Recent Tutoring Session Reviews
"We continued working on calculating volumes of solids generated by revolving functions around the x-axis or the y-axis. We reviewed the disk and washer method and compared the methods to the shell method. We also worked on problems with volumes rotated around other function lines on a graph."
"The student is preparing for a test in Calculus on the section about using integration to find volumes. We focused on practice problems using rotation of shapes created by equations around different points. She already has a pretty strong grasp on these concepts, but I showed her some tricks and rules of thumb to speed up and/or smooth the process. We discussed how to determine if you integrate a shape in dy or dx, and when to use shells and when to use slices. Next, we briefly discussed the average of a function, before moving on to work problems. We worked through several work problems, in which I helped her to determine how to turn a real life scenario into something you can calculate with a single integral."
"The student has not taken the retest we prepared for last time. Today he was working on rational expressions and asymptotes. We reviewed the different kinds of asymptotes and why they arise, and I asked him to explain this back to me several times. He understands each individual piece as we go over it, but there's a lot to keep in mind at once, what with the x- and y-intercepts, various asymptotes, holes in domain and range, and having to come up with good test values when graphing by hand. He will get all of it, I'm sure, with a bit more practice. We also worked on adding, subtracting, multiplying, and dividing rational expressions. Basic fraction operations will need some review."
"The student has a test coming up and wanted me to help him get ready for it. The test will cover chapter 3, which covers converting between fractions and decimals, rounding, and order of operations. Ali is showing a lot of improvement in these areas, but still sometimes struggles with some of the terms. As we continued working with them, he seemed to have a better idea of what the terms meant, and how to use them. I have asked him to continue studying on his own to finish preparing for the test."
"The student and I continued to go through his homework. His teacher decided to give the class some problems on rational expressions which is different from the ellipses, parabolas, and hyperbolas were doing last time. It has been awhile since the student and I have done these types of problems. He was a but rusty, but improved as the session went on. The session was productive but he needs to finish the assignments now on his own to reinforce the learning. I did not assign him any homework because his teacher gave him plenty to do."
"Only two school days had passed since the student's and my last session, so her class had only covered one topic: synthetic division. The student understood this topic well already, so we simply covered a few problems from the textbook and discussed possible forms of notation for the remainder. We finished quickly and I feel good about her progress! Our next session is on Friday, so we will be able to focus entirely on new material then."
"The student and I started going over series today, which is just adding up sequences, and he didn't have any problems. We moved on to calculus which was a little more difficult. He got better with setting up the summation notation with more practice, and we will continue working on all of these topics in our next meeting."
"For today, we went over the student's homework which was about translating word problems into algebraic expressions. He got it, but could still use more practice. I also assigned him to do extra long division and multiplication of decimal number problems that are due next week."
"Today, the student and I reviewed confidence interval theory and concepts and conducted examples of confidence interval exercises. I explained variables used to convey confidence intervals and relate to aspects of standard deviation. I also conducted a preview of future concepts and reviewed completed homework exercises. I assigned homework that included confidence interval calculations and normal distribution."
"This was my first session with the student. She is a bright, well mannered little girl. We will need to work on her pre-algebra foundation - fractions, definition and operation of properties, both multiplication and division. I will work with fractions first, in addition to problems with various operations."
"We did some review problems with logarithms, preparing for her test this coming Tuesday. First, we just did work changing the form of the logarithm to an exponential expression, and vice versa. Then we did logarithm equations, first some simple single logarithm problems, and then we moved on to more complicated ones, that had multiple logarithms adding or subtracting. She understands logs very well, and can manipulate them well. She is improving on negative and fractional exponents and will improve more with more practice"
"We prepared for her test on the following day (3/12) on chapters 11 (statistics: normal distribution, population parameters) and chapter 12 (arithmetic and geometric equations). We went over her homework and notes, and then did practice problems from the book. She did well on the chapter 11 quiz. She should do well on her test."