Recent Tutoring Session Reviews
"Today, the student and I discussed graph theory, slope, perpendicular and parallel lines, work problems and related rates. The lesson took place on May 19."
"The student has started working with derivatives so I helped her work through problems to improve her confidence working with the power rule and the chain rule."
"The student and I spent our session reviewing concepts for his precalculus final next week. We started by discussing binomial expansion and the binomial theorem. We also covered Pascal's triangle. At first, he was making some errors on these kinds of problems, but after some practice, he was solving them correctly on his own. Next, we talked about complex numbers and conjugates. We practiced using conjugates to rationalize a fraction with complex numbers. Next, we talked about how to solve polynomials by either factoring, dividing, using conjugates, completing the square, using the quadratic equation, or some combo of these methods. I explained the difference between a zero and a factor of a polynomial. This clarified what to do when given one in a problem. We then talked about the graphs of different polynomials and practiced putting a quadratic into standard form to make it easier to graph. We also talked about vertical and horizontal asymptotes and holes and how to find them for an equation. Lastly we covered limits and how to find if a limit exists and then how to find what the limit is if it does exist."
"The student needed to complete the first few pages of problems from a review packet, which tested the students' ability to solve for x, y, and z in a system of 3 equations. He had completed the first few problems correctly during class. Once I helped him solve the first couple of new problems, he quickly caught on to what was necessary to solve the problems and was able to complete the packet quickly and correctly."
"Today we reviewed the student's recent test. In examining the questions she'd missed, we saw that a few had come down to simply placing a negative where a positive should have been placed, or vice versa. We practiced using distance formula and equation of a circle formulas as well, noting that in the distance formula, it should always be two numbers added within the square root, and in the circle formula, radius and center are the most important things to find (though sometimes it is not necessary to find radius exactly, if radius-squared is already known). The radius is equal to the distance between the center and a point on the circle."
"The student's exam got postponed so we had another opportunity to answer any of her questions, and continue to work on practice problems. I had her practice word problems on applications of trigonometric functions, inverse trigonometric functions, and graphing trigonometric functions."