Recent Tutoring Session Reviews
"Since our last session, the student had moved on in class to graphing various trigonometric functions and inverse functions. We began the session with me answering a variety of his questions on graphing functions. I did my best to explain, for example, how to visualize f(x)= sin(x) + x by considering the first part of the equation to be the parent function while sin would simply add oscillations to it. I also encouraged him to complete charts to help him understand the algebra behind it."
"The student has one more quiz to re-take before he is caught up in his math class, so I went over the quiz he took and we covered each step of the problems so that he knows how to do each problem. The main focus of the quiz was angles in quadrants, unit circle, using unit circle to solve problems with exact values, using trig values to solve arc length and linear velocity questions. His book is a valuable resource, as we found that several quiz questions came straight from it! He is going to print off some unit circle study guides and review those in order to do well on the quiz."
"The student has good pre-requisite math skills for pre-calculus. He's a fast-learning, adept student. We went over previous quizzes and his review for his test."
"The student and I worked on pre-calculus studying and review in preparation for a quiz and test that he has this week. He needs to memorize the half/double angle identities, but he understands the concepts and mathematics. I'm sure he'll do well."
"Today we went over parabolic functions in pre calc with trig functions. He did not have any problems at all. We then continued with energy and power problems in physics, which he didn't have any problems with either. I told him to review the homework over the weekend to stay current on the concept."
"Today, the student and I reviewed properties of logs, and practiced problems simplifying and solving logs. She feels much more capable doing logs now, and feels she just needs to practice more at home. She received a 98 on her test, which she is really proud of!"
"The student emailed me his essay at the start of session and then we began with the Pre-Calculus work. One of his homework problems had not been done to completion so we went over the steps together. Next we moved into the textbook and began with Ch. 2.1. We worked through the examples together. We also completed review problems from the previous chapters to assess how well he was retaining the previously covered material. For homework, he was assigned odd problems from the text. I also provided him two sheets of problems to continue practicing previously reviewed concepts."
"We continued our talk and practice problems covering functions. We discussed even versus odd functions. And went over at length determining domain and range. We also worked on graphing functions today. Overall, the student did well. We are still working on showing all of our work rather than performing all calculations in our heads. Next session we're going to review all of the function types and start setting the ground work for learning about limits."
"Reviewed trig properties as well as logarithmic properties. The student had a little trouble dealing with identity problems and simplifying logarithmic expressions, but improved greatly over time. He seems ready for his test tomorrow."
"After our previous session, the student worked through solving polynomial problems. We reviewed the method. We also covered solving quadratic equations by completing the square. I introduced the algorithm and he picked it up immediately and was able to apply and solve problems easily. The student is preparing to take a pre-calculus class in the fall semester. I'm working through the text book."
"We finally completed all the time-consuming 3x3 determinant problems and quickly finished the matrix inverse worksheets. That brought us to completing 15 pages in 5 sessions. The upcoming pages may take some time as well, if larger matrices are assigned. Otherwise, the student understands the material once its explained. He works independently and checks answers to see where he may have made a mistake as opposed to just copying work. Its nice to see him invested and taking an interest in solving the problems."
"We reviewed sections 3.2-5.2 in the student's textbook since his exam will cover those topics on Monday. Specific areas we spent time on were Descartes's Rule of Signs, the Rational Zero Theorem, and plotting graphs of exponential/logarithmic functions. He is still having trouble determining how to go about solving problems, and has problems with finding limits. I plan on giving him extensive review on right and left hand limits on Monday afternoon to help him prepare for his exam."