Recent Tutoring Session Reviews
"The concepts we covered were: continuous functions, limits, the 3 types of discontinuities, removable vs. nonremovable discontinuities, the Continuity Test, identifying a point of continuity and discontinuity, the Intermediate Value Theorem, the Location Principle, approximating zeros, end behavior, increasing/decreasing/constant functions, and relative vs. absolute extrema."
"The main concept we went over was significant digits. He was relatively adept at finding the right number of significant figures to round a number to. We went over his homework for the night (most of which consisted of addition, multiplication, subtraction and division problems asking for the correct number of significant figures in the answer) as well as some questions on his worksheet. A win is that he got a perfect score on his first math quiz of the year."
"The majority of the concepts we covered revolved around polynomials and quadratic equations--mainly simplifying them and sometimes sketching them. She wasn't struggling with anything in particular; she just needed a few tips in solving some types of problems. It was a great session that I enjoyed, and I believe it was beneficial to her as well."
"The purpose of this session is to review his class material for a quiz on Monday. We reviewed topics on inverse functions: starting with a function we explored how to graph its inverse, find domain, range, and symmetry points. We also explored how to graph a function with horizontal and/ or vertical shifts based on the graph of a given function, and also some more practices on how to find the formula for an inverse function. I checked his understanding and he told me he understood everything. Overall, the wins from this session is that he had a better understanding on how to graph inverse functions, and functions in general, by shifting horizontally and/or vertically, and he is ready for the quiz on Monday."
"The purpose of this session was to discuss a project she has to write up about finding the volume of a lemon. She was very appreciative of the help and advice I gave her on this and the research we did to help her prepare a great report."
"The rational root theorem was explored during today's session. I explained that if a polynomial cannot be factored, the using the rational root theorem will be used to find the roots of a polynomial. I demonstrated how the ratios of constant factors and leading coefficient factors produces a list of all possible roots. I gave him a tip to organize the synthetic division process in a table format for efficiency. He caught on quickly but made small errors in calculation that resulted in unnecessary extended division. Once the errors was corrected, he derived all roots to the polynomial without any trouble."