Recent Tutoring Session Reviews
"The student and I began the session with Algebra 2 material. We started with complex fractions and then practiced applying them to "golden rectangles." This at first was very confusing for him, but once we talked about what a golden rectangle is and practiced a couple of problems, he started understanding it really well. We also practiced complex fractions with triangles and finding the ratio of the side to the height of a triangle. We then moved on to the addition and subtraction and multiplication and division of radical expressions. He initially made some mistakes on these kinds of problems; he forgot to distribute negative signs or square both the coefficient and variable of something. But, after practice, he was doing much better. He also had difficulty when a radical was being added or subtracted with a regular number in the denominator. After practice, he did well with this concept. Next, we talked about grammar and corrected his homework practice set. He made very few mistakes and then understood them once we went over them together. Then, we went over the next unit on pronouns and talked about how to avoid common mistakes with pronouns. We then went through the first practice set together. He did very well! He will do the second practice set for homework."
"We reviewed the student's math homework. We covered solving equations with fractions and decimals. We also covered math word problems with rates, compound, and simple interest."
"We learned how to multiply/divide decimals and convert fractions into decimals. We also did speed drills for simplifying fractions and multiplication tables."
"In this session, we discussed taking derivatives of composite functions that require the use of the chain rule multiple times and in conjunction with the product rule. We also worked on formulating a written explanation of why we did what we did."
"We went over power series. The student understood the basic definitions and theorems but was having trouble connecting them to previous sections and applying them to problems. I showed him the primary way to prove convergence of a power series and how to find radius/interval of convergence. We went over a couple of practice questions to make sure he understood how to complete them. We then reviewed his past work. He has a test next week."
"The student and I reviewed math instead of chemistry this week. He brought all of the notes from the classes he missed, which was very helpful. We reviewed all of the notes together. He completed all of the in-class example problems on his own as a way to better understand the material, and give him a solid foundation for completing his math homework. The topics we covered were isosceles triangles, sin/cos/tan, right triangles, angle of depression, angle of elevation, chords in a circle, and subtended angles. He needed help on the first few problems, but he quickly picked up the material and completed the majority of the problems on his own. I selected the most difficult problem in his homework, and he completed it correctly on his own. He should remember to use the pneumonic SOH CAH TOA when using sin/cos/tan. The concepts that he had the most trouble with were knowing when to use inverse sin/cos/tan. We covered this together, and he has the example we worked on together to look back at in case this comes up in his homework. He also has my email in case he has questions on his homework. I asked him to bring his last chemistry and math tests next week, so we can determine how to improve on test-taking skills. I really liked how he took the initiative to print and bring his math notes. This was very helpful for knowing what we needed to cover."