Recent Tutoring Session Reviews
"The student and I went over prime factorization trees and composite numbers. She did very well and e completed all of her math homework except for just two problems."
"We covered practice problems from online repository that the student was having problems with before. She may need one more session to cover material her teacher will put on her final exam."
"The student just had to do some memorization of integrations. We went over a previous year's test to help her prepare for her 3-day AP Calc AB test that starts tomorrow. We went over derivatives and integrals, the relationships between functions and their derivatives/integrals, word problems, some slope fields, and calculations of definite and indefinite integrals."
"The student and I started with parabolas today. I advised her to find the vertex first, then to look for the focus and directrix. I suggested that she look for the variable raised to the first power, because this variable will be the one the focus, vertex, and axis of symmetry will be oriented on. She did a good job finding the important parts of the parabola given its equation. She was initially confused about deriving an equation given the vertex and a point, but we did a couple of these problems and she got used to plugging in the coordinates to complete the equation. After that we reviewed circles and ellipses. I thought it went a lot more smoothly than last session. The student remembered the most important parts of the equations with just a couple of reminders, and is comfortable finding the center, vertices, and foci of the ellipses. We will continue working on completing the square, as it is a multi-step process."
"Entering the session, the student was prepared with a lot of questions about Pre-Calculus, which was a good sign. I also heard that he got a really good score on a quiz, only getting a single point off. With that encouraging news, he and I covered a variety of topics including solving functions, finding the domain and range of a given function, logarithms and exponential equations (including half-life problems), and piece-wise functions. The concept he struggled the most with was plugging in for functions. We went over how to interpret them (plugging in whatever is in the parenthesis of the function for the variable) a few times. In addition, he seemed a lot more hasty with his math, which led to a good amount of simple errors. However, I am confident with a little more practice in doing some of the other problems that he will be able to confidently answer these questions correctly. He had a great attitude to the material and was very open about trying addition problems to make sure he understood the concept, which was very encouraging."
"This session we covered using sum and difference formulas for trig functions in order to solve trig functions by hand that we would normally need a calculator for. Strategies included turning a difficult angle into the sum or difference of two easy angles, using information about two separate angles to make a calculation about a single angle, etc. The student was adept with the problem-solving strategies themselves, and the only problem seemed like occasional small errors. He has an upcoming quiz that he should be well-prepared for as long as he is careful and attentive to detail, and after that quiz we will know what to focus on for his next upcoming test."