Recent Tutoring Session Reviews
"We studied worksheets that involved solving fractions with multiple variables. We worked on simplifying, combining, and solving equations."
"The student and I spent our time going over tax prep material. The topics we reviewed were fairly easy as we have been working on it the past few months collectively."
"During this session we concentrated on completing a review worksheet given by the student's teacher. The topics covered estimating integrals (through left and right endpoints, the trapezoidal rule, and the midpoint rule) and derivatives of integrals. We had to step back to look at some of the core geometric concepts behind integrals in order to use these approximation techniques effectively. With regard to the derivative of integral problems, he was actually able to use brute force u and trigonometric substitution to solve many of them without having to resort to shortcuts - and I am glad to see he has become comfortable with these techniques. After working through some shortcuts, he was able to do the remaining problems even more quickly. After the worksheet was complete, we started a primer on the integration of partial fractions, which should consume the better part of our next lesson. I am happy to report that the student scored above a 90 on a sample AP exam at school, and that his free response problems were considered the best in his class. I am feeling more and more confident that he will be prepared not only for this exam, but for any future mathematics courses he sets his sights on."
"The student and I finished up with her Algebra. She did very well, and now has her grades high enough to go on her trip to Pittsburgh."
"We covered trigonometry subjects, such as the law of cosines and answered any questions that the client had. Also, we went over several math problems."
"The student worked on homework sheets involving polynomial long division, synthetic division, graphing polynomials to the 3rd and 4th powers, and finding zeros."
"For the algebra 1-2 material, we covered graphing of quadratic equations/parabolas using tables of values and the formula for a parabola's vertex. We also went over the equation for a parabola's axis of symmetry, the maximum/minimum values, and the process of graphically finding or estimating the zeros of these quadratic equations. The student seemed to know the vertex formula well, which will help with most questions about this topic, so I just reinforced the helpfulness of writing out a table of values, as well as how the vertex formula is connected to the axis of symmetry. He seemed pretty solid in this area overall. For the algebra 3-4 material, we went over 30-60 degree and 45-45 degree right triangles, the unit circle, applying the Pythagorean theorem, converting angles to degrees, and vice versa. We also went over the related sine, cosine, tangent, and associated trigonometric identities and their relationship to each other. Finally, we talked about calculating these trigonometric values and the angles of a right triangle given an arbitrary set of two points on the Cartesian plane. He seemed to have much of the material under his belt. By the end, I think he demonstrated pretty good understanding overall. I think he'll do pretty well on this Friday's exams if he takes his time."
"The student and I continued reviewing for her final exam. Today, we covered solving inequalities, graphing various functions, and rational equations."
"Topics Covered: - Test Preparation: Chapter 7 - Logarithms - Graphing logarithms without a calculator - Change of base formula - Evaluating logarithms without a calculator"
"The student and I mainly focused on practicing the use of the present subjunctive in Spanish writing. We also worked on strategies to eliminate spelling and grammar errors within her prose, as this is her main point deduction area. We also focused on Algebra III. We first reviewed exponential functions and the models for growth and decay. Since she was comfortable with the trigonometric graphing from the week before, she was able to pick up graphing exponents quickly. We then approached a more difficult topic for her to grasp, logarithms. We reviewed the properties and conversion factors and practiced some book problems. I encouraged her to text or email with additional questions as she studies for her test on Monday."
"A complete unit post test of polynomial functions was conducted, and the student worked out nearly every problem without difficulty. The next unit was started as well."
"Reviewed new sections: -Arithmetic sequences. -Sum of finite Arithmetic sequences. -Reviewed problems for both. Overall the student has a good understanding of this section."