Recent Tutoring Session Reviews
"Reviewed through all aspects of vectors (unit vectors, force equilibrium, boat/airplane/wind problems, cross products, dot products, areas of parallelograms, 3D graphing, and more). Practiced through the concepts of each problem type and went over the intuition of parallelpiped volume and plane equations."
"Today the student and I worked on the Advanced Trig Identities test review, with concepts including sum to product, product to sum, double angle and half angle identities. We also reviewed power reducing identities."
"The student is working on trigonometry. One thing he had trouble with was figuring out how to resolve the ambiguity of a SSA triangle when the opposite side is longer than the altitude. We reviewed that and continued to work on his current material. He seems quite competent in the current material. I intend on creating a study sheet for trig identities and practice problems for us to work on next week."
"We discussed the properties of logarithmic and exponential functions in preparation for the student's test on that subject. Particular emphasis was given to recognizing the domain and range of functions from their equations and using log properties to solve or simplify equations. She is starting to gain more confidence when she answers questions and is able to present her thinking more clearly and directly than when we started working together, which has been one of my goals for tutoring with her and will serve her well in all of her work."
"We continued to work through the midterm review problems. We reviewed the law of sines and law of cosines, calculating the area of a triangle given two sides and the angle between them, writing equations of sinusoids from a graph, and unit conversion for rotation. Once we started talking about the trigonometry problems, the student was able to remember how to solve them using the formulas given on the equation sheet. She was also able to convert units for rotating objects once we talked through what revolutions per second meant and orbital period of a satellite. She also was able to remember how to write the equation of a sinusoidal function when we started to break it down into the different pieces like the amplitude and period."
"We worked more on conic sections today. As predicted, there were still some fundamental errors (conic sections are abstract and difficult, even by pre-calc standards). Many of these were corrected today. We also talked more about ellipses and parabolas (Monday's lesson focused mostly on hyperbolas). The new approach to parabolas is simple and more general than the one used in previous chapters. The students promise to keep working on their homework problems and bring me specific questions tomorrow. I am encouraging them to continue practicing while their minds are still fresh, and to be careful to focus on the big picture. Don't lose sight of whether you're graphing a hyperbola or an ellipse while you're bogged down in figuring out the foci!"