Recent Tutoring Session Reviews
"We started off today by going over trigonometric identities and using them to simplify, prove equalities, and solve equations for a given variable. We went over quotient, reciprocal, cofunction, and Pythagorean identities. We covered some new ones today including multiple angles, double angle, half angle, power reducing, product to sum, and sum to product. Finally, we moved on to applications of trigonometry, including law of sines, law of cosines, and area of triangle with methods such as Heron's formula."
"For our last session, we went over a practice final exam which covered all that we went over (chapters 5 through 9) and even material that we either skipped or didn't go into depth. That said, she was able to solve most problems on her own without assistance."
"We covered most of the questions the student had on his homework which involved using the quadratic formula many times, but first through numerous simplifications of equations. He also had numerous word problems he wanted to go over. I left the student with practice with the remainder of his homework for us to work on tonight. No concerns."
"The student and I reviewed right angle trigonometry concepts. She had several homework problem sets so we addressed the problems that she had trouble with. We talked about drawing pictures of problems, study skills unique to trigonometry, and using the unit circle."
"Today we reviewed aspects of conics for circles, parabolas, ellipses, & hyperbolas. We conducted an in-depth review of parabola diagramming and graphing. We reviewed and pointed out steps of importance when relating the formulas and equations. The student practiced formulas with example problems and discussion."
"The student and I met for our first session today and we went over Module 3, part 4 which was mainly about functions, models for functions, and describing behaviors. It also included some maximization problems (fences, boxes, area, etc.) and composite functions (f(g(x)) in terms of real-world problems as well as using tables. His textbook is very conceptual in comparison to others that I have seen, but that may be helpful later on. He has a test in a few weeks that I can help him prepare for."
"The student and I went over a class worksheet that covered solving and simplifying square roots using proper order of operation. Overall it appeared that he felt comfortable with the material and topic and just struggled with one of the problems (order of operation) but worked his way through it."
"We went through polynomials expansion and factorization. She understood better the concept of expanding polynomials using formulas. We will go through function domain on the next session."
"The student and I reinforced the ideas that we had reviewed previously with extra practice problems. He seems well-prepared for success with the test, and was very well prepared for the session."
"He had some homework on solving for x. The first half was very simple for him and the last half was just about being careful when taking polynomial greatest common denominators. We ended with polynomial long division and synthetic division."
"She and I completed the following problem types: conic sections (parabolas, ellipses, hyperboles) and solving non-linear systems of equations. By the end of the session, she was highly confident with the material. We will reconvene on Wednesday to study for her upcoming exam. She's highly intelligent and simply needs to work through a few problems with someone."
"For a first session, I worked with the student to figure out where she was in math, mainly by covering some of the review material for pre-calculus. She wants to take the placement test for pre-calculus in the next two weeks, so we agreed it would be most productive to focus on review and the first set of concepts for college pre-calc. For this session, we focused largely on review of coordinates on graphs, calculating distance and midpoints, as well as an introduction to the diagrams used to represent x squared, 1/x, square root of x, etc. I left the session with a good idea of where she is in pre-calc, and what our objectives are in preparing for the placement test."