Recent Tutoring Session Reviews
"Today's lesson focused on the fundamental counting principle. This simple multiplication rule was easy for him to ascertain. These problems were fast to solve and no issues were had. Since we covered this material so quickly, we moved on to permutations. This was a bit more complicated. After spending some time on how to easily simplify factorials, as well as explaining what permutations are and how we determine how many there are, this section went smoothly. His understanding of the material is impressive."
"This afternoon I worked with the student on one sample and two sample proportion hypothesis tests and confidence intervals in order to help her get ready for her upcoming test. We worked through about 15 problems and talked about conditions, interpreting results and types of errors that can be made."
"We used the student's calculus textbook to go over integration by parts and trigonometric integrals. He understands the material very well, so we focused on the harder problems. For homework, I assigned problems on trigonometric substitution, partial fractions, L'Hopital's Rule, and improper integrals."
"The student has a quiz tomorrow on integral problems involving graphs and solving differential equations. We worked through some that her teacher provided, after which I made up my own for extra practice. She is a little rusty on some old material (e.g., knowing how to use first and second derivatives to find relative extrema and points of inflection), but I made sure that we took good notes so that she'd have plenty to continue studying with."
"This was my first meeting with the student and it was great to get to know him. He is a talented, passionate student whose biggest struggle with math seems to be that he rushes through calculations at a breakneck pace that often gives rise to small errors that affect his answer. We went over some old tests and quizzes as well as some incomplete class notes - and I had him walk me through the process of answering the questions. He definitely seemed to have a grasp of the material, but would often jump to conclusions that would result in the wrong answer. I worked with him towards understanding the relationships of the numbers and functions at a more fundamental level and he seemed to really open up to this understanding. I think he and I will be working on finding ways of understanding the mechanics of these mathematics such that he can generalize on the examples he learns in class."
"We started going over probability during this session. It was pretty basic prob topics, mainly dealing with outcomes from the formula # positive outcomes over total outcomes. Most of the questions involved dice outcomes and independent vs dependent events. We will continue going over more prob next meeting."
"We covered hyperbolas: standard form for both vertical and horizontal major axis, foci points, vertices, slant asymptotes, graphing, and word problems. The student struggled at first with graphing hyperbolas given their equation, but after I showed him how, he quickly caught on. He had the rest of his homework to finish."
"We discussed direct and inverse variations, including how to derive them from more practical word problems. We also covered joint and combined variations. We practiced this with a few dozen problems attacking the topic from different angles."
"The student completed problems using critical value of t- table. We devised when to use parameters based on sample size and standard error. We also resolved when a system is robust or data is skewed based on sample size. We reviewed z critical value and confidence interval from previous lessons."
"The student and I studied multiplying polynomials today, through both distribution and binomial expansion. It took a lot of explanation and practice, but I could see him improving greatly as we progressed through the session, especially once I started forcing him to write out all of his work in correct notation instead of shorthand. We also re-previewed polynomial division and took a further look ahead at factoring and the rational root theorem."
"We worked on a lot of practice problems for finding the area between 2 curves using definite integrals. Also found distance and displacement for linear motion using equations of acceleration and velocity."
"The student has an algebra 2 exam tomorrow, so he wanted to go over his review packet to make sure that he has mastered the material. The exam will be covering simplifying, solving and graphing rational functions. For graphing, he seems to have a pretty good understanding of what to do. He knows how to find the vertical and horizontal asymptotes, holes, and x-y intercepts. He is using the method of just finding multiple points and graphing accordingly. Overall, he appears to be a good place with the material."