Recent Tutoring Session Reviews
"We are making our final preparations for the test on exponentials and logarithms tomorrow. We have more chapter review material to work on. The brothers are getting much better on this material, but they are still making some mistakes. I encouraged them to think carefully about each step when manipulating equations. If you can't name which rule you're using when you adjust an equation, you might be making a mistake. We also emphasized taking a moment to look for the most efficient methods of finding solutions. Taking logarithms of each side works in many cases, but considerable time and effort can be saved by rewriting expressions in terms of like bases."
"During today's session, we worked through problems involving trigonometric identities. The student had the majority of the foundational equations down, and as we worked through the problems, I gave her tips on how to make the problems easier to solve. I also helped her to use a substitution method to transform a trig equation into an easier to read algebraic equation to solve and then substitute. Overall, she has a strong grasp on the material. We will need to work a bit more on the algebra, including how to rationalize a complex conjugate in the denominator of a fraction. We covered this and will continue to practice these problems before her upcoming exams."
"We covered vertical and horizontal asymptotes, equations of a line, and factoring and reducing polynomial equations. The student had difficulties keeping track of her negative sign and the rules associated with x-intercept and y-intercept. I suggested visualizing a bee landing on either the x or y axis to keep the rules straight. She has a firm grasp of concepts; she just needs practice visualizing and writing things down and drawing the "picture.""
"In this session, we covered a variety of pre-calculus topics to prepare the student for his exam tomorrow. We worked through problems involving the unit circle, trigonometric function ratios, reference angles, inverse functions, and graphing functions. He did very well on all these topics and just needs to memorize some of the formulas. The most difficult topic was the verification of trig identities, however we did not have much time to cover it. He said he would go over it in the review session tonight."
"Today, we completed the student's Chapter 2 review packet. The student was able to recall the topics after some searching in her notes, and did very well with the concepts! The only topic she still needs to review is factoring with imaginary roots."
"We reviewed chapters 1 and 2 material. The student needs a little bit more practice. He shows potential. He understands the material, but knowing how to start some of the problems can be difficult. He should review the problems he had difficulty starting. I recommended going through the material and practicing the problems that he was not sure how to do."