would be required to know. In addition, we also covered eccentricity, and I taught him tricks for memorizing certain things, such as: "transverse goes through t" and "conjugate goes through c"."
"I helped the student review more logarithmic problems for her test. We did a few worksheets that she had and I think that by the end of the session, she felt a lot better about the material. Specifically, we went over the various properties of logarithmic expressions, and how they can be used in different combinations to help her solve her problems. She has a very good intuitive sense of the theoretical concepts. At the end of the session, we went over some problems that she could do by herself to prepare more for her test."
"This week, we covered how to calculate the instantaneous rate of change and how to estimate the instantaneous rate of change using a graph. Overall, the student grasped these problems well and, by the end, understood the basic methodology to solve these types of problems. The strategies we used were to always find the initial and final values and the (y-y)/(x-x) equation to find the rate of change. We also covered a topic that was going to be discussed in her class the following day, which was how to estimate the shape of derivative graphs. She understood this concept very well, so it should give her a head start on some of the new material. The previous week she got 100% on her quiz, indicating that she understood the topics of compound interest, doubling time, and rate of decay. This session went very smoothly, and by the end, I think she understood the topic well."
"We reviewed using the unit circle, arc length, phase shifts, and frequency relations. Throughout the session, I quizzed the student on the formulas for arc length, period and phase shifts, and common unit circle values. She has demonstrated solid skills when working through these type of problems in our meetings."
"We met and went over her math background, and I gave her mine. We then talked about what she wanted to focus on, her end goals, so we could accomplish them together. Afterward, we redid one of her quizzes to prepare for the test."
"We worked on limits of functions as they approached specific values and as they approached infinity. We also dealt with continuity and the different types of discontinuity. The session went well. There were a couple of limit problems that we need to revisit."
"We covered vectors, the component form of a vector, and magnitude. We also reviewed some geometry concepts, particularly Soh Cah Toa. Afterward we went over the student's third problem set. He has a good understanding of vectors after our session. At this point, he knows how to solve all three problem sets, which covers all of the material for the remainder of his class. He just needs to keep practicing and he should be set to finish the semester strongly."
"Having taken the quiz on polar coordinates and polar graphs, the student has moved into the chapter on solving multivariable system of equations. He used elimination and substitution to solve systems of 3 equations/3 variables. He also solved systems that were not discrete and that had fewer equations than variables. He understood the concepts having had reviewed system of equations last year in algebra 2."
"The student's pre-calculus class just started probability. They had been previously working on probability of independent events. Today they started permutations, and probability of events including permutations. They also started conditional probability. We made it through two homework assignments together, and I made sure we worked slowly through the permutations."
"The student and I reviewed some topics that he learned earlier this year, but hasn't seen recently. We talked a lot about how to determine a function's domain and range, and how to apply transformations onto a function. We also reviewed what various types of functions look like when they are graphed."
"The student and I prepared for his upcoming quiz by doing some practice problems. I then gave him some problems of my own which were more involved, to simulate the types of questions he will see on his quiz. He has a strong understanding of the material and should do well."