Recent Tutoring Session Reviews
"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."
"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."
"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."
"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."
"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."
"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."
"We covered inverse functions and exponential functions. I felt that she has shown an improvement in her algebra. We focused mostly on function behaviors. Next week, we are going to focus on her assigned homework rather than the conceptual topics that she is covering."
"This was my first tutoring session with her. We reviewed areas that she didn't understand. The first was implicit and explicit division. She successfully worked all four problems and got the right answer. Then we went on to problems of linear and angular velocity. She was able to translate one to the other and worked a total of 5 or 6 problems in this area. Then we reviewed trig problems and problems on the unit circle. She responded well to my tutoring and liked that I led her to discover how to work problems and understand the answer."
"Today focused on new topics in precalculus; we were able to work through the homework assignment. The current unit revolves around circles. We solidified the student's understanding of the following concepts: -conversion between degrees and radians -coterminal angles (plus/minus 2pi or plus/minus 360 degrees) -quadrant placement (I, II, III, or IV) -reference angles (always acute and positive) We were also able to complete the first two pages of the AP chemistry homework sheet since time permitted."
"The student and I went over polynomials. He already had a good understanding on the subject, but needed some assistance when it came to factoring and converting into vertex form. I reviewed perfecting the square with him as well as synthetic division. He left feeling confident about his test coming up on Wednesday."
"The student and I covered several concepts for her upcoming pre-calculus class (law of sines, law of cosines, trigonometric values, and word problems). I feel that she is ready for her exam and has an excellent thought process for completing the problems that she will face."
"For this session, we prepared for an upcoming exam which focused on systems of equations and properties (i.e. even, odd, etc.). We went over problem spots in a handout that was provided by her instructor. I am confident she will do well on the exam."