Recent Tutoring Session Reviews
"In this week's session, we solved equations using trigonometric identities. We used the unit circle to solve equations with multiple possible solutions. We also looked over an old test and made some notes about what went wrong on a couple questions. There is one question from the test that I encouraged the student to ask his teacher about because it appears he did the correct work and simply filled in the multiple choice box accidentally incorrect. Also, he noted that he is no longer failing the class! This is a great step."
"We had a long review session on all the material necessary for the test that the student will take tomorrow. This included the unit circle, radian-degree conversion, polar coordinates and their relationship to rectangular coordinates, conversions between rectangular and polar forms, and special polar curves (circles, rose curves, limacons, cardioids, and lemniscates). We talked about strategies to do conversions between polar and rectangular forms. We discussed the relationship between the polar equation and the graph of special curves; how to identify and draw each curve. Although it is a large amount of information, with some practice the student will most likely do excellently on her test because she now has all the information and strategies necessary to solve problems related to the material."
"The student completed all of this week's homework on exponential and logarithmic functions. For the most part, he understands. But, he relies heavily on his graphing calculator instead of looking at the equation logically to determine domain/ range, etc. We will work on that in future sessions."
"We began reviewing for the SAT. The student understood the material, but I will introduce time-saving strategies including a system for maximizing correct answers given a short time span. I encouraged him to write out his work instead of doing it in his head. For homework, I assigned practice sessions and asked him to use the system he learned today while completing them."
"The student and I worked on exponential and logarithmic functions today. We started by going over her worksheet and looking at translations of exponential functions, as well as how they affect the domain, range, intercepts, and asymptotes. After that, we worked on modelling interest. She was able to do a couple of multi-step exponential decay and growth problem with some guidance. Finally we did some of her homework problems. She did well on the interest problems. This was a good session."
"The student and I worked on her new precalculus chapter, which involves limits. We skimmed her notes from class, and I explained the basics of calculating limits from the negative and positive sides to determine whether a limit exists. We then reviewed the student's homework, which required her to determine limits from graphs, from functions, or from both. She did not understand the problems at first, but after hearing a thorough explanation, she caught on quickly. She was at first more comfortable with graph problems because of the visual aspect, and eventually, she became comfortable with functions without graphs as well. After reviewing her homework, we moved to chemistry because she wanted help with solubility curves. I explained the overall concept of what a solubility curve represents, and then we worked to solve different kinds of problems involving proportions. Again, she responded well rather quickly. We did a couple of examples of each type of proportion problem but left a few so that she can work on them independently. Overall, we were able to clarify two large concepts in what was a very productive session."