Recent Tutoring Session Reviews
"The student and I reviewed for her upcoming Calculus test today by working through a study guide together. She showed strong retention, and she even made significantly fewer rushed arithmetic errors than usual."
"Student has tests in calculus and chemistry tomorrow, so we split the session to review for both of those exams. She did a chemistry practice test at home, and we reviewed the problems. We also did some practice problems for topics that were covered in class but not on the practice test. She did well with the problems and says she feels well-prepared for the exam. For calculus, we went over some problems that she didn't understand from class. She also did well with those problems and feels prepared for her exam."
"Today we went over what was covered in class, volume integrals using shape cross sections. The student knew nothing about the subject, so I taught this lesson from scratch. The student was having trouble visualizing the shapes we were talking about, and so I gave him the assignment for next week to look up visual constructions of volume integrals, hopefully that will aid his understanding"
"We went over the student's homework problems involving projectile motion with the quadratic height equation and the derivative to get the linear velocity equation. He did not have any problems understanding it. He should remember that the quadratic formula requires the standard form of the quadratic equation, though."
"In this lesson, we did more practice with exponentials and logarithms, particularly applications such as yearly growth rate and continuous growth rate. Once the student understood which phrases corresponded to which terms in the equation, he executed the math well. He's gotten used to taking the log to undo an exponential. After that, we practiced L'Hopital's rule-- mainly with exponential, logarithmic and polynomial expressions. For his first time practicing this concept, he handled these questions pretty well, too."
"For our second session, the student and I went back over the practice and homework problems she worked on after meeting yesterday. She had prepared a bunch of questions that came up while working through the problems, so we started by tackling those clarifications. These mostly involved the rules of differentiation, in particular when rules overlap and are used within another rule, and the introduction of the chain rule. For many problems she just wanted confirmation of her answers, as they involved some complicated algebra as well. We also went into further detail about trig functions, how to differentiate them, and the unit circle, and focused a lot on how to write the equations of tangent lines after evaluating the derivative at a given point. She showed a very solid understanding of the conceptual side of derivatives, and felt much more confident and comfortable after our two sessions."
"The student and I covered the review sheet for his exam. We went over RAM approx., finding intersections, choosing n and calculating dx. We then evaluated integrals using geometry. Lastly, we evaluated indefinite integrals using u substitution. He is able to take derivatives and calculate area."
"Tomorrow is his calculus midterm, so the student wanted time to review certain topics. We went over problems given to him in review packets. For the most part, we worked on derivative tests, optimization, and rate problems. Overall, he seems to grasp the concepts quickly once they are reviewed."
"The student is making great progress. I really like how he likes figuring out problems without any help. He is very eager to get it right by himself which is good. He did a nice job today with related rates because he has a strong foundation in taking derivatives. Now we're just applying it to solve problems. I find myself having less and less input which is good; that's called progress. Basic math skills are coming along as well, much improvement."
"The student has a test that she is very concerned about. So, we went over her latest chapter which dealt with the inverse geometric functions, namely their range, domain, derivatives and graphs and got plenty of practice with them. I showed her how to derive the values and angles of sine, cosine, and tangent functions by drawing the unit circle and test right triangles."
"We went through several equations solving the derivative in various ways to compare the different methods. The student is doing very well with using the limit definition to find the derivative of most functions and is doing better finding the approximations of the average and from a graph. We also covered sketching a derivative graph from the graph of a function and sketching a function from information about its derivative."
"We talked about limits and logarithms. The student had just taken a quiz, so we covered points that she needed to study more, and I gave her three things to memorize before we meet again: logarithm rules, horizontal asymptote rules, and rules for limits at infinity. We did a number of problems relating to limits, and discussed the importance of simplifying the equation before finding the limit and also technique for graphing a general idea of the equation to see how the limit might behave. She suggested she re-read the chapter on limits at infinity, and memorize the horizontal asymptote rules. We will be meeting again this week to prepare for her test Friday. I think she will be able to do well. As soon as we review things, she grasps the concepts very quickly."