Recent Tutoring Session Reviews
"The student was punctual with logging on. We began with order of operations problems. Next, we moved on to fractions. We reviewed adding, subtracting, multiplying, and dividing fractions. He needed a reminder to flip the second fraction before multiplying when dividing fractions. We had this review because he has midterms in school next week. Lastly, we went over basic inequalities and graphing them on a number line."
"Tonight, we completed most of the student's review in preparation for the student's final exam tomorrow. We reviewed formal definition of a limit, related rates, Newton's method, various approximation methods, and evaluations of limits."
"Today we went through the student's homework assignment. We got through all of the problems but one of them, but she should be able to work through it on her own due to doing a similar problem together. I've invited her to send me her answer once she gets it and I'll check it. 1. Exponential growth 2. Exponential decay 3. Graph of exponential functions 4. Exponential growth of bacteria 5. Exponential growth of technology 6. Solving for a final population size given number of years and the rate of growth or decay 7. Solving for the number of years for an initial population to reach a final population size given the rate of growth or decay 8. Checking our answer to the type of problem previously described 9. Determining the growth factor 10. Determining the decay factor The student is doing well and continues to make progress, consistently increasing her level of understanding and her ability to think critically through problems. ^_^"
"Today we covered operations with functions, using function notation such as f(g(x)) or g(f(x)), and solving equations containing 1 or more square roots. An example could be the square root of x +2 = 4x, solve for x. The student understood both of these topics and showed me that he truly understands the procedures on how to obtain the solutions. He had a positive attitude with this material and was determined to practice continuously. He showed a great level of understanding with this material."
"The student and I reviewed several integration techniques today. I showed her my personal method for solving problems for trig substitution, which is much more concise than tables of "rules" typically used to explain the process. She was able to pick up on my method quickly, even guessing as to how it would work before I could finish explaining it."
"Tonight we split time between reviewing for the student's upcoming exams and reviewing his daily homework. Our review focused primarily on science, covering astronomy, radiation, velocity, mass, acceleration, force, and friction. He answered a series of questions about these subjects and we discussed them. He should briefly review his notes, especially those on astronomic terminology and physics equations. We also reviewed cardinal and ordinal numbers in Latin. We spent roughly a third of our time solving systems of equations. He had the hang of the equations, but needs to remember to look after negative signs and to solve for *both* x and y when asked to."