Recent Tutoring Session Reviews
"Today we reviewed characteristics of functions. We continued to discuss continuity, testing for continuity, and end behavior. Examples were reviewed which encompassed all three aspects. At the end if the session, we did problems from the textbook to review how to utilize operations of functions as well as function composition. Function composition also produced a detailed analysis of domain and range for such compositions."
"The first session I had with the student went fairly well. We reviewed some concepts having to do with polynomials, namely completing the square, irrational numbers, and complex conjugates. She was mostly having problems conceptualizing each aspect, as they are fairly abstract or unintuitive, but I tried to help make them seem less esoteric. She seemed to have a better grasp of the concepts afterward, though some additional practice could still be useful."
"This was my first session with the student, and it went very well! First, we went over some trigonometry. Specifically, we covered the trig identities, the angle sum and difference formulas, and verifying trigonometric relationships. We then covered some Chemistry, specifically nomenclature. She is a very quick learner and an excellent student."
"The topics covered today included: special polar graphs, converting from rectangular to polar equations, and exploring polar graphs. To review these we completed a few questions off her worksheets and textbook. She seems to have a good grasp of all the concepts and is more than prepared for her quiz. She just needs to memorize her graphs and identities. I have no concerns."
"Covered problems in using trigonometric identities. The student just needed verification she was doing things correctly and maybe some hints on working problems."
"The student has a test coming up for which we reviewed all 6 of the basic trigonometric functions and how to graph them. The most challenging concept to grasp when drawing functions that were stretched/shrunk or had a phase shift, was where to draw the asymptotes and how to note that in the domain with the 'k' for integer notation about their periodic repetition. However, by the end of our lesson, I believe she got a good grasp of the material and should be ready for her exam."
"The student is doing fine with her current homework on finding exact trig values with triangles and the unit circle. After completing her assignment for the day we had ample time for some test prep. She started with a verbal practice test section. She has a strong place foundation. I recommended she look at the vocab as much as she can early in her test studying so we found her new book's vocab list to start that."
"The student worked through more of his homework, this time focusing on some business problems using the definition of slope and the point slope form of the equation to algebraically model different simple business cases. He had no problem with these, and I expect he performed well on his most recent quiz."
"We covered the student's homework which involved inverse trig functions and unit circle values. I also answered some questions she had about past material. This served as preparation for her upcoming test. She is still struggling with understanding the mechanics of what she is doing, relying on rote memorization, but expressed happiness and pride when a breakthrough was made, so I can tell she is eager to improve on this."
"During this session we reviewed for the student's quiz covering logarithms, composite functions, and exponential functions. She is understanding the concepts very well and we will continue to review to ensure she does well on her midterm next week."
"We dove deeper into the specific forms of odd and even power/reciprocal/radical functions. Focused on the immediate recognition of these functional forms without the use of the calculator. By the end of the session, she was recognizing the function forms and general trends in continuity, end behavior, increasing/decreasing behavior, etc. without the use of a calculator. Our next challenge will be to apply transformations and translations to the functions. I left her with directions to take a transformations problem set."
"For this session, we basically covered trigonometry functions and triangles. We went over her homework due for her pre-calculus class concerning sine, cos, tan, cot, csc, sec and finding the area of a triangle using the sine function. We also discussed how to find areas of various polygons."