Recent Tutoring Session Reviews
"Today we continued to practice integration and tangent lines as well as special cases including logarithms, integration by parts, and the information received from using the derivative and double derivative values of a graph."
"The student continued re-writing her notes for Monday's open-note final. today we worked on exponents, logarithms, and inverse functions. The student has a strong understanding in the basics of logs and exponents but needed help applying the log laws in more complex problems. We did several problems together and she said she felt like it "clicked". We started reviewing word problems involving interest rates, half-lives, and exponential growth. After practice, she was able to do these problems with minimal help from me."
"The student and I reviewed his Algebra review packet for his final exam next week. We discussed functions, parabolas, slope, rate of change, and basic statistics. We also covered the Pythagorean Theorem, and adding/multiplying rational functions."
"During this session, the student and I worked on her final review packet, specifically focusing on word problems. This past week, she had worked on a number of word problems assigned by both her teacher and me, so we reviewed those problems she had completed and struggled with, while also moving onto word problems. I noticed that as the student became more comfortable with a greater variety of problems, she became more familiar with the strategies and less careful with the computation. We emphasized the progress she had made in the conceptual arena, but we still had to emphasize the importance of "little things" like arithmetic, translation, and labelling."
"To further prepare for the student's test, we reviewed worksheets, concepts, and practice problems relating to exponential and logarithmic functions. We compared and related the equations A=P(1+r/n)^nt and A=Pe^rt, where the latter is for compounding continuously. We also looked at the rule of 70, where dividing 70 by the annual growth rate yields the doubling time. To cover logarithms, we first covered the basic properties of logarithms and then completed some practice problems."
"We reviewed information about coordinate planes, number lines, and data interpretation in preparation for her unit test next week. We looked back through work that we had already covered as a review and practiced with new questions provided by the book and by the tutor."
"During this session, the student and I worked on his algebra final review, paying special attention to his weak areas such as factoring and quadratic equations. The student should be able to do well on his exam with only a little more studying."
"We reviewed for the student's final exam in Calculus I tomorrow by going through the appropriate chapter's in the book to review the material and re-solved the problems on his previous exams. Topics included differentiation, implicit differentiation, related rates, optimization, anti-derivatives, integrals (indefinite and definite), and u-substitution to solve integrals."
"The student and I covered solving systems of equations using different methods such as elimination and matrices. In order to gauge progress, I made the student practice some of the exercises given to her at her calculus class. First, I explained how to solve each problem type and then she solved similar exercises. I did not have any concerns with our tutoring session today."
"We went over about half of a chapter on derivatives. Mostly we went over homework problems he did not understand fully. We finished with one summary problem that covered all the topics in one problem and the student seemed to be catching on by that point."
"We did some review problems in topics covered last time, which the student ended on a high note. He mentioned that he was able to retain most things during the session. I caught several minor errors and hope to smooth those out with due time. We reviewed applications of calculus to economics."
"The student and I looked over two of his study guides for chapter 4--most of this is on curve sketching, finding max/min, inflection points, critical values, graphing and solving optimization problems. I have been using a graphical approach to solving a lot of the problems, and he is starting to use this more to check his work. We also looked at limits, solving with L'Hopital's rule and looking at conceptual questions regarding limits."