Recent Tutoring Session Reviews
"Worked with the student on sketching the graphs of polynomial functions, given the end behaviors, roots, and multiplicities. We revisited word problems involving polynomial functions (specifically degrees of 2 and 3), as well as writing equations of quadratics given 2 points, one of which is the vertex. We reviewed Descartes' rule of signs, the rational root theorem, and then used them in conjunction with synthetic division to obtain the roots of polynomial functions. We reviewed writing possible equations of polynomial functions given their roots, multiplicities, and end behavior. He was able to do most of the concepts well with a little prompting; he is becoming more confident. He has quiz tomorrow and a test next week."
"Yesterday, we covered the basics of TSA, including doing the first test which included the explanations of results. Important topics included establishing the givens from long word problems, dealing with odd-even situations as in book pages, and dealing with intervals."
"After getting oriented, we used parabolic equations as review device for basic algebra, functions, factoring, and complex numbers. Next session, we will start going over topics/questions in the first few sections of the pre-calc book that the student is having difficulty with. She should continue working on the first 18 chapters of her book."
"After reviewing the student's homework, I quizzed her on the unit circle, which will come up in her class. Without coaxing, she remembered the very basics, and with a few reminders, she easily filled in the rest, including key radians and points. We focused the rest of the session on different functions and finding inverses, as well as transcribing them into graphs. She has an inclination for algebra, and the multi-sensory approach (using graphs) worked best to help her solidify concepts underlying functions and inverses. I recommend that she continue to review the unit circle until she has it down cold."
"After today's session, I am very confident that the student is able to tackle any partial fractions and factoring problems that come his way. He did a great job and was focused and calm, even when problems got challenging. We're nearly there!"
"Concepts covered with the student were evaluating determinants of 2nd order, 3rd order, and 4th order matrices. I also covered solving systems of equations by Cramer's Rule. I left her additional practice problems based on the concepts covered."