Recent Tutoring Session Reviews
"The student has a quiz today and a test next Monday, so we worked on the material that will be on those assessments. As we were covering what will be on the quiz, we found that knowing the unit circle better will help him with these problems, so we went off on a tangent to learn the unit circle better. I used the method of finding the pattern in quadrant I and repeating that pattern in the remaining 3 quadrants. This approach seemed to work well for him. With a little more practice, he will be able to recreate the unit circle on a test. After this, we worked on solving trig equations. These can be confusing but like most pre-calc topics, are easier to deal with if broken down into simpler steps. He was doing well with these by the end of the session. We have set up a long session for Friday to prepare for the test."
"The student had homework on related rate, so we focused on finding derivatives of multiple variables with respect to the same variable. We applied product rule and chain rule and did several "real-life" problems. The student shared that she felt so much more confident in the material after our session."
"The student has a test tomorrow that will cover part of chapter 9- Sequences and series. However, she was absent from class a few days last week and missed the lessons on 9.1 and part of 9.2. We discussed the difference between sequences vs. series, looked at sample summation notation and the properties of summation notation (i.e.- distributive, additive) and learned how to calculate factorials on paper and in her calculator. The instructor did provide her with a substantial list of practice problems and we were able to work through almost every odd problem in the 9.1 section bank and a dozen problems from the 9.2 bank. Her test will stop at 9.3 (geometric sequence notation) and we will pick up next week at section 9.5 (skipping 9.4)."
"We worked on some practice/homework problems in preparation for the student's quiz tomorrow. Her quiz is in derivatives using the limit definition. She knows how to work this problem very well, so we just went over particularly challenging problems. We reviewed how to use Pascal's Triangle for binomial expansions, which made approaching certain problems much simpler. As we worked, she was able to identify that she often makes simple mistakes with operations since she forgets to set appropriate parenthesis in her process. She is now paying special attention to that, so she is no longer getting stuck on problems. She also identified that it was hard for her to visualize the problem when there were many terms, so we went over substituting complicated terms by some other symbol/letter as a problem solving strategy. With these strategies, she was able to solve the problems without hesitation."
"The student is working on sequences and series. In the course of our session, her ability to find the nth term and to write explicit and recursive expressions greatly improved."
"We covered partial fractions decomposition. The student was very attentive and energetic. She participated through out the entire session and asked questions when she didn't understand. She indicated that since our last tutoring session she improved the grade she received on her exam significantly."