Recent Tutoring Session Reviews
"The student is continuing her lessons in trigonometric identities and formulas, with a focus today on half-, double-, and triple-angle formulas, and angle sum and difference identities. She has already memorized, by herself, much of the Unit Circle, and uses a "mirror" technique I showed her to infer the sine and cosine values of angles between 90 and 360 degrees. She did two short quizzes all by herself and earned 100% in each."
"Today we reviewed trig functions and how they relate to triangles. We worked through many problems that gave various angle and side length measurements and required the use of trig functions to find the other values. The final problems were word problems involving a kite and finding how far off the ground the kite was. She is still working on identifying the opposite, adjacent and hypotenuse. Once she has identified which is which, she is able to use the trig functions correctly."
"We went over the student's review packet for his final. We had the opportunity to review most of the topics including factoring polynomials, synthetic division, projectile motion, vectors, parametric equations, logarithmic equations, conic sections, arithmetic and geometric sequences. I recommended he review any formula he was not sure about."
"We reviewed binomial expansions, solving exponential equations, completing the square, and identified the area under the curve. The subjects have long and intimidating names, but we broke down the questions and worked on it all together. Once that happened, everything seemed much easier. I suggested to the student that he look up Pascal's triangle and review that. I also suggested that he do the questions his professor suggested he do from the chapters in his book and ask me questions if he needs help on them. Strategies mentioned in this section included equations and then breaking down how to find the area under the curve."
"Tonight, the student and I continued to work on graph analysis by discussing asymptotes, holes, and a function's domain. We further practiced working with limits, which I believe is a topic he is becoming more comfortable with. These practice problems led into working on evaluating types of discontinuities. We finished the session reviewing different types of graphing such as parabolas, circles, and ellipses. He has been making good progress since our first session and continues to ask great questions that will further his understanding."
"Today we finished the student's review for her pre-calculus final. I stressed going over any shaky concepts and made sure that she was sure on everything that she either knew or didn't know. We went over trigonometry, vectors and triangles. Her final grade will depend on how much she goes over the material that we discussed last night. I stressed that she needed to review by retrying every type of problem at least once. She has a very high potential, as once she is prompted she can solve any problem presented. She just needs to get to the point where she is asking the prompt questions to herself so that she can truly dominate. Math at that point will no longer be an obstacle."