Recent Tutoring Session Reviews
"I worked primarily with the student reviewing for his final exam. We worked through his review packet that his teacher provided, and I reviewed the work he completed prior to our tutoring session. I also went more in-depth with certain topics, specifically circles, as his teacher didn't emphasize them strongly in the packet. I wanted to make sure the student was prepared for questions in regards to them in case his teacher asks about them on the final exam."
"The student is learning how to interpret the language of word problems so that he can perform the correct operation to solve a problem. We discussed the fact that "per" means "each," and problems that contain the word "each" (or its equivalent) require multiplication or division. We also talked about how to determine which of the two to use. I showed him a way of doing a quick check with units to make sure he is using the correct operations--e.g. when miles are divided by miles per hour, the "miles" cancel out leaving hours--the correct unit label for a problem that is asking for an answer in time. We then moved on to section 3.3 in his text. This explored the relationship between tables of values, graphs, and equations. He could easily compute the values for a table as well as graph the resulting ordered pairs, but we will continue to work on converting words into algebraic equations."
"We focused this session on working through homework dealing with solving equations involving rational functions. In particular, we discussed the process of finding the least common denominator and using it to turn the function into a linear or quadratic problem. As a related topic, we again returned to how to factor and solve quadratic equations. The student has shown considerable improvement in factoring quadratic equations but is still somewhat shaky on how to solve them. We ended the session working on some word problems dealing with rational functions, discussing both how to set it up and some good bookkeeping practices for word problems."
"We began a comprehensive review of materials for the student's math final. She was engaged and eager to learn the material."
"Today we covered the unit circle and trigonometric wave functions. The unit circle problems involved graphing the angle and determining the radial coordinates. The problems for the trigonometric functions involved identifying the individual parameters of the function (e.g. amplitude, phase, etc.). With the unit circles, the student needed help with understanding what the assignment wanted. We figured it out and he understood the concepts just fine. The same was true of the trigonometric functions assignment. I left him with some advice. I told him that he needs to relax, take his time, and examine the problem piece by piece."
"We covered t-tests and ANOVA. We worked through some problems in hypothesis testing, comparing two samples and determining if there was a significant difference in means. We also used ANOVA to test the effects of weight loss programs. Since the student was unsure of ANOVA, we discussed the underlying theory, fit the model, and interpreted the results. We also looked at Tukey's HSD test to find the specific effect that caused the difference. The student found the session to be very helpful."