Recent Tutoring Session Reviews
"Today we reviewed the structure of logarithmic and exponential functions and their relationships to domain and range. We graphed a few example functions and determined what factors contribute to asymptotes and intercepts. In chemistry, we reviewed concepts in stoichiometry and completed practice problems involving balancing equations and determining stoichiometric outputs."
"The student and I reviewed all Series and Sequence material for Exam 3. This includes: sequences, infinite series, positive term series, ratio and root tests, alternating series and absolute convergence, power series, power series representations, MacLaurin and Taylor series, and applications of series. We especially focused on Taylor expansion and application."
"The student and I worked through a practice exam covering the first 4 weeks of the course. We spent most of the time working through analysis of a discrete data set with weighted averages, standard deviation, and risk analysis."
"The student's grade has improved to a 90%. We spent the session reviewing the practice exam which included order of operations, solving single variable equations, percent increase, mixtures and solutions, solving and graphing inequalities. We reviewed a couple problems to practice the mixture and solution word problems. He is well prepared for his upcoming exam!"
"We began with his homework for chapter 4. The chapter covered percentages, calculating taxes, and percentage increases/decreases. He seems to have to have no issue with fractional percentages. Taxes were slightly confusing, but this arose due to complications with definitions and a miss-labeled table. We clarified his issues and he seems to grasp the tax system fairly well. Percentage increases and decreases were very easy for him once the definitions were given for calculating these values. We were actually able to get ahead of his lecture because he understood the material so well."
"The student's class is reviewing Gauss's law, so that is what we talked about during this session. We mainly examined the textbook's explanation of flux and Gaussian surfaces. As usual, he quickly grasped the basics and asked many thoughtful, advanced questions. It was a very nice session!"
"During this session the student and I continued with the long packet we had begun the previous week. We looked at a handful of questions on the basics of integrals, but spent the majority of the session working on applications of integrals. The student continually showed improvement as we proceeded through the packet."
"Exponents - distribution, multiplying, dividing and adding of exponents; simplification of radicals and alternative forms of expressive the same exponents in radical and fractional forms; Negative roots and i."
"The student has an 8.1-8.4 quiz on Tuesday, so we did her chapter 8.4 homework together (which dealt with simplifying polynomials) and I went over graphing radical functions (8.3) and discontinuity points (8.4)."
"We worked on exponents during this session. The student seems to understand and apply the rules much better."
"Continued work on Riemann sums, constructing the sigma-notation and going between it and integral notation to describe an area. Worked a little on homework as well, using u-substitution and evaluate definite and indefinite integrals."
"Last Monday, we covered the lesson on graphing polynomials. Yesterday (Monday), the student had an associated Study Island quiz to do covering the same material. The quiz consisted of ten questions that required him to apply his knowledge of graphing polynomials, finding zeros of the function, identifying x/y intercepts, and applying synthetic division. He got 8 out of 10 correct on the quiz, and on the two he got wrong, we worked through them together to identify his mistake and select the correct answer."