Recent Tutoring Session Reviews
"In this session, the student and I worked on properties of ellipses and hyperbolas. We had previously started the section on conics, and we continued to review the various equations presented. He had some questions about the ellipses from last session, so he worked through some determining equation examples, when certain properties are given. He had the most questions about determining the asymptotes for hyperbolas. We looked at graphs to understand where they are in relation to the vertices to help understand where the equation comes from. Again, I tried to go back and forth relating the graph to the properties found from the formula. This has helped the student solve the exercise, when he recalls the physical characteristics of features like foci. We reviewed several examples of each type, because these are the more difficult of the four curves. We previewed the final two sections, which the student is going to read before our final session before the next exam."
"The student and I worked on behaviors of parabolas. We covered how to find vertices, x & y intercepts, and a few calculator tricks to make the process easier. We also covered X intercept form as well as transformation form. Also, I showed her another method for multiplying polynomials (the grid/box method) as well as the reverse process for factoring."
"The student and I worked on the new topics she is covering in class. We are moving to graphs of trigonometric functions and identifying changes such as amplitude, period, and horizontal and vertical shift. We will work on more practice examples in our next session so she is more comfortable working with these types problems."
"The student and I worked together on problems from Sections 1.1 - 1.3 of her trigonometry textbook. We covered the following topics: equations for lines, parabolas and circles in various forms, distance formula, midpoint formula, completing the square, and graphs and functions on the Cartesian coordinate plane. The main area that I focused on with her was how to convert equations into different forms so as to better understand properties of their corresponding graphs. She had a positive attitude and was focused the entire time. One of our most important strategies was understanding the relationship between geometric and algebraic approaches to a problem and how they complement each other. We made great progress today."
"The student continued to practice with trigonometry topics previously covered. These included converting from radians to degrees, finding the angle on the unit circle, and finding trigonometric values. With continued practice and repetition, he became more confident with the material. He has some practice problems for homework."
"The student is an able, willing learner who is ready to try things out for herself! Today, we talked about the unit circle, particularly how to create it from memory (and some tricks to memorizing it). We also worked with calculating trig functions from the unit circle, as well as trig functions not on the unit circle by creating right triangles to calculate those functions. We also discussed reference angles and how to calculate them using a complete circle as reference. No homework was assigned, but I encouraged the student to try out further practice problems from her textbook. She was fun and easy to work with and I look forward to the next session!"