Recent Tutoring Session Reviews
"We solved triangles. I demonstrated for him how to use the law of sines and the law of cosines to solve for the missing angles and sides. We spent some time talking about the difference between inverse cosine and secant. I compared it to other inverse functions, such as sqrt(x) vs 1/x^2 as inverses for x^2. I gave him SAS and ASS triangles to work. He solved the SAS triangle using law of cosines. I was very specific on when inverse (co)sine cancels (co)sine and when it doesn't. I gave him examples of each. The ASS triangles I gave him were of three types: one solution, two solutions, no solutions. I showed him the geometric picture of a circle intersecting a line and how it relates to these three scenarios."
"I began by walking him through the basic concepts of logarithms and exponential functions. It was a lot of new material, but the student ended up understanding it well after we did some practice problems. In fact, after we finished the homework set, he hoped that the rest of the chapter will be this easy."
"The student was preparing for her test on polar coordinates. We reviewed representation of points in multiple forms in polar coordinates. She also wanted some clarification on the polar rose. We covered how to graph it and determine the equation from the graph. We also covered how she could visualize the limacon to better understand how it relates to it polar equation."
"Because the student had a Pre-Calc test and did not have Chem homework due for another week, she asked that we spend time studying Pre-Calc rather than on Chemistry. We went through the 7 or 8 sections that were going to be covered on the test and she knew a lot of the material. Anything she did not know we were able to look up and review. The test is on sequences, series, and probability. Just as she shows in Chemistry, she has good math sense and is able to figure things out quickly. As long as she memorizes the equations, I believe that she will do well on exam questions related to the material we reviewed."
"The student was sick this week and missed a few days of school, so we first went through the PowerPoint/notes that she had missed from class. It covered the beginning of limit, and had a few example problems explaining the theorems and how limits could differ from the definition of functions. She mostly understood all of the notes and the material in the PowerPoint, but there are some calculator tricks that she plans to ask her teacher about tomorrow to help speed up the process of finding binomial coefficients. For the rest of the session we worked through part of a worksheet that she has due Monday. The worksheet was over the material that she was already quizzed on last week (arithmetic and geometric sequences), so she was comfortable with it and needed minimal help on it."
"Today we worked on statistics and probability. The student has a test coming up and had a couple areas of concern. Overall, she had a good understanding of the logic behind these problems, and only got caught up on some of the execution. We spent a good amount of time going over histograms. We watched a video that clearly explained how to do it. After practicing it a few times, the student seemed very comfortable with the material."