Recent Tutoring Session Reviews
"Today we started looking over probability questions, which seem to be a large portion of the precalculus exam. We went over concepts such as random events, independence and dependence, mutual exclusivity, factorials, and combinations and permutations. She seemed to have a good intuitive grasp of probability and perhaps had learned bits and pieces previously. I assigned some probability questions from her book (cards, marbles, etc.) between lessons and will go over sequences and series tomorrow."
"We did problems involving exponential and logarithmic equations. We also reviewed exponential growth and decay with the Euler number. We then moved on to analytic geometry and conic sections, such circles, ellipses, parabolas and hyperbolas. We concluded by solving systems of algebraic equations."
"We ended our previous session by briefly discussing vectors and vector operations, which we further explored for this session. Additionally, I also introduced the concepts in the other sections of chapter 6, which included parametric equations and polar coordinates. The latter half of this session was focused on systems of equations and matrices. The student was comfortable enough with systems of equations so we did not spend too much time on it."
"She had a packet of problems from her class and we went over all of the problems on those pages. She seemed to understand everything and did not have any questions at the end. Another session will be determined soon."
"This was my first session with the student. She said that she wasn't very familiar with discontinuous functions so we reviewed all the example problems in her book in the section on discontinuous functions. We worked on discontinuous functions including point discontinuities jump discontinuities and infinite discontinuities. I clarified some concepts that she did not understand as well. After my explaining them a couple of different ways, she understood and could complete all her homework independently. She is a very serious student who wants to excel. She is also very kind and gentle but can be encouraged to let me know when she doesn't understand something. I know that working with her will be fun and rewarding."
"The student and I reviewed for his quiz tomorrow, covering operations on and compositions on functions and inverse functions. The student demonstrated great improvement with his understanding of domains and exponents, and was much better of algebra. We also reviewed his syllabus and discussed his study schedule to prepare for what will be an assessment week."
"Continued on ellipses. The student was still having small trouble when it came to converting polynomials into standard ellipse form. I gave him a checklist for successfully completing the square with special polynomials. We then practiced rigorously with many examples until he felt comfortable with said conversions. He has a test on Wednesday."
"* Functions: What is a function? The domain and the range. Functional notation. Independent variable & dependent variable. Simplify f(x) for given independent variable. * Introduction to graphs: The graph of a function. Coordinate pairs of a function. The height of the curve at x. * Basic graphs: The constant function. The absolute value function. The square root function. The cubic function. The reciprocal function Sketch graphs by hand. Student was attentive throughout the tutoring session."
"We started by reviewing algebra 2 concepts for her pretest. The student was able to most of the problems just fine. Almost all of the issues came from small mistakes with signs or basic arithmetic. I worked on getting her to always carefully check over her answers for any small mistakes. We then reviewed the parent functions and transformations that she was learning for her pre-cal class. In the last fifteen minutes we finished by working on some SAT math problems together."
"The student and I reviewed for his upcoming pre-calculus quiz. We practiced solving third and fourth order polynomial equations by factoring and using the rational root theorem. We discussed how to factor quadratic equations in which the coefficient of the squared term differs from unity. We then very briefly covered his chemistry notes for chapters 1 and 2, which concerned the basics of the periodic table and chemical concepts. He scored a 24/25 on his chemistry quiz last week."
"The student had some homework on the equations of circles that focused on finding intercepts, radii using various methods with both general and standard form of the equations. There was some graphing. We ended with a few practice SAT questions on probability."
"We went over his weekly problem, which was solving for tan(5?/6). We solved it graphically, numerically and verbally. Then we went over his homework which was simple application of the unit circle on trig functions."