Recent Tutoring Session Reviews
"The student felt he did well on his quiz lat week. He hasn't started on new material in class, and therefore, we worked from the book on possible future topics. We started with a review of sin and cos graph transformations. We then moved on to csc and sec graph transformations. He did well with the csc and sec graphs and seemed to have little trouble transferring his knowledge of cos and sin graphs to the new topic. Next, we covered tan and cot graphs with vertical & horizontal shifts as well as changes in period. After reviewing these graphs, he and I talked about how these functions (specifically sin and cos) are used to model 'real world' systems (springs, Ferris wheels, etc.). The finial topic we worked through was inverse trig functions, i.e.. Arcsin, Arccos, Arctan, etc. Overall the student seemed to understand the new material. He will continue to work through these topics over the course of next week during school."
"Our main focus today was working with parabolas, their graphs and equations. I began with a discussion of the properties of parabolas and what they all have in coming. We then went over both vertex and intercept forms and what they each tell us about the graph of a parabola. We did some problems with minimums and maximums, and worked out problems which required us to complete the square to get an equation in vertex form. We talked about factoring and worked through some problems which required that some quadratic equations be factored. We decided that for next time we would go over some of the student's old exams. We are going to work out some problems that he found challenging together."
"The student has a upcoming test on Wednesday, We worked on the derivation of trig functions. Once I explained that arcsin was just the inverse of sine, she was able to understand and evaluate inverse trig functions. Derivations of trig functions were easy for her but integrating inverse trig functions proved a little more difficult. She didn't know when to use natural log or inverse trig. We did multiple practice problems so she would better know how to solve these problems. With a little more independent practice, she should have no trouble with integration either."
"The student has a test coming up on Green's, Stokes', and Gauss' Theorems. We discussed the similarities and differences between each of these integration tools and when they might be applied. We practiced a number of problems from the two texts and created a knowledge sheet to help with review."
"For homework today, the student had to combine her recent assignments that had not been collected and attach them together, so we worked on problems she had not been able to finish on her own. Some were word problems, but all had to do with what she has been working on: m = slope = rise/run; point-slope form; slope-intercept form, graphing, etc."
"We covered scientific notation and exponent rules. The student completed her homework. She has no problem with scientific notation or standard notation. She just needs to memorize the exponent rules to become more familiar with problems like this."