Recent Tutoring Session Reviews
"He had most of his tests last week, so we mainly just reviewed over what he learned and worked on his homework. For pre-calculus he is learning about the Law of Sine while he is learning about intermolecular interactions in chemistry."
"The student and I did review session on vectors and operations on vectors. We determine the sum and difference of two and more vectors geometrically and graphically using the rule of triangle or rule of parallelogram . Also we were writing the vector in component form. Also we calculated the magnitude and direction for the vector given by the coordinates of its ends or its own coordinates. Father on we were justifying if vectors are orthogonal using the product."
"The student and I went over many different concepts of precalculus during our first session. He had several worksheets and assignments from class and we worked through the problems he was having the most difficulty with one by one. We started with graphing sinusoidal equations. I explained what each part of the equation meant and then walked him through graphing it given the information about its vertical shift, amplitude, and phase shift. We then covered the equation of a hyperbola and how it could be used to construct a graph before moving on to problems covering various other topics such as decay, finding the nth roots of a complex number, and De Moivre's theorem. He understood all of the material very well after it was explained to him and answered questions about intermediate steps very easily. I look forward to my next session with him!"
"Today was our first session and it went very well! We spent a majority of the time reviewing the power function and the exponential function, and determining the proper function given a set of data. We spent the last 30 minutes introducing trigonometry concepts that will start being covered this week at school. He and his mom are interested in him having another session later this week, depending on what his baseball schedule allows. I am looking forward to our next session!"
"We continued discussing transformations of trigonometric functions. The student has a test on Thursday, so we spent most of our time reviewing his first problem set. We went over the parent functions of sin, cosine, and tangent. We talked about their inverse and multiplicative inverse. We also discussed their range and domains. He has a strong command of the material and feels very confident going into the test. I anticipate that he will get a very high grade."
"The student and I spent the majority of the session focusing on how to convert from polar coordinates to Cartesian coordinates, and vice versa. Examples included converting a rectangular equation into a polar equation, finding the distance between two polar coordinates using law of cosines, and I also introduced the concept of parameterization as a method of figuring out the direction of a vector."
"I covered solving systems of equations by elimination, substitution, and by matrices. I also covered calculating determinants."
"During this session we covered derivatives. We practiced deriving fractions, radicals, trig functions, and polynomials, and applying the power, product, and quotient rules. We also reviewed how to find the slopes and equations of tangent and normal lines."
"The student's class began vector addition and took a quiz over it since we last met. We spent the majority of the session reviewing practice problems. The student was able to easily solve problems that were presented as equations or pictures. The word problems proved more difficult to set up."
"The student started a new chapter in class. We began the session by clearing up a few concepts regarding vector notation and parametric equations. We then went on to work on his problem set that involved converting rectangular coordinates to polar coordinates."
"She struggled most with the memorization and concept of unit circles, and how they apply to the formulas usually given as problems in class. I guided her through the most commonly used angles in a unit circle and their respective ratios, along with common trig functions seen in complex equations."
"Worked with student to review some past topics and work on HW problems. Reviewed a past quiz and why she had points marked off for certain problems. Focused on solving trig function question and finding the angle. Did several of these problems to master calculating the reference angle, finding the quadrant the function was located in and writing general solutions for all angles that satisfied the relation. Also covered linear velocity problems from angular velocity. Student greatly benefited from the repetition of solving many problems together and practicing these technique. I saw progress within the session."