Recent Tutoring Session Reviews
"The student is in a Pre-Calculus class which is currently studying the properties of logs, exponents, and their relationships. In this session, we reviewed how to obtain the x-intercepts of a graph, the y-intercepts, as well as finding the roots of a polynomial, including imaginary roots and that each imaginary root must have another corresponding root with the imaginary portion equal to negative one times the other root's imaginary portion. We reviewed how to do long division of polynomials so that if a root is obtained the polynomial can be simplified to find the other roots. We reviewed synthetic division, or how to obtain roots of a polynomial if not given any information about what the roots are. We also reviewed a quiz review packet that the student's teacher gave out. One problem involved using many of the properties of logs to solve the equation root(125)=(5)/(5x)^2 which ended up being moderately complex. We chose to find all of the properties of the logs and exponents and place them onto flash cards in order to memorize them more easily. We went on to a problem which modeled a rumor heard in school which over time approached 100 students. We first had to realize that the model of the equation was y(t)=(100)/(1+ce^-bt) and then plug in our two known values (2,50) and (4,80) to solve the system of equations. Again, the computation of this ended up being relatively complex compared to the standard problems in a Pre-Calculus class. It was a good first class."
"During this session we continued reviewing Test 1, which had been moved to the 12th. We worked on topics that the student has the most difficulty with: namely exponents and radicals, and factoring. We were able to spend the 1 1/2 hours focusing on those topics, making good improvement. Because he is auditing the class, the only criteria needed to pass the class is a passing grade on the final, which is next Monday. All our efforts for the next week will be towards that goal."
"The student and I worked on trig double angles and squared formulas and how to manipulate them for her test. She should be fine for her test, which also includes basic trig evaluation."
"We finished reviewing for the student's final. We covered finding areas of triangles by SSS and SSA and simplifying trig functions and the tricks involved in that. These include reducing all functions to sine and cosine, multiplying by the complex conjugate, and replacing 1 with a function over itself."
"We had to cover a lot of ground getting ready for the semester final. We reviewed logs, exponents, and interest problems, and then we moved on to trigonometry."
"We did review problems to prepare for the student's final exam. The problems covered solving equations in logarithm and exponential functions, linear programming, evaluating trigonometry functions and their inverse functions, finding coterminal angles, and hyperbolas."