Recent Tutoring Session Reviews
"Today we covered rational functions and systems of equations, up to the 3x3 case. First we discussed the basics behind rational functions, which was that one polynomial divides another, and then talked about various discontinuities such as holes and asymptotes. Next, we talked over systems of equations, starting with the 2 equation 2 variable case, and then moving onto the 3 equation 3 variable case and the Gaussian elimination method of arriving at the row reduced echelon form. I left her with homework problems from the book that should be representative of today's material."
"We reviewed addition and subtraction of algebraic fraction, then multiplication and division of algebraic fractions. We worked on solving equations involving rational expressions. We also did many problems together. The student seemed to learn the concepts quite well, and got quicker as the session went on."
"Today we reviewed homework and re-discussed log properties and combining log terms or expanding them. We also went over some homework problems regarding proportions with inverse variation and joint variation. Then we moved on to the next area of trigonometry."
"We went over a couple different topics today. Finishing up the review of conic sections A's moving in to matrices. Matrix multiplication, addition, determinants, and inverses were a couple things gone over."
"The student and I continued our focus on logarithms. We went over homework I had assigned targeting logarithmic properties and solving for variables using exponents and logarithms as inverse operations. He got most of the problems correct without my help, and I walked him through any areas where he had questions. We then went over a couple more properties of logarithms, including the change of base formula, and tried some example problems. On top of logarithms, I assessed his knowledge of quadratics. We went over the different forms of quadratic equations (standard, vertex, and intercept forms), how to graph parabolas, and how to find the roots by factoring, completing the square, and using the quadratic formula. He performed very strongly, and does not need review in this subject."
"I helped the student to complete a summer packet she was given that reviewed various Algebra 2 concepts. These included simplifying complex algebraic fractions, polynomial long division, transformations, and writing equations in vertex form. She seemed strong in most of the subjects and only needed a small reminder on a few concepts."
"Today we went over functions and went through her homework that was due this week. She has a quiz tomorrow therefore we went through all of the material. The material included domain and ranges, function definition, plugging in values, and notation. She picked up on everything really well and I expect her to do well on her quiz tomorrow."
"The student and I discussed this week's homework on functions and symmetry. This required some refreshing of algebra rules, such as the behavior of exponents, and careful discussion of how to 'talk math.' We reinforced the concepts of functions, variables, and transformations of graphs along the way. I followed up with a tutorial on difference quotients, which appeared on the homework in an unrelated way to the rest of the material, and discussed study skills with him toward the end of the session. He is looking forward to doing some quiz preparation during our next session."
"The student and I began reviewing for his pre-calculus class that will start Monday. We focused on a couple of chapters from last year that will be sure to reappear again this year. First we reviewed graphing polynomial and rational functions by determining asymptotes, zeros, and turning points. We then started reviewing basic trigonometric concepts, especially the unit circle, will be a large part of the material this year and next year. Overall, he seems to remember the most important concepts and will easily pick up the rest once he reviews a little bit more. I suggested he try studying his unit circle a little bit every day until it becomes automatic."
"We covered geometric versus arithmetic sequencing as well as Conditional Probability. She took a quiz today, so next session, she should have the results on that quiz as well as the review sheet for her upcoming Unit test."
"We went through his assignments on conic sections and sequences and series. We worked on the standard forms of conic sections and how to tell what the graph will look like, then we worked on using sequence formulas, plugging in numbers, and sigma notation."
"Today the student and I covered trigonometric problems involving the Pythagorean Theorem, as well as components and magnitudes of vectors. She was doing very well today, she was able to finish her first assignment for her class. We only did about an hour and a half of work today, so I will add the additional 15 minutes to our next session or a future session."