Recent Tutoring Session Reviews
"The student did not have class today so we reviewed linear and quadratic functions and how to graph them given an equation. We completed enough practice problems for her to feel comfortable doing on her own. I encouraged her to look at the supplemental material on linear and quadratic functions."
"Today we covered problems from the student's practice final that she had some trouble with. She was able to understand all of the problems once we went through them together, and she practiced some complicated proofs and matrices on her own with ease. I noticed a significant difference this time in her in that she needed very little help from me save for a few questions. I feel that she has a very good grasp on the material and will do well on the final exam!"
"We covered inverses, properties of exponents, graphing piece-wise functions, asymptotes, domains, and ranges. She was able to work through her homework problems on her own and demonstrated strong problem-solving skills."
"The student is preparing for her final mathematics exam, so we worked through a practice packet that she had been given by her teacher. She had some questions about discontinuities of functions and how one graphs these, so we first worked through these. Then, we continued our work through the packet, and addressed any questions she had. I made sure to circle the problems she had had problems with, so she could make sure to review those on her own again, too. She seems well-prepared for the final this coming week."
"Today we completed review sheets for the student's final exam which she has on Wednesday. The review sheets covered all the chapters from her class this year. She is doing well with the material and did well with the practice questions. She did not have any other questions for the final before I left. I didn't leave her with extra practice as we completed the review sheets and we will not have another session before her final."
"During this session, I asked her how her quiz went. She said that she felt pretty good about the quiz but there were still concepts she was unsure of. So the next time we meet we will for sure go over that quiz. During the session, we went over exponential functions and expressions, which she learned in class that day. We spent the remaining 20 minutes working on her first quiz from August, which covered midpoints and line distances. At the end of the session, I asked the student to collect all her quizzes so that next session I can take photos of them. This will make working with her easier. Also, I want her to begin reviewing these quizzes on her own so that we can use the time I have with her efficiently so that we only cover more difficult problems."
"In this section we covered using the leading coefficient test to determine end behavior of the graphs of polynomials, and also solving for the zeroes of 3rd and 4th order polynomials and then using this information to graph the equation. We reviewed how to use the multiplicity rules and leading coefficient test to determine the behavior of the graph. I left him to read on the next section about long division."
"We started by reviewing complex numbers, how to perform operations using them, and how we could transform any complex number into a+bi form. Then we saw their application to solving quadratic equations. After we continued working with higher order polynomials, using the zero root theorem to find one or two roots and then using long division to find the rest. Finally I taught the student the synthetic division algorithm so we could divide polynomials faster."
"For the first session, the student and I focused primarily on box equations, and finding the optimal volume of a box. I used an online tutorial as a visual aide, which seemed to help. He was really good at setting up the box problem (the x formulas for length, width and height) and understands the concepts. We reviewed solving for the factored form of the volume equation and the subsequent derivative. I recommended that he complete practice problems out of the book. We also touched down on some data analysis material from his textbook."
"I helped the student with her linear programming homework. We discussed how to solve the problems (the steps), and additionally discussed general rules for graphing lines. We are meeting again on Friday."
"Today the student and I worked on reviewing his trigonometry work and its applications to the unit circle, geometry, and graphing of trig functions/inverse functions once more before moving on to the difference quotient and the basics of calculus. He was able to grasp the basics of the ideas put forth in our discussion and in the chapter. Thus we were able to complete his homework and start preparing for his final."
"Today, I worked with the student to prepare for another test, addressing any areas she had questions on. We reviewed compound interest, especially problems where interest period was different from the compounding period (e.g. 5% per annum compounded monthly), and tricks with series. We also focused on the question of why some sequence formulas use n-1 and some use n, reinforcing the idea of "distance between labels" (whether they are years, element numbers, etc.)."