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Session Summaries by Trigonometry Tutors

Ohio, OH Trigonometry tutoring
The student got his test back, and he received an 84/100. He had lost six points to careless errors; however, he was more upset with the 10 points he lost on a problem for misreading it. A similar homework assignment asked to find the volume; on the other hand, the test question was about finding the area. Thus he worked out a solution for the volume. He did very well on the remaining test problems. Today we worked on directional derivatives and gradients. The homework seemed easy to him as he's able to reference formulas needed to work the problems out. The concept though is a bit more difficult to comprehend, especially when trying to visualize it. Thus, we spent some time talking it over, and sketching it in 2D as well as in 3D.
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Ohio, OH Trigonometry tutoring
The student had a homework assignment to complete from the other day on probability. She also had a review sheet to finish for her test tomorrow. I did find one error on this sheet. There are 2 tree diagrams which I will work on tonight to send to her if I have a chance to complete them. I did suggest to her that she try to send the assignments ahead of time to me so that I can work on them before our session. This will save time.
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Ohio, OH Trigonometry tutoring
The student had a lot of homework to catch up on which is all due on Wednesday, so we went over the homework problems. We covered graphing a linear equation, graphing an absolute value equation, and graphing quadratic equations, (parabolas). We also did problems on determining if an equation is a function and finding its domain and range. We also rewrote equations into standard form.
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Ohio, OH Trigonometry tutoring
The student had a lot of math homework to do. It was on manipulating graphs and graph equations. We worked especially on stretching and shrinking graphs and reflecting them over an axis. The student seemed unsure about the material at first but caught on quickly. He was also very good at looking up concepts that neither of us knew in the book.
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Ohio, OH Trigonometry tutoring
The student had a math assignment that she wanted me to check over because she was confused on a few parts. After we finished math (plotting linear functions), we studied biology. She has a quiz on cell organelles. She did pretty well. I paused the study session to explain all the ones that she didn't know.
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Ohio, OH Trigonometry tutoring
The student had a single question regarding differentiability. Given a piecewise function, with coefficients a and b, find the values of a and b that make the function differentiable. The student correctly identified that the first step was to ensure that the left- and right-hand limits are equal to each other. She was not able to figure out the second step on her own. I told her that the second step would be to make sure the left and right-hand derivatives were also equal. She struggled just a bit on deriving the function, but after another example, she picked it up quickly. After we set up the second step, the third step was to solve the new system of equations for a and b. At that point, she assured me that she could finish it on her own and didn't need my help anymore. I am sure she will accurately solve the rest on her own and understand problems like it more easily in the future.
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