Recent Tutoring Session Reviews
"During this session, we practiced factoring polynomials. Such methods included: graphing polynomials, solving for routes, and synthetic division. We also discussed the fundamental theorem of algebra, as well as theorems outlining the properties of imaginary roots."
"The session seemed to go very well. We went over some homework problems, making sure he understood certain concepts, such as various ways of calculating SD and how z-scores work with a normal curve."
"We worked on inverse functions and radical functions. She's a quick learner and asks really good questions, and she likes to push herself to be able to answer the hardest problems, which is great. She has test coming up, and she says her teacher tends to throw in some extra difficult problems, so we went through her review questions and I picked out similar and extra problems. I gave her a few tips and tried to pick lots of problems involving fractions. She's gotten better with complicated fractions, and I think she's a lot more confident with the material, so I think she'll do quite well on the test."
"The student and I talked about type 1 and type 2 errors, power, and how they all relate to each other. We went through some practice problems using those concepts. Then we looked ahead in the chapter and talked about two sample t tests and how they related to two sample z tests."
"We covered integration via trigonometric substitution. The student received an "A" on her first calculus exam. I believe the average score was a C. She was pleased with her progress thus far. From our Calculus I review, I am confident that she can handle most of the types of limit problems she will encounter in Calculus II."
"Today, we worked on writing equivalent rates using conversion factors and solving proportions. Once the student understood how to solve each type of problem, he quickly mastered the homework that was assigned to him"
"We covered the test review packet. The topics included derivatives of trig functions and natural log functions, the unit circle, steps in solving integrals, and u-substitution. I can tell she is making progress and her confidence will build soon too."
"Today we worked on her math project. The project was on inverse variation. She had to make several charts and graphs for data on pressure and volume. She understood the relationship between volume and pressure, but had a little more difficulty for the part of the project on pressure and time. We worked together through that section of the project."
"Her test on conic sections and combining quadratic equations was on the next day. We went over the study guides and practice problems of ellipses and hyperbolas, graphing and locating the relevant information (e.g., vertices, co-vertices, foci, asymptotes). We went through the process of translating given information and from word problems into vertex form (for circles, ellipses, and hyperbolas). We then went over combining quadratic equations, using both substitution and elimination. We also went through her last quiz."
"Today was the first session with the student. We worked on different types of variation (direct: y = kx; indirect: y = k/x; and joint: y = kxz or y = kx/z). In order to practice, we worked through each sample problem in the chapter and then the related problem in the practice set. He then tackled the actual homework. As he progressed through the homework, he appeared to become more comfortable with the process of working the problem. Our next session will focus on functions."
"The student has a test on Monday on integration so we reviewed for that. We completed an old test that his teacher gave him as well as assigned practice problems from his textbook. We reviewed integration by u substitution for trigonometric functions, polynomials, and exponential terms including natural logarithms and e^x. We talked about slope fields and how to determine the corresponding function and how to draw one yourself. We talked about how to solve an initial value problem using integrating and substituting constraint equations to solve for the constants of integration."
"We spent our time today working on matrices. We first focus on labeling the dimensions of a matrices and identifying the location of the elements of the matrix. The student picked up on this with no problem. She had worked on the sections involving adding and multiplying matrices on her own but we went over it together. We then spent the rest of the time working on finding the determinants and inverses of matrices."