Recent Tutoring Session Reviews
"We discussed the Dot Product and Cross Product of vectors. We spent most of our time reviewing these concepts and completing the student's homework. After our session, she seemed to have a better idea how to solve the various homework problems and seemed understanding of the material."
"Today we worked on material and subjects relating to polynomials. Reviewed basic form of a polynomial equation and the standard form of a quadratic equation. Practiced graphing parabolas and identifying vertex, axis of symmetry and direction of parabola. Then moved on to using degree and leading coefficient of polynomials to determine end behavior of the function. After we worked on using synthetic division to identify factors of polynomials and using those factors to find the zeroes of the polynomials. Finished with a review of complex numbers. Went over a quiz student had recently taken and reviewed questions where points were missed. Identified together the "traps" in the questions and how to avoid them in the future."
"Today's session served as review for the student's upcoming precalculus quiz tomorrow. The focus was Law of Sines, as well as solving triangles completely. The Law of Cosines was touched briefly towards the end of the session."
"The student had started to learn about how to solve for the limit at a given point or over an infinitely small interval, and to connect this concept to the first principle of derivatives. We practiced lots of problems on her homework assignment."
"The student has a test tomorrow on all the trig we've been covering for her last couple of quizzes. After looking at the last quiz we began with the newer material - the law of sines and law of cosines. We then looked to the other review problems created by her teacher and she managed them quite well."
"Went over trig functions and their graphs. The student already had a good grasp on graphing. I broke down the true meaning behind every coefficient and constant apparent in the functions and shortcuts to applying them in graphs. We also went over the difference between even and odd functions which she understood quickly. We also reviewed some physics topics concerning work and energy. We went over her notes and I showed her how to apply them to multiple problems. We then went over a homework assignment in which she completed with little assistance. She has a test in pre-calc on Friday."
"The student and I worked on his review sheet in order to prepare for his test this Thursday. We discussed plotting sine and cosine functions and some basic trigonometric identities. I told him I would send him some extra problems to prepare for his test. I'll send these early tomorrow via the resources website."
"Reviewed logarithmic and exponential functions in preparation for an upcoming test. Completed unfinished sections of the review packet that had been distributed a few weeks ago (we've been slowly working through this packet), doing the problems on compound interest and solving equations with logarithms and exponents. Then reviewed graph transformations and domain and range by matching graphs of logarithms and exponentials to their equations. Finished by solving more equations that required factoring applying the exponential and logarithm rules. He should also work some problems where he is asked to estimate a quantity based on given values (e.g. given that ln(3) = 1.1 and ln(10) = 2.3, estimate ln(0.3), ln(90), and ln(2.7))."
"The student is sharp, catches on quickly, and asks constructive questions. In the first session, we covered basic graphing of logarithmic functions and rules for rewriting and solving basic logarithmic functions. Went through her take home test material, and plan to finish the assignment in the following session. In the next session, I would like to review and take notes on the principles we are discussing and try problems outside her assignments to ensure she is comprehending the information."
"Today, we covered a section of her problem set. These problems involved factorials and the canceling out of terms. Once we covered the trick of how to cancel out like terms in factorials, the student understood what to do. There were also a few word problems that involved some thinking. We ended the session by covering a partial fraction decomposition problem with three terms. The student hadn't had much experience with these, but once explained, she caught on very quickly."
"We spent the entirety of this session reviewing how to find limits from the graph of a function. The student initially struggled a bit with limits not existing when y approaches infinity and with finding limits on different sides of discontinuities, but over the course of the session she gained a better understanding of both cases."
"We covered hyperbolas and ellipses, converting between knowing about their standard form equations and knowing their various properties such as foci and vertices. The student has a good grasp on the material and is ready for her test tomorrow. My advice based on her concerns from previous tests is to wake up early tomorrow and review the material to make sure it all still seems good before the test."