Recent Tutoring Session Reviews
"During our session, the student and I reviewed some concepts of trigonometry for an upcoming test. He had a review packet with him, and we worked through problems covering different concepts one by one to reinforce the material. We started by going over conversions between decimal form and degrees, minutes, and seconds before moving on to sketching trigonometric functions. We identified the important features of a trig expression such as the sign, amplitude, and phase shift, and went over how to sketch a trig function using each of these pieces of information. Lastly, we reviewed problems concerning the simplification of an expression using trig identities and solving trig equations along a defined interval. He understood all of these concepts very well, especially solving trig equations along a defined interval, and he seems very prepared for his upcoming test."
"Started the first semester of pre-calculus for her online school. Finished two graded units dealing with domains and ranges of functions, even and odd functions, transformations and more modifications of functions."
"We covered how to graph complex polynomials. We spoke about end behavior, multiplicity and asymptotes (vertical, horizontal and slant). After covering this material, we went over the student's homework. She had some trouble with the concepts at first. Once we started doing practice problems, however, she quickly caught on."
"We covered finding inverses of functions, determining whether a relation is a function, determining domain and range of a function, properties of even and odd functions, determining equations/plotting quadratics, rates of change, and evaluating "limits" by looking at the graph of a function."
"We covered rational functions and how to find slant asymptotes if we have a specific rational function. The student didn't struggle with this at all. We also covered dividing polynomials by other polynomials, as well as synthetic division. Synthetic division is a more methodological technique but will most likely be tested. We also covered some exponents and logarithms, their properties, and how to simplify them. Finally, I introduced Euler's formula for complex exponents and saw how we can use basic properties of exponents to manipulate oscillatory behavior. Overall, she grasped everything that I taught her and understands how to do these problems."
"We continued reviewing Unit 3, on the Nature of Graphs. The student attempted solving more problems from last time, and we reviewed her answers and clarified her questions. We went over inverses and what happens to the coordinates, finding slant asymptotes, direct/inverse relationship application word problems, and finding zeros/asymptotes. We also used the quadratic formula to solve for zeros. We started learning about completing the square and finding the discriminant (b^2-4ac). She stayed focused throughout the session and asked good questions!"