Recent Tutoring Session Reviews
"The student presented homework assignments to go over. For the most part, he understood the problems and answered them correctly. It was a word problem that made use of the ambiguous case when applying the Law of Sines, a concept he and I have been working on the past couple of weeks. Once he realized that that's what the problem was calling for, he solved it with ease. After reviewing his homework, I presented him with some older concepts that he has yet to master - namely, domain and range, and what the graphs of various functions look like. I will continue to work in the weak points into our sessions until he has a strong grasp of the concepts."
"I felt the student had his best tutoring session yet. He had questions ready to go over and his math skills are getting quicker. We covered some tough subject areas today including how to find the maximum and minimum or parabolas and how to graph them as well as an intro into asymptotes. We did some review for his test Thursday and will cover more on asymptotes next session. Exponents and working easily with negative numbers are coming along which makes our problem solving that much faster. Nice job!"
"In order to prepare for an upcoming quiz, we reviewed how to find the limits of trigonometric functions. We also covered difference quotients, which had been introduced in class that day, and concluded with an introduction to derivatives. The student told me that she got a 91 on her most recent quiz, and that she is currently averaging a 98."
"We worked completely on pre-calculus today. Our focus was on the 5th preliminary section of the text. This included a review of equation solving for absolute values, quadratics, and several mixed sorts of problems (using both of these together along with some fraction techniques for solving equations). The student grasped all of the content well, and I assigned a number of practice problems."
"The student wanted to prepare for her Chapter 7 test tomorrow. We started by working on a worksheet that she had from class. According to the directions, we alternated solving equations using algebra (elimination) and using matrices. We completed one 3 equation, 3 variable system using algebra, followed by a 4 x 4 system using matrices. We then reviewed matrix multiplication and the conditions required for the process to even occur. Next, we solved equations such as AX = B+I, where A and B are given and I is the identity matrix. She recalled that there is no such thing as matrix division, only multiplication by the inverse. We did a few more equations like this, each getting progressively more difficult and involved. Finally, the student let me know what was coming up after her next test and we quickly discussed "factorial" and Mathematical Induction. We also discussed some fundamental ideas such as "what does it mean to be an inverse?" as well as how division is really just multiplying by and inverse. The student is well-prepared for her test tomorrow, and is very confident of her abilities. Good luck!"
"We started with review of the unit circle, arc length, and how frequency relates to period. We spent the rest of the session working on constructing graphs of sine and cosine functions using given information on amplitude, period, vertical shift, and phase shift. We paid special attention to instances where a function had a constant factor to be distributed over the argument that affects both period and phase shift. We also explored the differences and similarities between using a phase shift, and a vertical reflection."