Recent Tutoring Session Reviews
"We worked on the Product, Quotient, and Chain Rules. We also covered derivatives. The student does have a good grasp of the Product, Quotient, and Chain Rules, though her application of the chain rule to e^x and ln(x) is still a bit shaky. I'd recommend that she finish going through her homework problems as review for her test tomorrow."
"Today was basically us working through his homework and reviewing the principles behind the different problems. Most of the problems centered on how, in a given function f(x), y related to x, but at the end we also did a few problems' worth of implicit differentiation."
"The student and I worked on problems from his homework. All of which involved the use of derivative rules. Including the Power Rule, the Product Rule, the Quotient Rule, and the Chain Rule. We practiced the use of these rules by themselves, as well as in various combinations (i.e. using the Chain Rule inside of a Product Rule to find the derivative of a particular equation)."
"In this session, we reviewed the foundation of derivatives and discussed in-depth the definitions and key features. We also began the review for the next exam and discussed and worked several problems. We plan to continue the review in the next session."
"The student has a test the day after we meet over differential calculus. The test covered topics such as limits, derivative rules (i.e. chain rule, quotient rule, etc.), and also properties of graphs using derivatives. We went over a few problems that asked how to find critical points, points of inflections, and asymptotes. The student is working on understand what each order of differentiation means and was beginning to understand at the end of the session."
"Today we found the discriminant to determine how many solutions to a polynomial equation. We also used completing the square and solving with multiple radicals. When there were negatives inside the radical we practiced writing our answer using imaginary numbers. There were 2 or 3 problems where we got stuck, these involved fractions and factoring the numerator."
"The student and I got started today analyzing and graphing parabolas and circles. After that, we moved on to inverse functions. She picked up on the parabola and circle material very quickly, but she needed some extra explanation and demonstration to understand how inverses work."
"Met with the student. We continued working on logarithms and how to solve various problems when an unknown variable is in an exponent with a logarithm. We worked several problems and by the end of the session, she was able to complete the problems with minimal or no guidance. She reported that she understood and the session was helpful. We scheduled the next session."
"The student had an exam on chapters 1-4 the following day, so we reviewed the material from each section. We focused on the newest material that he found most difficult. The student appears to understand the material and concepts pretty well. I feel that showing work would greatly strengthen the student's grades."
"Tonight was my first meeting with the student, and we interacted very well. He is says he is having a tough time with AP Calculus, but through-out the session he showed a very nice understanding of the material we were covering. We discussed some basic derivative rules, such as the quotient rule and power rule, as well as the "u-substitution" method for integration. I gave him a couple of tips for the "u-substitution," and told him what to look out for when approaching these problems since he was struggling with that the most. The student was much more comfortable with the derivatives, but still followed well when discussing integrals, and with practice he can really get the hang of them!"
"During the tutoring session we continued to work on fractions and adding and subtracting them. The student did a fantastic job this session. He made almost no mistakes when converting the fractions to LCD form so that he could solve the equation. He completed 4 practice work sheets of adding and subtracting fractions and going forward we will continue to make sure he no longer has any issues doing fractional math."
"The student had a chapter test tomorrow instead of a section quiz today, so I helped her with some additional studying. We revisited all the topics we've covered so far and made sure that she felt confident on all of them. In particular we drilled things like finding the roots of a polynomial, both real and imaginary, and completing the square to put a quadratic function into vertex form. The student was attentive and accomplished a lot."