Recent Tutoring Session Reviews
"The student and I began our session by going over some missed problems from one of his past pre-calculus exams. The problems covered a wide range of subjects, but we started with one involving the law of cosines. We were given two sides to a triangle and the angle between them, so all we had to do was plug the values into the formula for the law of cosines to find the length of the other side. We then covered several other topics, including Cramer's rule, sequences and series, solving trigonometric equations along an interval, expanding logarithmic expressions, and using Pascal's triangle to expand a polynomial. He understood all of the material very well and had no difficulty working through the problems with me and asking questions when he didn't understand something."
"During this session we worked on her homework assignment. The assignment was based on finding the properties of ellipse equations and graphing the function. We worked together on writing the equation in standard form and this helped her figure the properties out. Then I reviewed the concepts she had learned this week in her class. The concepts we reviewed were graphing parabolas and writing its equation in standard form by completing the square. We worked through several examples for these concepts and she did a great job solving these problems."
"I worked with the student on the last of her homework of the chapter, covering the law of cosines and area of triangles given SAS or ASS measurements."
"The student is still working on logarithms, and was getting ready for the end-of-chapter test. We reviewed and did practice questions on the parts he was having trouble with. He is great on expanding and contracting logarithmic expressions, but needed a bit more help with knowing when to go back and forth between the exponential form and logarithmic form of equations."
"The student and I covered deriving the Law of Cosines. Most of the problems we solved together revolved around the Law of Cosines. One application of the law was analyzing the different ways in which we could find the relationships between area and leg length of triangles. Heron's (aka Hero's) Formula provided us with the connection to triangles. We learned that trying to do too much algebra can prove very difficult in contrast to some simple geometry when trying to solve a problem in where we had to find the 2 angles for a triangle with 2 fixed legs that cause the triangle to have various areas."
"This afternoon the student worked on her homework and then reviewed some of the concepts from the earlier sections of the chapter. The homework was about rational graphing and asymptotes. This went well overall. She had no trouble with horizontal asymptotes and has gained a much stronger understanding of end behavior. After the first few problems, she knew exactly what to do. Her chapter 2 test will likely be the Monday or Tuesday after our next session, so we started planning for test review. So far we reviewed the first section, and she remembered how to do each of the concepts introduced there - and there were many!"