Recent Tutoring Session Reviews
"The student had an upcoming test, so we reviewed limits and difference quotients. A few questions with complex fractions initially gave her a bit of a challenge, but by the end of the session she had developed a method for handling those as well."
"Today we worked on both pre-calculus and physics. We worked on a few assignments in Pre-cal that will be due after spring break. We went over exponential and logarithmic equations and their graphs. Overall, the student did well with these topics. We also used compound and continuous interest equations to make calculations. We went over some topics in electrostatics for her physics class. I explained how the electric field behaves a lot like a gravitational field, and we compared the two equations for these and talked about how they're similar. She was doing well with the overall calculations, and just has some trouble sometimes keeping track of all the vectors with their directions. We also reviewed a project she had involving torque. We calculated the forces on one branch of a mobile that she and a partner have to make. The purpose of this is to balance the torque between all the branches so that the mobile will stay balanced."
"The student and I reviewed her worksheet for her test on trigonometric identities tomorrow. I made sure that she is comfortable and familiar with drawing and labeling the unit circle on her own. I also made sure that she was familiar how to recognize and approach some of the more difficult problems, particularly complex problems involving inverse functions."
"The student needed to study for her trigonometry quiz and finish her homework. We worked on using the trigonometric identities and properties to simplify, verify, and solve trigonometric equations. We went over some ways to start the problem (rewrite the equation in terms of sine and cosine, identify which property is being used, make a common denominator when there is addition or subtraction of terms, etc.). We also went over the unit circle and applied it to solving trigonometric equations. The student noticed that once you get the pattern down, the problems are a lot easier than they seem."
"I answered some questions about rational equations. Then we looked at solving quadratic equations by factoring, square root property, completing the square, and by the quadratic formula. Lastly, we looked at radical equations and the discriminant. I gave the student three hard problems in addition to problems from section P.7 from his book. His attitude is excellent."
"The student has been doing well. He is now nearing the end of the chapter on matrices and needed a bit of help preparing for the chapter test. The problems were mainly around sets of equations with infinite solutions (e.g. three equations in four variables) and partial fraction decomposition (taking the results of adding two rational expressions and reverse engineering that single fraction, typically with a quadratic in the denominator, to reconstruct the original two rational expressions that were added to get it). We worked through several examples of both of these, and I made up problems for him to do until he could get through them without any coaching from me. I think he will do great on the test."