Recent Tutoring Session Reviews
"Today was my first session with the student. It was a last minute session, since I just accepted her today, but I was able to help her with the questions she had. She needed help graphing sine and cosine functions that had transformations in them including phase shifts and vertical shifts. She was able to figure out what the period, amplitude, and shifts would be, but wasn't sure how to specifically draw the graph. I was able to help her out with that, and she should be able to draw the graphs from now on. We will be meeting as needed by her, and she will contact me when the next session is needed."
"Today we covered the average value of a function between two points on a function, which is obtained by taking the two points on the graph of the function and computing the slope of the line through those points. We also reviewed the use of the distributive property, rules of exponents, and fractional exponents."
"Today we covered the basics of quadratic functions. The student was struggling with some prerequisite skills from Algebra, but he remembered most of them. I would advice him to review as much from previous math courses as he can. He struggled a bit with terminology, so I would suggest he get more familiar with terms associated with functions. He has a good attitude towards learning and seems very motivated towards improving his math skills. He is on the right track and is always willing to ask questions if he is stuck. I left him with some studying advice and ways to practice what he has learned. I did not see any of his grades, though I would like to focus on improving his skills first. I think he took away a decent amount from our session and I believe he will improve, especially if he comes back to review more with me. "
"Today we covered the concept of the limit definition of derivatives and where it came from, the constant rule, power rule, and the constant multiple rule. We utilized them to evaluate derivatives of several functions and apply them to find the equations of tangent lines. Next week, we will cover some of the more troublesome problems on his previous exam."
"Today we covered the final portion of the student's study guide. Specifically, I used the questions to have him predict the trigonometric graphs and to confirm them with his calculator, using a different method than his teacher. He liked the new method more than his teacher's, and spent less time getting to a right answer. I believe with this new method his attitude changed for the better, as he felt that he was actually understanding the material even more than before. He didn't have any trouble with the material, and actually did better than before after I taught him a different way of graphing the function. I told him to go home and to finish his review by doing the same thing we've been doing and confirming his answer with a calculator."
"Today we covered trigonometry identities (half-angle, sum and difference, and double), and how to implement those identities into equations. The student struggled the most with remembering the identities, so he made a note to me that he needs to review and remember them. He is great at applying these concepts though! The student was very intrigued throughout the session. Following his usual enthusiasm and focus, he was very interactive with me during the session. I included a couple of strategies, such as for solving for a value of an angle make sure the trigonometric function adheres to proper quadrants. Some quadrants cannot be used in some cases. I left them with a problem we did together, and I recommended he complete it again using a different method we discussed. I consider this session a win. He seemed to understand more information by the end of the session, and he also seemed more comfortable with what he needs to do and focus on."