Recent Tutoring Session Reviews
"Today we reviewed for the student's exam on hyperbolic function graph matching. The format of the exam is matching of equations to the graphs presented. The student initially wanted to graph each function then match. This works, but is very time consuming. Therefore, I showed her what things to look for in the equation, and use this information to eliminate graphs. She was then able to speed up her matching and this should help a lot on the exam."
"I worked with the student on some examples of graphing rational functions. We discussed finding zeroes, vertical/ horizontal/ oblique asymptotes, reviewed polynomial division and factoring as well as multiplicity of zeroes, and used all of these to graph functions. I think he is really developing strong proficiency in all of these."
"We covered trigonometric functions, discussing how we can find a graphical point of some angle using a unit circle. We also looked at how you can graph these functions and how certain changes to the function will change the plot. We did a number of her homework problems and she seemed to be catching on as we worked through the various problems. I have noticed improvement in her progress. She received a 95% on her midterm exam."
"Today we went much deeper into the student's unit on trigonometry, going over the uses of sine, cosine, tangent, how to measure radians around the unit circle, etc. We applied these basic concepts further in homework. I recommend, however, that he try to look at the unit circle and terminal/reference points in his book again before our next session."
"We worked through a review packet for an upcoming test on exponents and logarithms. I went over the definition and properties of logarithms, and made up some simpler practice examples to guide her conceptual understanding."
"We covered polynomial and rational functions in identifying, vertical and horizontal asymptotes, x and y intercepts, range and domain, removable discontinuities. This involved both factoring the numerator and denominator of a rational function to identify the x values that yield a zero in the numerator, denominator or both. Several problems involve inequalities to identify where the function was greater or less than zero. The student is a bright student and he understood the corrections we made to a previous test paper we went through. He needs more practice with these kinds of problems to solidify his learning of the techniques for solving."
"Before starting, I got good news that the student did well on his most recent quest by getting a 94 on it! Besides that, we began a new chapter on exponents and exponential functions, something that was not that big of an issue with the student. We also started doing logarithms, which is something new to him. We did a few types of simple problems, but did not proceed much further from graphing logarithms, as we did not have much time to spend on it."
"The student and I met tonight. The student reported the long-awaited, but well-earned increase in her test score to 24 which successfully will get her into the college she desires! She has made wonderful scores in math and is doing great! We worked a worksheet covering transformations. The student understands all of this as well. I look forward to meeting with her next Monday."
"We covered solving trigonometric equations. I have no concerns with this session; by the end, it seemed as though the student was doing great in solving most trigonometric equations."
"The student and I spent most of the session working on pre-calculus homework, which pertained to the unit circle and evaluating the six basic trigonometric functions based on points or given angles. The student has improved very much over the last year. We also spent some time on the session going over his pre-lab assignment, which pertained to calorimetry. We reviewed how to calculate enthalpy of a reaction based on the change in temperature, mass, and specific heat of the compounds involved."
"We went over trig identities and I provided the student with a sheet of all the identities she would need to know. We also went over logarithmic functions vs. exponential functions and how phase shifts work. Additionally, we went over how to find the log of a number. The student seems to understand what I'm saying very well, and I am very impressed. Great job!"
"I reviewed the student's previous homework assignments with her. We then prepared for her test. I made sure she had all the identities memorized. We then went through the difficult problems from her test review and I helped give her tips and strategies to answer them."