Recent Tutoring Session Reviews
"A week and a half ago the student had an exam over the final units of her Trigonometry chapter 4. The material covered sine, cosine, and tangent functions and their transformations/translations as well as conversions on the unit circle. She earned a 90% on that exam, the best score she has received all year on a math test-- she was very excited to tell me that she believes her tutoring has tremendously helped increase her focus on the important parts of the material. This session we used as a refresher and review for many complicated topics over the course of her last semester (her final exam is tomorrow). The material covered on the final included 2 chapters before the student and I began to work together, so many of the questions she had were over these chapters on statistics. Specifically we covered summation notation, measures of centrality, calculation of percentiles and standard deviation. She had a few questions on trigonometry but for the most part felt comfortable with the material. She had done a great job preparing for our session, having reviewed on her own prior to our Sunday meeting so we were able to hop around her review sheets and collaborate on some sample problems from her teacher's study guide."
"The student and I went over as many things as we could in order to prepare her for her final exam. At every step along the way, I tried to explain how each concept related to the whole endeavor of statistics. The major topics we covered were: the differences between populations and samples; simple probability problems; using probability distributions and z-scores to calculate probability and percentiles; visually and graphically representing both quantitative and categorical data; the differences between bar charts and histograms; and, sampling theory and biases as a threat to validity. We focused most of our attention on the concepts and how they all relate to one another. I left her with some review work and the notes we took. Overall I think our tutoring session went quite well. She seems confident, and I think she will be well prepared for her exam if she continues working on the concepts that we covered today."
"We covered Lesson 1.7 & 1.8 homework packet provided by her school teacher. We covered the following geometrical concepts: 1). Construction: Reflection of triangles and quadrilaterals over given line using compass and straight edges. 2). Rules and Notations for the reflection of geometrical shapes over x- and y- axis, translation(shifting right/ left/ up/ down), and rotation(90, 180, 270 degrees clockwise and counter clockwise). 3). Literacy and mathematical difference between the concepts of congruence Vs. similarity, and how do the tie in the concepts of rigid transformations: reflection, translation, rotation, and dilation. 4). Compare and Contrast: how do twice of reflections over perpendicular lines equal one transformation of rotation?; How do twice of reflections over parallel lines equal one transformation of translation? 5). Video: How to find component form of a vector? 6). Vocabularies: Pre-image, reflected/ rotated/ translated image, initial point of a vector, terminal point of a vector, vectors, component form of a vector, SSS congruence postulate, and SSS similarity theorem. The student faced minor conceptual mistakes, but learned all the concepts thoroughly."
"We went over the mean value theorem for derivatives and integrals, so the student was clear on both. We then reviewed the fundamental theorem of calculus (both parts), to show that the derivative of an integral of a function is the integrand. We did a few problems of this type. We also went over the other part of the fundamental theorem of calculus -- the evaluation part -- and did a few problems. We reviewed briefly Riemann sums, especially the smaller one chooses their delta-x -- the closer the approximation of the area. To be sure she understood all of Chapter 5, we went over numerous problems in the end of chapter review."
"The student has a test over radicals and rational exponents on Tuesday. She had two review assignments to get ready for the test. She had already completed one, but had a couple questions that we went through. She worked through the other assignment. She did not finish this at the end of the session, but we did go through every type of problem on the assignment. For the most part, she is strong with the process of simplifying radicals and simplifying expressions with radical expressions. However, she did struggle starting out with some of the problems. I showed her some tricks and some things to look for to decide if she should use exponent rules first or try simplifying radicals first. My suggestions for her was to spend 15 minutes going through the assignment (since she had all of them correct) and look for the reasoning behind why she performed a certain step. The other thing she needs to work on is memorizing perfect cubes, powers of 4 and 5 since she will not be allowed to use a calculator. She was able to recognize more than last time. Her reasoning skills to come up with these numbers is very good."
"Tonight, we reviewed the topics of inverses and circles since the student previously noted that he wanted additional practice with these areas. We completed these topics together and I left him with a review worksheet of math material to complete by our next session."