Recent Tutoring Session Reviews
"Today we covered mostly logarithms and exponentials. The student wasn't particularly struggling with anything, however there was clarification on what defines a natural logarithm and logarithm rules. Additionally, we looked at an assigned project involving cost optimization, and talked about how to approach it. I encouraged him to attempt practice problems later in the day after the specific answers were forgotten to ensure memory retention. I have no major concerns from this session!"
"We worked on a couple new things tonight that the student has been learning in class recently. The first was going over arc length on a circle, and changing radians to degrees and vice versa. The second thing we did was go over triangles, particularly 45-45-90 triangles and 30-60-90 triangles. The student has made some serious progress in log and exponential functions; I could easily see that tonight. They have especially improved in expanding and condensing log functions, so I think they will do a great job on the test."
"We started by working through his homework for solving a system n of equations involving 2 variables. Many of the problems were word problems that required him to find the two equations from a given set of information. We reviewed a little chemistry: V1C1+V2C=V3C3, and he was then able to find the second equation and solve the system. We then started looking at how to solve systems of equations involving 3 variables using Gaussian elimination."
"We went over chapter 12.3 vector and parametic equations, explained all the book examples, and tried on some practice questions. In additional to that, we also went over a worksheet regarding chapter 12.2 on algebraic expression in vectors. We also did some additional exercise on parametric equations. The student also requested to go over a chapter 12.4 lesson since she won't be in class on Monday, so we went over the concepts in chapter 12.4 and did some concepts exercise for that session."
"We reviewed conics for the student's test on Tuesday. We went over writing hyperbolas, parabolas, and ellipses in standard for as well as determining foci and vertices from a given standard form equation."
"The student and I worked on solely trigonometric identities, applying those identities, and proofs. He understood the process of verifying the equations and understood the work steps. He had a great attitude as always. I included a strategy that he had kept with him since our first session. That strategy was to only remember one trig identity which is cos^2(x) + sin^2(x) = 1. From that one identity, you can derive the other two trig identities that refer to a triangle (or unit circle). I asked him how he did on his pre-calc final and he said it went well and that he did much better on the short answer than he did on the multiple choice half of the final. I could tell by the end of the session that he had a much better understanding of his homework assignment than coming into the session. He had completed nearly half of the assignment with his teacher. As expected, this was another winning session."