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# Award-Winning Private Pre-Calculus Tutoring in Youngstown, OH

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### Private In-Home and Online Pre-Calculus Tutoring in Youngstown, OH

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## Session Summaries by Pre-Calculus Tutors

We started this session by reviewing the student's most recent exam. We went over the confusing problems and talked about what testing strategies she found most helpful. For this week's content, we focused on series and sequences. The student had seen a lot of this material in a previous class, so we focused on reviewing the concepts of arithmetic and geometric series and sequences and how to identify which equation to use in particular situations. Towards the end of the session, we talked about test anxiety and preparing for the upcoming exam.
In this session the student and I went over the chapter review of his trig section. This included finding reference angles to a given angle, finding each of the six trigonometric function for a given angle or triangle and also graphing sine and cosines. He was struggling the most with understanding which quadrant angles lied. He seemed to enjoy and grasp the concepts enough to figure out most of the problems. I left the student to finish studying for his test.
We reviewed section 2.1 for upcoming quiz on Friday over linear and quadratic equations, polynomials, vertex and standard form of quadratic equations, projectile motion and other word problems. We will review section 2.3 this Thursday.
We went over more trig applications. We reviewed the law of sines and went over its applications. We then went over a problem set to practice the concepts. She had an overall easy time going through the problems (had a hard time using the calculator) and was able to successfully answer them. We then went over physics/chemistry and the periodic table. We went over the different element groups present in the table. She has an upcoming test on it, but feels more comfortable with the material.
We prepared for his quiz on Tuesday which covered one section of his textbook. The section introduced exponential functions. We went over the most basic exponential function, f(x) = a^x, and discussed its general shape and behavior. We discussed how certain transformations could be discovered by analyzing the function's equation. We then explored a real world application of exponential function - interest. The student pretty much had no difficulties with this topic and our review for his quiz took only an hour. With the remaining time, I introduced the next topic that his class would be covering which was logarithms. I tried to get him to recognize that logarithms and exponents are inverses of each other and that they would be used to solve equations where the unknown existed in the exponent. We covered the simplest method to solve exponential functions, the one-to-one method. Another great session!
I met with the student for our first meeting and focused our session on assessing where her biggest improvements can be made. Conceptually, she grasps material easily, as she was quick to pick up on proving double-angle and half-angle identities. She did need some refreshing on using the unit circle, as well as details such as negative signs when doing long involved problems. Overall, she did very well and made improvements. We are going to meet again on Thursday.