Recent Tutoring Session Reviews
"The student had a few questions regarding exponential functions. We discussed her questions and reviewed the meaning of each variable in the basic equation. We then discussed the meaning of an exponential function in relation to interest. Then, we applied these concepts to discussing more difficult word problems including half life."
"We reviewed the topics and problems, again. In particular, we focused on Volume problems. I also had the student solve a couple of Work problems and Distance and Displacement problems."
"The student and I covered shell method and disk method. He and I reviewed the topic in the book and then I asked him to explain to me how to solve these types of problems. I helped him understand the concepts he was unsure of and then we began working through problems. The student was able to integrate using the boundaries and equations given."
"The student and I covered the analysis of linear regression models. Most of the actual calculations in this section are done via computer but it is important to understand the results and the theory. We covered simple and multiple variable regressions and the assumptions we make in accepting a regression model. The material was definitely dense and somewhat unexpected for him and me, but it went smoothly and was mostly just an application of concepts already covered."
"The student and I went over word problems comparing different populations. We calculated the mean and standard deviations for the differences in populations. I advised her to go over the section in her text, especially focusing on the examples the text provides, so that she will be better prepared for lectures in school."
"This meeting was mainly focused on helping her to complete a project. The teacher asked them to create a graph with an independent and dependent variable, to come up with a function describing the data, and to explain a few other aspects, such as whether the data was discrete or continuous. She chose to graph ice formation in Antarctica for every September from 1979 to 2012. She made a scatter plot and added a line of best fit to attain a somewhat accurate function. For the most part, she knew what to do, but she needed a little help explaining the difference between continuous and discrete data."
"The student earned 97% on her last test! Today she worked through her homework assignment on finding equations of functions from differential equations with particular solutions. Of the whole assignment there was only one problem especially difficult for her, which required u-substitution on both sides of the equation. After that I introduced her to the application of calculus to exponential growth and decay problems."
"We continued discussing applications of the integral, notably solids of revolution and density problems. The student has an overall pretty good grasp of the topics so far in the course."
"His homework involved geometry. Luckily, his book was embossed with the figures so the problems became very simple. I had to continually ask him how he was solving the problems because he knew how to do them without showing me the process. This is good, but difficult to gauge if he really understands unless I ask. The geometry eventually moved into algebraic representation and solving angles with systems of equations. This is slightly difficult since we have to be very clear on what we're defining. Taken slow enough, these problems were fine. We introduced some new notation, which is good for his braille learning and covered some new theorems including alternate interior angles, alternate exterior angles, corresponding angles, and vertical angles. We spent some extra time on these theorems in order to better cement them. He seems to understand well now."
"Reviewed current homework on factoring/grouping trinomials. after the student felt comfortable with his current homework we went back over old homework, answering questions and working through problems he wanted to review/check."
"The student has a test Wednesday so we just reviewed for that. His teacher provided a practice test to prepare so we went through it and he did each question and I helped him when he was stuck. We reviewed u substitution as a method of integration and various integrals that could have it. We went over separation of variables and exponentiation. We went over initial value problems for both exponential growth and exponential decay."
"We practiced questions on solving systems of quadratic equations with two variables. His homework asked for algebraic solutions which was how we solved them. I also gave him an overview of how to solve them geometrically as well, so he can see the connection between this section and the previous section regarding conics. The student understands the material very well once they are explained to him. He solved his homework problems without difficulty."