Recent Tutoring Session Reviews
"The student and I went over Chapter 2 in the form of a review guide. We covered how to write equations of parabolas in all forms; how to find the vertex, directrix, focus, axis of symmetry; and transformations of parabolas. We also went over using the distance formula to find the equation for the parabola when given the focus, directrix, and a point (x,y). He did well with these. We will continue with the review on Wednesday."
"The student and I went over divergence and convergence of infinite series through the alternating series and the ratio tests. We also went over absolute convergence, interval of convergence, and radius of convergence through the ratio test."
"The student and I went over equations in exponents, how to translate them into logarithms, and various log rules to help solve for a variable in an exponent. I went over several problems and gave him several example problems to go over. At the end of our session, he understood well. I emphasized that he needs to continue practicing on his own to be successful in his class."
"The student and I went over evaluating and simplifying algebraic expressions, solving equations, solving inequalities, finding the domain and ranges of functions, evaluating functions, writing equations of lines (in standard form, point-slope form, and slope intercept form), direct variations, and solving word problems. The student wasn't really struggling with the concepts, as she just needed a review on all the material. The student had a very positive attitude and was able to quickly pick up the concepts we covered. I tried to include some strategies for the different types of problems as we went through them."
"The student and I went over factoring and expanding equations. He had a good grasp on the FOIL method for two expressions of two terms each, and good habits of showing all steps of his work. He needed to see an example of how to approach three expressions, (x+a)(x+b)(x+c), to use FOIL, for two expressions to get (x^2+(a+b)x+ab)(x+c), and then use FOIL on the two remaining expressions. We also went over how to approach something like x(x+a)^2. We also went over how to factor, how to identify the factors, or to complete the square. The advantage to using completing the square or the quadratic formula is that it works on every equation. He has a lot of good math habits, and is detailed oriented. He does need to see an example worked out if the technique is new, and then he is able to work it out on his own."
"The student and I went over factoring polynomials and difference of cubes. She is very comfortable with factoring now. The only thing left to do is push for speed. We will continue to work on that. In chemistry, we talked about ionic solids. She mentioned that her teacher introduced ionic solids, but did not go too much into depth about polyatomic ions. These ions will require memorization most likely, and once she has them in her head, everything should be fine."