Recent Tutoring Session Reviews
"We continued our review of the properties of trigonometric functions. Today, the student replicated the answers for his problem set. This involved graphing various trigonometric functions, finding their inverse and multiplicative inverse, and then identifying the range and domain for these functions. The student has become very natural solving these problems. He has a clear understanding of the concepts and how to execute the steps with very little intervention. Overall, I am quite impressed with his progress."
"The student and I began covering partial fractions. After reviewing the basic procedure we discussed different strategies for problems with repeated factors as well as prime factors in the denominator. We worked on some homework problems from the book. After some initial practice to review the processes, she was able to well grasp how to complete partial fractions. It was also evident that she had practiced her factoring, and is much quicker now."
"First half of session was spent reviewing matrices with student A and bringing him up to speed on relevant homework. Remainder of session was spent preparing student B for his chemistry and geometry exams. This unit for chemistry (e.g., nomenclature, polyatomic ions, balancing equations) has been one of student B's strongest performances yet. It will be good starting off the semester on the right foot in this class."
"The student and I worked on transformations of trig functions. He really understood the material. We related it back to transformations of lines and parabolas. The biggest improvement I've noticed so far is his comprehension of the unit circle."
"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. The student's attitude was that of moderate understanding of the material with a few questions on the procedure for solving a few different types of questions regarding 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."
"The student and I worked on trig problems, matrices, and systems of equations. We review 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. I was able to help the student with most of the homework problems."
"We worked mainly on Trig functions and the use of a unit circle to compute Cos, Sin, Tan, CSC, etc. of angles. The student truly has her head on her shoulders. She's very bright and very attentive. I have no doubt that this student will obtain outstanding results in math."
"The student was given a take home test, so we reviewed the topics covered on it, including finding limits graphically and algebraically, identifying the types of discontinuities, and drawing a graph given some (x,y) coordinates and function limits. The student quickly grasped the method for taking the limit of a complex fraction."
"During this session, the student and I worked on identifying the graphs of the six trigonometric functions via an online quiz. The graph recognition activity included horizontal and vertical transformations. The student required little to no help on this topic. He was very confident from the start."
"We reviewed graphing Trig functions, which the student can do with ease now. We then look at his teacher's website and started going over future material on inverse trig functions. I gave him a work sheet to do on Tuesday."