Recent Tutoring Session Reviews
"Today, the student and I covered Trigonometry. I taught him a technique for the unit circle so he could find the values of the major angles in the circle. We went through his worksheet, which worked on reference angles, sin, and cos. All these concepts were new and it was a lot of information, but with practice, he will understand it. I suggested he look at the unit circle and do his best memorizing as many values as he could."
"We reviewed material in preparation for the student's upcoming exam on simplifying functions, half and double angle identities, and sum and difference identities. He continues to build his confidence and understanding of the material. He has improved is problem solving abilities and continues to develop new ones. He should do great on his exam"
"The student and I continued proving trigonometric identities today, building on last week's lesson. The student began recognizing the identity patterns very quickly, and the rest of the work became much better and easier for her to work."
"We covered some new trig properties like double angle and power reduction properties. We reviewed his last test and reworked the problems."
"We started today by covering what will be the start of the material for this exam, chapter 5. We first reviewed basic trigonometric identities, such as the negative angle, quotient, reciprocal, and Pythagorean identities. This part wasn't too much of an issue especially when reinforcing formulas with a visual representation of how they worked. Next, we worked through problems that involved the use of algebra and trigonometry to manipulate trigonometric expressions. This section posed some more issues, as some old polynomial identities and the novelty of the process was a bit troubling. We will continue to prepare for the exam next week."
"The student is working on graphing the cosine and sine trigonometric functions and transformations of the two. Her homework included the identification of transformations: vertical shifts, vertical stretches or changes in the amplitude, and phase shifts. She also work on problems where she identified the period of either sine or cosine function from a graph or from the equation of the function. She used the unit circle to first create a table of values and then to graph sine and cosine and their various transformations. After completing the assignment, she felt more comfortable with the material."
"The student and I got right to work on her homework assignment, which was on polar coordinates and converting from polar to rectangular and vice versa. She is a very sharp student, and after being showed how to do a problem, was able to complete the remaining problems on her own. When converting a rectangular equation to a polar equation, we did have some questions about what the preferred form of the equation should be for the final answer."
"Student and I worked on parametric equations in preparation for her upcoming assessment. She was very skilled with her application problems; she knew how to use all of her functions. We talked most about the use of the graphing calculator and how to find the best viewing window for the graph. She seemed very confident in her abilities at the conclusion of our session."
"Verified several trigonometric identities via algebraic manipulation. Student told me that my step-by-step guide of searching for Pythagorean identities, rewriting trig functions in terms of sin and cos, and factoring was helpful. Also reviewed angle addition and subtraction formulas for sin, cos, and tan. She is comfortable with the unit circle and all key angles."
"Today we covered graphing and writing the equations of translated sine and cosine functions. The student is really beginning to pick up on the major similarities and differences between these translations, including the difference between the sine and cosine graph (i.e. a horizontal shift)."
"We reviewed trigonometry problems requiring the use of identities, and beginning with the practice of substitution of the argument within a trigonometric function. The student caught on quickly to the method of substitution. With some prompting on utilizing known trigonometric identities, he became very effective in solving more complex problems which could ultimately be reduced to very simple answers."
"The student has an exam coming up in June, so I helped her study for it. We worked on a practice test, mostly reviewing concepts we had covered before. These included basic trigonometry equations, binomial expansion, etc. I gave the student some additional practice problems as well."