Recent Tutoring Session Reviews
"During this session, we finished discussing the topics in Chapter 3, and the student completed the Chapter 3 homework problems. The topics included the power rule for finding the derivative of polynomials and the basic differentiation rules, i.e., the derivative of a constant is 0. We also derived the derivatives of 1/x and the square root of x. Using these, we practiced finding the derivatives of similar functions."
"For this session, the student was presented with a completed unit circle that will be used throughout the remainder of her time using trigonometry. Additionally, she learned all six trigonometric identities and how to solve for them with information about an line through a point in a quadrant. I will provide her with online practice for memorizing the unit circle because there will be timed quizzes in the future over the unit circle."
"In this session, the student and I finished up reviewing for her final exam. She had gone through the work sheets since the last session, so we went through the exercises she had issues with. We went through problems based on using trigonometric identities, exponential growth, logarithmic properties, and factors of polynomials. As we went through the review sheets, she marked key theorems and examples for the note card she is allowed to have the during the exam. We also went through the most recent exam she had on polynomials. We made sure to correct the errors she made and discussed the ideas needed to complete the problem. She had made a few calculation errors, but needed the most help with using factors of polynomials to find additional zeros. To wrap up, we reread through the review sheets for the exam, to talk about any additional questions she had."
"The concepts that we covered today include trig identities, right triangles, probability, natural log equations, the law of sines, and simplifying expressions. There were no major struggles to report, and in my opinion, the student is ready for the exam tomorrow. My only recommendation for her is to rewrite expressions that require distribution of negatives. She expressed her readiness and I am confident that she will pass."
"The student and I covered function symmetry briefly, then moved on to translations, reflections, and stretches and compressions (horizontal and vertical). He picked it up relatively quickly. We covered several practice problems both written and as though experiments. We verified the results using the graphing calculator."
"The student and I discussed her first assignment for her class, namely problems on ellipses and parabolas. We discussed the formulae for the focus, vertex, and directrix for parabolas and the foci, major axes, and minor axes for ellipses. We also discussed techniques for completing the square and the relation of the Pythagorean theorem with the equations for ellipses as well as the intuitive meaning of eccentricity. We will continue with her classwork in our next session."