Recent Tutoring Session Reviews
"This session, we worked mainly on new material in class. It dealt with trigonometric functions on the unit circle. This involved finding sine, cosine, tangent, cosecant, secant, and cotangent angles. We also went over what it means for a trig function to be even (cosine, secant), and what it means for a trig function to be odd (sine, cosecant, tangent, cotangent). Student picked up on this material pretty quickly, and did a very good job completing the homework assignment. After we finished this, we also went over all old material from this chapter in order to prepare for the quiz. I was impressed by how well the student remembered all the past sections!"
"Yesterday, the student and I spent the session working through a worksheet on Polygons. We computed the internal angle of 5, 6, 8, 100,...etc. sided polygons inscribed in a circle. Using the angle and the law of cosines, we then computed the length of each side of the polygons, the perimeter, and area. We then compared the perimeter of the polygons, as the number of sides increases, to the area of the circle in which it is inscribed. After stepping him through the provided example, he seemed to quickly grasp the computations and logic."
"Today's lesson was all about working with matrices: addition, subtraction, scalar multiplication, matrix multiplication, inverses and determinants of 2x2 matrices, and solving equations with matrix multiplication. We worked on the homework problems, plus a few extra practices."
"The student and I continued practicing trigonometric equations today. He is getting the hang of finding the general and specific solutions of these equations, so as long as he can remember the algebraic aspects and the trig identities, he should be in good shape here."
"The student goes to a private school, so his curriculum is different than most pre-calc students. We went over polynomial functions with vertical and horizontal asymptotes. We found the zeroes of the function through various ways, including rational root theorem. We also created equations from their zeroes. He is a good student who just needs a little more specific explanation on certain problems."
"We started going over linear and angular velocities. We worked on word problems to find velocities by relating linear to angular and vice versa. The student understood how to substitute the variables from individual equations to solve for the respective velocity. We also reviewed converting between radians and degrees and finding arc length and area of sectors. We also began learning how to graph sine and cosine and finding amplitude and period graphically and algebraically. She had already learned it previously, so the lesson went smoothly."