Recent Tutoring Session Reviews
"We reviewed the previous tests and quizzes and reworked problems that he wasn't sure how to do. Topics covered in depth were function symmetry, completing the square to solve the roots of quadratic equations, determining the max/min of a quadratic function by finding the vertex, interpreting the x and y intercepts of a function in the context of a word problem, providing the equation for a parabola given its x and y intercepts, determining the range and domain for functions (the latter is found by finding the range of the inverse), and confirming that functions are inverses by seeing if f(g(x)) equals x."
"We worked on series and derivatives, the latter of which is not part of this course. The student is struggling with the fact that her teacher is making things up as he goes along and is not following any course structure."
"We worked on section 4.1 polynomials, coefficients, constant term, long division of polynomials and line quotients, polynomials and polynomial quotients, factor theorem, division algorithm, and remainder theorem."
"We reviewed logarithms and inverse functions again, focusing on all of the properties involved with logarithms. We also went over elimination with the use of matrices so that the student could better understand the challenging process. Lastly, I taught her how to find the domain of functions and gave her many examples to practice. Overall, we made a lot of progress. I am confident that she has a solid understanding of the topics we went over."
"Tonight we started on new material covering polar coordinates and graphing polar equations. The majority of our efforts were spent converting between the two forms and familiarizing the student with the equations as well as where they come from and how to derive them on his own if he should forget them as they are simply based off simple trig and Pythagorean theorem. Overall, the process was relatively straightforward and he did not have any major issues. We will continue next week in more detail."
"During this session, we covered concepts in trigonometry. In particular, we went over graphing sine and cosine curves with different amplitudes, phase shifts, and periods. The student showed satisfactory understanding in all of these areas. He remained engaged during the entire session, and showed significant progress. He typically understood concepts after they were explained only once. After his homework was completed, he was introduced to new concepts: the Pythagorean and reciprocal identities for trigonometry and graphing secant, cosecant, tangent, and cotangent curves. I look forward to seeing him next week."