Recent Tutoring Session Reviews
"We went over how to find the angle of inclination in both radian and degrees using the slope, how to find the angle between two lines, and how to find the slope given an equation or two points. We then moved onto parabolas. We discussed the standard form equations for a parabola. We worked through, in detail, how find the vertex, focus, and directrix using the equation for a parabola."
"The student and I continued to work on vectors for most of our session. Specifically, we discussed in depth how to add and subtract vectors graphically. We practiced many problems like this and she made significant progress in that area. We additionally reviewed how to find the components of vectors and how to find the distance from a point to a line using a given formula."
"Today, we worked on 1.5 in his text, which covered function manipulations in greater depth and abstraction. He has had some small issues with this in the past, but he did well today. We will have to work a bit more on complex transformations, but he now has a good handle on rigid and non-rigid transformations of all the basic equation types. I assigned homework and will use that to ascertain how much more we need to do in 1.5 before working into 1.6."
"The student is having his semester test tomorrow, and it is on trigonometry, so we covered that. We went over the unit circle and how the six trigonometric functions could have different outputs for the same input. We also covered using specific functions for certain situations given the problem information."
"We practiced simplifying more trigonometric expressions using our various identities and angle formulas. We also looked at the phase shift formulas to convert between sines and cosines, secants and cosecants, and tangents and cotangents. We practiced simplifying complex fractions and finding a common denominator in order to add and subtract fractions. We then practiced using the sum and difference angle formulas for sine, cosine, and tangent. The student is doing better at recognizing when to factor trig expressions."
"The student and I went over her test review during our session. We started on the oldest topics because she wanted a refresher on them. We discussed inverse functions and some of the basic properties of how they behave. We found the inverse function for a couple of practice functions and tested our solutions to make sure we had the correct answer. We briefly worked on a couple of composite function problems as well. We then spent some time discussing function symmetry and how to determine whether a function was even, odd, or neither. We ended the session with a review of trigonometry, mostly focusing on broad concepts rather than specifics. We examined how to plot a sine or cosine function and what the different parts (amplitude, period, phase shift, etc.) were and how they appeared in the graphs."