Recent Tutoring Session Reviews
"We focused mainly on graphing piecewise functions. We went over some basic graphs like that of x^3 and the square root of x as well as their domain and range. Then we went through some problems with piecewise functions. I helped her figure out their domains, ranges, and intercepts; we went through graphing them and whether or not the function was continuous."
"The student just finished an exam last week and had not been introduced to much new material, so we worked on his homework assignment for Wednesday's class. It involved graphing domains, ranges, and functions, as well as calculator input and graphing a line. He seemed very comfortable with the homework and we plan on working ahead next week."
"I worked on trigonometry with the student. We covered the Pythagorean theorem and used it to solve basic trig identities (sin, cos, tan, csc, sec, cot). We worked on understanding polar and rectangular coordinates in reference to the unit circle as well as converting between the two types of coordinates."
"We worked on demonstrating trigonometric identities. Strategies for approaching these types of problems were discussed. Towards the end of the session, things really seemed to "click "for her and she could quickly find the solutions to more complicated problems."
"The student started a two-day math test today, so he'll finish this test tomorrow. We just did practice problems from the later sections that the test was on. It's plotting polynomials based on finding the zeros, asymptotes and using division if it's rational. He understands and gets these ideas very well."
"The student and I worked on the laws of logarithms and exponents. He also had a worksheet he printed out from a website, so we worked on that. He didn't have any homework specifically on this section, but we went over several exercises in his textbook. He seems to know what he's doing so far since I've made minor corrections from his errors. I have no other concerns from him or this session."
"We went through some problems in the student's math book dealing with logarithms and exponents. We focused on algorithms for solving for x when it appears in an exponent in equations: Isolating the base with the variable exponent, finding a common base for each side of the equation, then using logarithms to remove the base. The student should work on recognizing common bases and how the logarithms work."
"We went over solving rational functions by finding common denominators, cross multiplying, and getting rid of square roots by squaring. We also went over partial fraction decomposition. She needs me to be shown examples but is able to follow the example when trying similar problems. She will take a two week break from tutoring to see how she does on her own."
"The student is doing better in class. He said he scored a 94 on his last test. We worked on homework from the textbook and the worksheet on rules of exponents and exponential equations. In the last ten minutes we also previewed the next section on the graphs of exponential functions. He did really well with the lesson."
"We went through basic arithmetic operations and exponential rules. We reviewed her past exam and saw the areas she didn't perform well. She has trouble with simple arithmetic rules and remembering the function properties and function graphing material. We will prepare for her final next week."
"Reviewed previous tests and quizzes and reworked problems. Topics covered in depth were function symmetry, completing the square to solve the roots of quadratic equations, determining the max/min of a quadratic function by finding the vertex, interpreting the x and y intercepts of a function in the context of a word problem, providing the equation for a parabola given its x and y intercepts, determining the range and domain for functions (the latter is found by finding the range of the inverse), and confirming that functions are inverses by seeing if f(g(x)) equals x."
"We continued working on Equation Solving and Modeling and then started the set on Mathematics of Finance. The student did well. The finance formulas (FV, PVOFA, etc.) were new to her. In addition to doing the exercises, we worked hard to make the formulas "real life relevant" as in mortgage loans and college savings plans."