Recent Tutoring Session Reviews
"Continued our work from Friday. Converting fractions to decimals, and vice versa; dividing fractions; geometry (shapes and angles). Marked improvement in all topics as the student shakes off the dust."
"I worked with the student on the first chapter which covered finding domain and range. At first she didn't remember exactly how to do it but after I reminded her, she did well on the problems."
"Tonight's focus was simplifying and operations with radicals. The student was introduced to radicals during the week commencing 10 December and she got a 100 on her first homework. The challenging concepts last time were finding the roots of decimals and simplifying constants via prime factorization, so we reviewed these concepts again and then focused on multiplication/ division and addition/ subtraction rules. Her greatest challenge was identifying the radical component necessary to rationalize the denominator; she was left with a few homework problems to attempt on her own this evening. We will continue this lesson on Wednesday. We also discussed her final exam since her teacher mentioned today it would be cumulative over both semesters. To keep the material from last semester fresh in her mind we agreed each week I will assign additional problems from one section covered last semester. I will create a running outline for each week's new and old sections to make the final review as organized as possible."
"Productive night. We went over several examples of finding a volume from rotational solids. Most of the problems had numerical solutions, so the student was reassured that our methods were correct."
"Discussed limits and continuity for functions. Emphasized the "reading" limits from the graph and from a formula. Will meet again next week."
"Lauren finally got her exam score. Considering that we only had two sessions together before her exam, I think she did well. Today we did a short review over last session's material - power rule of derivatives. She did well recalling the previous material. We then discussed the product rule, quotient rule, and chain rule of derivatives. I also introduced her to some special derivatives: sin, cos, tan, e^x, and ln(x). We did several examples together to demonstrate each derivative rule. She caught on pretty quick with the examples I gave her, as well as the ones I had her do on her own. She was able to then use the quotient rule to solve d/dx of csc(x), sec(x), and cot(x). Her class will cover the quotient and chain rule again on Monday and Tuesday, so hopefully that will help cement them. Now, it's important for her to practice using them on as many example problems to commit the rules to memory. This will be the bulk of the material for her next exam, so I feel confident that she is ahead of the curve in preparing."