Recent Tutoring Session Reviews
"We discussed common trig function graphs again. We delved into the modifications made to graphs, and how that relates to the graph. I taught her a new concept of graphs, which involved changing frequency, and how it increases the number of cycles in a period."
"The student and I continued our work on exponential and logarithmic functions. The student continues to surprise me with his natural affinity for some of this stuff. He picked up on some of the more advanced tricks really quickly! We then got to the third section in the chapter, which is still logarithms, but some more elaborate identities and rules. I had him to a few of the most advanced problems and he was able to do them all with some guidance. After that, we discussed the exam he was going to be taking soon. I gave him some encouragement/pep-talk and tips, and I'm expecting a mid-A! Like a 95."
"Today, we covered chapter 10 of her textbook and specifically covered the topics of conic sections, circles, ellipses, hyperbolas and parabolas. Specifically we went over how to determine the foci, vertices, and various other significant features of those conic sections. We also went over some minor algebra techniques such as completing the square in order to obtain certain values. As for particular strategies, I suggested that she not only return to her textbook, but do some practice problems with the answers in the back of her book so she may further practice what she will need for the exam. I should be returning tomorrow to continue the second half of chapter 10."
"Today, we completed the student's review for his quiz tomorrow. We worked on solutions of trig identities (which the student showed great improvement on!) . Then, we worked on trigonometric identity and proof problems. Some of the questions were very challenging, and the student did a great job recognizing how to manipulate the equations. The student still needs to review the unit circle, but he is showing great strides in that area."
"The student and I spent the session working on triangle analysis, primarily Law of Sines and Law of Cosines problems. We worked through a handful of problems from her textbook and focused on the step by step approach to getting a solution. I also spent some time pointing out various facts related to triangles and sine/cosine that she could use to help her self-check the answers she was getting. These included the range of sine/cosine and the relationship between angles and the size of their opposite side. We also briefly reviewed the two special triangles (45-45-90 & 30-60-90). I left her with a general recommendation about how to optimize study time and a suggestion for how she should approach memorizing the Law of Cosines."
"We went over logs and how to solve equations involving them. We used the rules of logs to manipulate the equations to solve for our unknown variable. The student works well in a one on one environment and picks up the material quickly."