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Private In-Home and Online Pre-Calculus Tutoring in Newton, MA

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Session Summaries by Pre-Calculus Tutors

Newton, MA Pre-Calculus tutoring
We went over sequences and series. We first went over how to describe a sequence geometrically or arithmetically, as well as sequentially or explicitly. We also went over whether a species converges or diverges. Next, we covered series, including finite and infinite series and what types of infinite series can converge. We also went over practical applications of sigma notation and defining a sequence explicitly. We also did some extra practice problems from the chapter and went briefly into the next section. Overall, the student understands the material very well.
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Newton, MA Pre-Calculus tutoring
The student and I met to do some prep for his pre-calculus final. He has an online review assignment, so we worked through that. We were unable to finish it today, but the parts we did complete involved trig functions. He has a pretty good idea of how the unit circle works, but sometimes forgets exact values.
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Newton, MA Pre-Calculus tutoring
Tonight, the student and I practiced graphing exponential functions and applying them to growth, decay, and interest models. She picked up on the ins and outs of exponential functions rather quickly, not even struggling with graphing.
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Newton, MA Pre-Calculus tutoring
We discussed concepts involving angles in degrees and radians, coterminal angles, reference angles, and trigonometric ratios. We applied these concepts to homework problems as well as beginning to complete a circle indicating trig ratios.
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Newton, MA Pre-Calculus tutoring
We started by reviewing some of the questions the student missed on her midterm. The problem that really seemed to give her trouble was with a step-wise function. We worked through the problem and she sees where she really had issues; she was able to work through the problem just fine. After looking at the midterm we turned to her homework regarding vectors. We worked through a few problems specifically addressing finding the resultant vector of 2-3 other vectors. She was a bit shaky on the topic initially, but quickly got up to speed and worked through the problems very well. We are going to continue reviewing analytical trig, which the vectors were a part of, in another session tomorrow to prepare for her test on Friday.
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Newton, MA Pre-Calculus tutoring
We conducted problems converting from radian to degree form with a unit circle as a reference. Worked through coordinates of (x,y) for trigonometric functions that correspond to exact values, using the reference angle on the terminal side, and coterminal angles to find all six trig functions. Conducted problems that reviewed how to determine what quadrant the coordinated resides. In addition, I reviewed how to calculate the angle of the trig function using the inverse of the function and using a coordinate plane to devise exact values.
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