Recent Tutoring Session Reviews
"Today we went over perfect cube formula and how to apply it, as well as long division (same material from last week). Today's material was mostly a recap of last week's material, which included polynomials, finding the roots using the substitution method, and long division. The student didn't struggle with anything at all. Towards the end, I gave her some tips about solving complex, higher degree polynomials (by guessing one of the roots and using that to do long division). Good session, like always!"
"Today, we went over the basic concepts of vector math, including finding magnitude, direction, and unit vectors as well as dot products and doing operations with vectors. The student did well with adding together and subtracting vectors, but she expressed that she struggled with converting between coordinate pairs and i, j, k notation. After going over it in more detail, she seemed to understand the concept better."
"Tonight, we covered more polynomial fractions, partial fraction decomposition, the fundamental theorem of algebra, and piecewise functions. The student is preparing for a final next Wednesday, and we worked through a worksheet she had on these topics. We worked through the problems step by step, and I tried to show her not only how to solve the problems but the pitfalls I've fallen into as well as what the mysterious word "simplify" means."
"We completed reviews of chapters 3 (exponents), 4 (logs), 8 (the unit circle), and 9 (non-90-degree triangles) in advance review for the student's final in 3 weeks. With our remaining time, we advanced to chapter 17, covering the basics and rules of derivation, to familiarize him with all of the basic rules for his physics class, in which he will be applying basic calculus from time to time."
"We covered a past homework assignment regarding exponents and simplifying expressions with exponents. The student did a great job going through each problem, and should continue to get familiar with the exponent properties used to solve each problem."
"We covered area of circles, area with arc angles, and arc lengths. The student struggled mostly with setup. Once we went over a few examples, and how to setup up the different types of problems, he was fine. He felt good once we went over numerous examples. One strategy was just recognizing which equation to use: arc length or arc angle. I did leave him with extra practice to work from."