Recent Tutoring Session Reviews
"Today I worked with the student on the beginning of Chapter 10 involving radicals. The homework she was given was much harder than the notes she had been given, but I believe she understands the concepts."
"The student and I finished talking about acids and bases. We also talked about starting her algebra II review. We'll make sure she gets through it over the next few weeks to get her ready for her final."
"The student was working on simplifying polynomial fractions at school, so we did a little review of factoring and spent the time working on that. It was a good way to get back to math after a break, and she had definitely gotten the hang of it by the end of the lesson."
"The student had some problems on double angles covered in class that we looked at for this session. I went over 3 examples with him, before I had him do some himself. I also went over simplification of fractions with him."
"The student and I reviewed math with exponents and radicals. We also covered factoring exponential expressions from functions and equations. I reviewed the five basic rules of math with exponents and another three rules to correctly reduce and simplify radicals. We also reviewed rationalizing both the denominator and numerator of fractions with radicals using simple examples and more complex problems which needed conjugates. Even with various examples, she was able to learn quickly and prove her new knowledge with checks. I was also able to shortly introduce imaginary numbers, math with imaginary numbers, complex numbers, and graphing complex numbers on the real and imaginary axes."
"In this session with the student we started a new topic for his algebra class which mainly included completing the square. We went over his notes for method to do this process then proceeded to complete his assignment over this. We discussed the formula used to set this up, factoring, and power properties. He is doing well on this topic as well as overall in his class."
"Today, the student and I practiced evaluating line integrals using Green's Theorem. It took some demonstration to get him up to speed on the concept, but we got there."
"His curriculum has him completing packets of material that correspond to each six weeks. He had already begun an algebra packet, but had some questions on past material that he had forgotten, specifically composition functions, domain, and range. We reviewed these topics, and he was able to complete his packet. We then began to look over the Chemistry packet. We discussed the method for this with binary ionic compounds (simply make the second ion end in -ide). After this, I showed him a copy of a polyatomic ion chart from which to draw names and charges in order to name and identify chemical formulas for each element."
"Today, the student and I worked on FOILing polynomials. This is the process of taking polynomials and redistributing factors to create one, expanded polynomial. He did not need any assistance from me today with the exception of talking out his answers for a few problems. He seems to understand the material and is doing well. He told me he took a quiz recently and he thinks he did well on it. I have no concerns leaving this session."
"During this session, mitosis of animal and plant cells were reviewed. Also, basic algebra using 2 variables was also reviewed, and the student was surprisingly adept at understanding the concepts during the session. During the last few minutes during the session, functions of lines were touched upon."
"We covered the review of Taylor series, Maclaurin series and the Lagrange remainder. The student was left with 7 functions to find the power series, and in the next session we will move on to power series, the radius and interval of convergence, and finding power series through integration."
"Today, we went over various homework problems pertaining to sequences: identifying whether or not a given sequence was geometric by recognition of a common ratio (or lack thereof), writing the first several terms given a1 (term 1) and r (common ratio) or a(k) and a(k+1), forming expressions for the nth term given the first 4 terms, etc. The student does well with use of the equations, and just needs a bit more practice on problems calling for less formulaic/more abstract recognition. So I'll be sending her a few notes/detailed examples to hopefully clarify all relevant topics before Friday's quiz."