Recent Tutoring Session Reviews
"This week I introduced the student to a new organization system that we will implement throughout the school year. We also went over some of the more advanced problems in his pre-calculus textbook."
"The student and I reviewed rational functions, interval notation, domain, range, point discrepancies, infinite discrepancies, jump discontinuity and odd vs. even functions."
"We reviewed functions, transformations, domain and range and their restrictions, going from restrictions to interval notation, and graphs of basic functions."
"Tutoring was for AP Calculus AB. We worked on the chain rule for derivatives and implicit differentiation. The student was having some trouble memorizing the differentiation formulas; that skill improved through practice during the session. We reviewed the formulas and practiced using them explicitly on problems to help reinforce memorization. For implicit differentiation, we discussed using the differential operator, d/dx, to keep track of where derivatives are being taken and which differential rules to use in each part of an equation. As a general homework approach, we worked on breaking equations into smaller problems and working toward a solution step by step. Her teacher provided her with a set of practice problems for the upcoming test. She seems quite capable of performing the skills we reviewed given practice, and I want to help her master skills more quickly to improve her confidence in the material. Now that I've seen her textbook and her notes from class, my goal for the next session is to offer a different approach to the material that will be more intuitive to her learning style."
"Today we reviewed expanding binomials. We showed some examples of factoring quadratics where the leading coefficient was not 1. We showed how we can factor where there is no constant term by pulling out an x, or when there is no linear term in some cases. Finally, we went over how sometimes you can substitute a quantity for an often used expression and make a complicated bit of algebra easy to solve."
"The student and I reviewed graphing sine, cosine, and tangent graphs. We also reviewed how to graph cosecant, cotangent, and secant graphs. He struggled a little bit with graphing each of these, but I tried to give him steps to walk him through the process as easily as possible. I think he was understanding it better by the time our session ended. I think it will be beneficial for him to review more before his midterm on Friday. I left some work with him to do so that he can redo all of the parent graphs for each function, and I think this will help him get a better grasp on the material."