Recent Tutoring Session Reviews
"In this session, we went through three practical problems. It covered 1) first derivative and 2nd derivative calculations, 2) solve differential equations to find the coefficients, 3) physical meaning of a tangent line with the special cases: horizontal and vertical, and 4) applications of the 1st derivative used to model the concentration at time t of a drug injected into the bloodstream."
"In today's session the student and I worked through material relating to using the derivative for calculations. The problems were based on a few different scenarios in which the derivative provided insight. This included trajectory of objects in flight, particle movement, and other rates of change. He did really well with interpreting data provided by graphs of particular functions or their derivatives. He needed help with taking the derivation of some functions. We talked about how to apply the theorems and which functions we can apply them to. After the first few examples, he caught on very quickly and was doing well with the remainder of his work. We will work on taking various derivatives to strengthen that skill, so he can focus on correctly applying derivatives. It was great to hear he did well on his last quiz, only missing two points from his total score."
"In today's session the student worked on her current homework, looking in detail at how to write an expression that describes and curve with a hole and how to sketch a curve given a rational expression (including identifying the x and y intercepts, horizontal and vertical asymptotes and holes). As part of this work, we reviewed the equation of a line, how to find slope, the vertex form of a quadratic equation, and developed a set of steps when attempting to write a rational expression given a graphed curve with a hole. In the next session, I hope to discuss more specifically any areas of difficulty she is having with the course material and their potential causes and the pacing of the tutoring sessions (i.e. Is she happy covering a few topics in depth or would she prefer to cover more topics at a faster pace?). This information will be used to help form a more cohesive tutoring plan to help her reach her learning goals."
"Inverse functions, working with logs, and working with hyperbolic functions and their inverses. We reviewed previous homework to clarify questions that he was not confident that he understood. The student seemed more comfortable recognizing derivative rules this week, which is great! We decided that I will prepare a set of questions for each session, covering various topics so that he stays comfortable with every concept as the class moves forward."
"It was our first session so we began by discussing the student's overall experience in her courses, her goals for tutoring, etc. Then, we prepared for her chemistry exam that week. She was having some trouble with electrochemistry and redox reactions, so we discussed what they were, what the equations meant, and practiced balancing the equations. Afterwards, we tackled the mean-value theorem from calculus. Overall, she was very concentrated and by the end seemed to feel much more comfortable with applying the topics we covered."
"On Sunday, we worked on calculus. We mainly did limits of trig functions and indeterminate limits. We also discussed how she felt the ACT went, and from what she said, our practice really helped, and she felt good about the exam."