Recent Tutoring Session Reviews
"We went over the entirety of a logarithm review sheet, covering logarithmic functions, exponential functions, natural log equations, exponential modeling, associated word problems, and more. The student was pretty adept at grasping the concepts; she needed minimal prompting on a few questions that we worked out together. We will continue to review these concepts in the next session, before her upcoming test."
"The student informed me that she got an A on the quiz for which we prepared last time, so the session started on an especially good note. We then worked on u-substitution problems. We discussed various tips to make the process quicker. We also did a trig problem. We ended the session by going through it slowly and learning various memorization tips. For next session, we will begin with a unit circle quiz."
"She just completed two tests for physics and pre-calculus, so we went over both of them. We made a resolution to go over algebra II material next week, since rotating conics will have a lot of this math involved."
"The student scored 82% on her makeup test, and 100% on her current quiz. Enthused after those high scores, we worked on her current material which covers chapter 6. We spent most of our time on her homework, which covers sum and difference trigonometric identities and manipulations. She struggled a little but with more practice it will click. We also quickly covered double-angle trigonometric identities which she mastered quickly."
"We went over piece wise functions and domain restraints, as well as translations on functions. The student seems to improving on his homework quite a bit from when we first started. There were just little concepts that he struggled with, but they were easy to clear up."
"We covered material that the student was uncertain about for her first test of the year (tomorrow). She seems fairly comfortable with a lot of the material and the background. She primarily had questions about transforming functions (e.g. "draw y = 3*f(x) given the graph of f(x)") and combining functions (e.g. "draw y = f(x) + g(x) given graphs of f(x) and g(x)"). We also spent time on what a function's inverse is and its properties (e.g. "if f(x) is the inverse of g(x), then g(f(x)) = x and f(g(x)) = x"). She has a decent grasp on most of the material but was uncertain about some of the terminology and implications of a few concepts' mathematical properties. Additionally we spent time on a couple example word problems and discussed strategies for solving word problems in general."
"The student and I looked over his new homework for this weekend as well as some of the topics he will be covering next week. He is working on exponential growth and decay, as well as knowing how to write functions for exponential models. He did pretty well with this, and knew how to do most of the problems. We went ahead to look at logarithmic functions and natural logs. He may have gone over these topics before, but I pointed out some of the definitions and explained generally how they work. We then went back to some assignments related to growth and decay. Some of the questions had to do with bacteria growth and deer populations, both of which used similar models. He generally grasps the concepts, but can use some practice."
"During this session we covered rationalizing, simplifying numbers to not have a negative exponent, and evaluating roots. He received an 80 on his first quiz (taken before we had a session). I found that the student wasn't struggling too much with the math, just with making sure he carried over things like negative signs from one step to the next which would greatly affect his answer. He had another quiz the following day so I did not leave any extra practice. No concerns from this session."
"We went over trigonometric ratios. The student was given right triangles and the length of one side, and the trigonometric ratios of the triangle. He was expected to find the lengths of the other sides of the triangle. We also went over radians and negative degrees."
"Reviewed interval notation and used it to express the solution sets to various inequalities. Also covered increasing/decreasing intervals by inspecting provided graphs of functions. Discussed the concepts of relative minima and maxima, as well as their absolute counterparts. Finally, reviewed functions as a relationship between input and output values and how to solve for one given the other."
"In this session, we reviewed conics for the student's test on Tuesday. He seemed to have a good understanding of how to put equations in standard form and how to graph the conics. Finding the equation of a conic given a description was a bit harder. I suggested that he focus on these problems when studying."
"My first session with the student went very smoothly. We spend the entirety of the session working through her current assignment covering some basic function types, including recursions, linear functions, and piece-wise functions. She seems to have a very strong grasp of this material so far and needed very little help other than to correct a few minor math errors and clarify a few procedural questions when interpreting equations. While this material is still relatively basic for the class, noting that she has a strong foundation will make it easier to address any larger issues that do arise later with more complicated concepts."