Recent Tutoring Session Reviews
"The student is working on Pythagorean theorem and radicals. We spent a lot of time today going over special right triangles, because that's the area she seems to need help in the most. I gave her some practice problems and some ways to try and remember it, and I think it helped a little, but she is going to have to put in some work on her own."
"We covered general, vertex, and factored forms of quadratic and cubic functions and general polynomials, complex numbers, graphing, word problems, how to find the vertex, factoring, and completing the square. We also briefly covered combinatorics, in particular the nCr formula and the distinction between combinations and permutations. The student struggled initially with completing the square, but after I showed him how he understood. He had the rest of the chapter 7 review to finish."
"After getting the student's feedback about her latest exam, it was clear her greatest challenge is no longer comprehension (which manifested due to her preference toward sequential learning versus her teacher's preference for a global approach) but test taking techniques. The purpose of the online exercises plus the incorporation of more timed exercises during our sessions is to train her brain to get 'in the zone.' She committed to doing the exercises 3x/week and I'll check up on her progress once a week. We then proceeded to start Section 9.1: Inverse Variation. She picked up on the concept very quickly and we worked through some real world examples using physics and chemistry equations."
"In this session, the student and I reviewed another class of functions called exponential functions. We learned the general form of the function and saw that unique exponential functions are also determined by two parameters, a constant and the rate. We analyzed the graph of a typical exponential form and noted the unique characteristics of exponentials. We saw that any exponential growth/decay equation could be written in terms of the natural number e. We also focused on a special exponential function called the logistic functions. We saw that it was a growth function that had a cap on growth. To finish the session, we worked on five problems that gave us the explicit exponential equation and answered questions regarding the equation (usually finding the population/amount given a time by plugging in for the x or finding the time (x) given a population or amount graphically)."
"I retaught much of what the student is covering in Pre-Calculus, focusing on the relationship of the unit circle to the sine function. She worked several examples in her homework until I was confident that she could do the remaining problems with ease. I then transitioned to AP Government and gave an informal introduction to American Political Beliefs as well as a demonstration of the concept of political socialization. The student picked up these concepts right away, as they are not especially difficult. In the next session, I will attempt to review more of the complexities and nitty-gritty details of the Articles of Confederation and basic facts about the design of our government-- you really cannot know those concepts too thoroughly!"
"We covered inverse and logarithms. The student was interested in the materials but is not taking enough notes in class. I asked him to take more notes and assigned problems for practice."