Recent Tutoring Session Reviews
"Trigonometric expressions, graphing and shifts, law of sines, law of cosines, radian conversions, etc."
"The student and I reviewed for her test tomorrow, covering arithmetic and geometric sequences and sums, Pascal's triangle, combinations and permutations, and probability."
"We went over a review for her test that included the binomial theorem, arithmetic and geometric series, and sequences and the formulas for their sums."
"The student had a couple of questions that she had struggled to complete on her own. They were about converting between polar and rectangular systems. We were able to work through the problems together to reach the correct answer, and she was able to understand and follow along fine. I then gave her a few extra practice questions to try on her own, which she was able to complete. I suggested at the end of our session that she complete all of the odd book problems her teacher did not assign as extra practice (she can check these answers in the back of the book)."
"We went over graphing quadratics (and polynomials in general), and why completing the square and factoring are helpful things if you're trying to draw a function's graph. We then went into compound interest, and the spooky boundary between compounding a finite number of times per year and compounding continuously: where does the 'e' come from, and what does it mean? The student asks great questions about the stuff most teachers and students just take at face value, and it's great to draw out the underlying truths of these concepts for her. The answer is often just "it happens when we do this process, and we have to deal with it," but seeing exactly where that happens is better than no answer at all--it reveals one of the challenges of math (and any science), which is that we have to isolate the strange truths of the world and build our field of study to accommodate and use them."
"We covered what vertical and horizontal asymptotes are and how to find them. The student grasped these concepts quickly and demonstrated little difficulty in understanding the material. We briefly discussed slant asymptotes at the end of the session. He had no difficulty understanding that concept either."