Recent Tutoring Session Reviews
"The student and I went over material her professor presented on the last day of class. The student was not sure what to prioritize. We focused on solving for angles, and used the coordinate plane to understand possible quadrants where the angles could be located. We also focused on double angle and half angle formulas. She will study these concepts and practice problems in preparation for the exam on Monday."
"In our last session, I went over the problems that I assigned to the student as a practice test. Overall, she did well, and only got 3 questions out of 16 wrong. 1 question was on logarithms, 1 question was on logarithmic condensing and 1 question on trigonometry. I explained to her the things she got wrong, and gave her 5 more questions for practice."
"We worked on linear equations of two variables, starting from the distance and midpoint formulas. The student has a good grasp of graphing in Cartesian coordinates. We studied slope-intercept and point-slope forms of linear equations and practiced moving between the two. Finally we looked at graphing inequalities in linear form. The student seems to understand the concept, but misses a few keys steps in the execution. We will review this next session along with the polynomial equation assessment."
"Today we focused on finding limits of functions with holes, completing the square, graphing piecewise functions, and finding right-hand and left-hand approximations of the area under a curve. We spot checked understanding on specific questions as well as those selected by the student; The student confirmed she felt prepared for final this evening. Graphing was almost entirely accurate with no assistance, so it's encouraging improvement. The final for Pre-Calculus is tonight and Calculus 1 begins Monday."
"Reviewed simplifying polynomials, including the distributive property, combining like terms. Went over factoring polynomials, finding greatest common factor. Did several exercises together. Student had some difficulties with factoring out terms from polynomials, and struggled at times with the rules for exponents."
"We covered proofs for the trigonometric identities (Ex: cos(x) = cos(-x)) and applied these identities to certain homework problems. The student is very motivated to keep trying until she solves a problem. I told her to try out extra practice problems from the book in order for her to increase her confidence in using the trig. identities."
"Tutoring sessions are to prepare for an exam this upcoming Monday, and we spent most of the session going through the first part of the practice exam that was provided by the professor. This mainly focused on logarithmic rules/equations and functions and their inverses. Also covered the meaning of a function's domain and range and how to find them. The student will work on practice problems from what we covered tonight and we are meeting again tomorrow to cover more material."
"The student and I worked on quadratic functions and their solutions. We went through how to complete the square and how to use the discriminant to find solutions. We then went over complex numbers and the definition for i. Lastly we covered the complex conjugate. The student has a quiz later today."
"The student and I went over some of her new material from chapter 12, which deals with factorials, combinations, arithmetic and geometric sequences and partial sums, and word problems. She understands the concepts."
"We looked over what needs to be covered in order to earn Pre-Calculus credit, and essentially a good deal of material needs to be covered so that she can earn a passing score (85%) on an exam that will be taken on August 10th. A Precalculus reference textbook has 10 chapters, and we began with the chapter on Conic sections, working through circles and starting parabolas. We went over both some of the theory in addition to working through problems. Based on how quickly future sessions go, the pace of the course is subject to change."
"Today we focused on composite functions. We picked up where we had left off in our previous session. I had the student work through several problems where he was given 2 or 3 functions and then had to find the composites. He worked through the problems very well. He is also getting better at showing his work, which is something we've been working on. I feel like he has a good grasp on composite functions and for our next session we will start looking at limits."
"We continued to work through the textbook and the supplemental workbook provided and did practice problems over each section covered. We plan on moving faster over the next few weeks as the student show a remarkable grasp of the algebra material."