Recent Tutoring Session Reviews
"The student had an upcoming test for her Pre-Algebra class. Her teacher gave them a set of practice problems to work on. We have been working on trig for awhile, so I think she was comfortable with it by the end."
"We began the lesson modeling functions, graphing, and finding the equations for parabolas (up/down and sideways). Once the student understood the equations and their spatial relations, he excelled at it. We found the directrix, focus, vertex, and LR of the parabolas. Afterwards, I taught him partial fraction decomposition. Once he understood the 4 rules, it was a breeze for him."
"We worked on solving systems of equations with three variables. We talked about vectors, calculating magnitudes and directions. I showed her how to find solutions both graphically and algebraically."
"The student and I continued working on finding rational roots of 3rd degree polynomials. We used a variety of strategies, including the rational roots test, factoring by grouping, polynomial long division, and using the general solution to the quadratic. He was understanding of synthetic division, and explained the process to me. We then examined the overlap between synthetic division and long division. He seems to be improving in his ability to find roots of polynomial functions. We ended the session with a brief discussion of complex roots, which he seemed to immediately pick up."
"The student and I prepared for her upcoming test on applied trigonometry. She's doing well with the material. Once it's all set up, she can solve the triangles with law of sines and law of cosines. I think she'll do fine on her exam."
"We went over some things he had questions about for his upcoming test. We did some work with trig identities. I was able to give him some resources to help study for his test."
"This was my first session with the student and it went very well. We worked on her homework assignment and a make-up homework assignment she had missed when she was absent. The first assignment was on adding and subtracting matrices. She was able to solve these problems correctly with very little of my help. Then we went on to the next homework assignment based on multiplying matrices. We went through the steps of checking to see if you could multiply the matrices. Finally we looked at the rule that is used to multiply matrices. She did a great job completing these problems after our review."
"The student and I took this week's session to review one of the key underlying concepts of trigonometry: the unit circle and trigonometric functions. We began by reviewing special right triangles, discussed the concept of the unit circle and angles in standard position, and proceeded to fill out the values for sine and cosine of main angles around the unit circle. Once we did this, we translated those values to the graph of sine and cosine functions. We also used an online app to discuss the behavior of the graphs. Next time, we will focus on how the graphs change."
"In today's session, we covered the student's homework assignments on logarithms and logarithm properties. She quickly picked up the general workings. We reviewed rearranging parts of an equation and dealing with negative signs. She understood and assimilated these nuances along the way. After deliberating on the topic, she felt more comfortable with graphing functions on her own."
"Worked on solving system of equations with 3 variables using Gauss elimination method. Reviewed her homework. Had a look ahead into: 1. How to multiply matrices (preparation for matrix manipulation) 2. How to multiply a row vector by a column vector 3. How to multiple an nxm matrix by an mx1 vector How to solve a n equation system with n unknowns using inverse of a matrix. The student was able to independently solve her homework problem by the time I left her. Very proud of this student."
"We covered graphing the sinusoidal functions by transformations, how to write a trigonometric equation from a given graph, and simplifying trigonometric expressions without the use of a calculator."
"He seems to be progressing well. Today we refined the ideas of Sinusoidal Graphs. With a little more practice, I think he will be able to get the hang of it. After that, we worked on some mnemonic devices to remember the unit circle better. From there, we moved onto circular graphs, which are similar to sinusoidal graphs but use radians instead of degrees. All in all, I think it was a productive day."