Recent Tutoring Session Reviews
"The student and I had a very busy session this morning, during which we worked through a large number of practice exercises from the chapter her class most recently covered on infinite sequences and series. We did practice problems on using the nth term test, the integral test, and the limit comparison test, and also reviewed convergence requirements for geometric series, p-series, and alternating series. Her final exam is early next week, and we will have our final session to help her review this coming Sunday. I suggested a number of exercises for her to look over before then on assessing whether a series converges or diverges, and on Sunday we can focus on Taylor series and their intervals of convergence, and any previous topics from the course that she would like to review."
"The student and I had some challenging questions to go over tonight. We did some free response questions that were difficult and awkward, but it allowed us to really dive into key concepts and talk about how she would address those concepts in context. The multiple-choice questions were a little more straightforward, and we were able to cover some key vocab terms and definitions. She is going to do some more studying, but said she is feeling good about her test tomorrow. I agree!"
"The student and I have been working on manipulating quadratic functions for various purposes. Current topics in her class include forming and solving perfect square functions, converting between standard form and factored form, finding x-intercepts/zeros, and graphing quadratic functions. We have been working through problem sets provided by her teacher and practicing how to check for correctness using algebraic skills. This has been an effective method for getting her to slow down and think through each step logically."
"The student and I have been working on several different Algebra concepts. We reviewed completing squares, solving inverse functions, the definitions of domain and range, and solving for the properties of parabolas."
"The student and I have learned the section on solving polynomial inequalities. We practiced graphical and algebraic solutions. Particularly, we graphed related polynomial functions, and highlighted the part of the graph above or below the x-axis, then determined the intervals on the x-axis that are related to the highlighted graph. Next, we wrote the answer in set-builder notation. For the second part of the session, we used the graphing calculator to determine zeros and sketch the graph. Using the sketched graph, we determined the answer. Next, we solved inequalities algebraically. I found out that she got a 98% on the last exam!"
"The student and I looked at all the topics she has covered so far, and ordered them from most difficult to least difficult. We started working on rational equations, and she mentioned that she had some difficulty with adding and subtracting negative numbers. We discussed a few strategies to work through that, and then focused on nailing down the concepts for simplifying rational expressions. A very productive day!"