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# Award-Winning Private Pre-Calculus Tutoring in Hartford, CT

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### Private In-Home and Online Pre-Calculus Tutoring in Hartford, CT

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## Session Summaries by Pre-Calculus Tutors

Today we worked on practice problems from Chapter 6.1: Vectors, performing vector addition, subtraction, scalar multiplication, finding the magnitude of vectors, and converting vectors to unit vectors.
In our tutoring session, we covered the concepts of vectors and basic operations involving vectors, including dot product, cross product, and finding resultant vectors. T The student had a moderate understanding of the material with a few questions on the procedure for finding resultant vectors. I demonstrated a strategy that will always allow you to find the resultant vector by breaking up the initial vectors into x and y components, summing the components of all the vectors involved, and then generating a new resultant vector from the new x and y vectors. After the student's test tomorrow, we will be able to evaluate the effectiveness of what I taught him.
The student and I worked on trig problems, matrices, and systems of equations. We reviewed trig identities and substitutions including sum of angle and double angle formulas. We learned about the inverse matrix and tried to compute some 3x3 matrices. Lastly, we solved systems of 2 equations with quadratics and cubics.
Helped the student with a couple of homework assignments that focused on trigonometry. Specifically, he needed help using trig identities to simplify trig functions and prove that each trig function is equal to another trig function.
We covered Exercises from Sections 5.1 - 5.4 in his Precalculus textbook. These are the ones that will be relevant in his exam. We worked some on basic math and how to apply various trigonometric equations to simplify trig expressions, solve trig equations. The student's attitude toward the materials is inquisitive. The strategies introduced in this session included mainly focused on strategies to maximize performance on the test. The progress from the yesterday's session was significant. I can say that overall, the student is significantly better prepared for the test than he was two days back.
The student had a short worksheet on simplifying algebraic expressions that we completed. We then spent the remainder of the session working on trig identities. This is something that, much like geometry proofs, isn't really a concept or skill as much as an art that is perfected through practice. I reiterated some general guidelines, and through practice the student saw their value. He felt much more comfortable by the end. The student did fairly well on his last test. He was excited about one problem he finally solved through perseverance.