Recent Tutoring Session Reviews
"We began working on determining the relationship between a function and its inverse. Once we discussed how the inverse of a function essentially involves reversing the x and y coordinates of every point on a function, he didn't have any trouble determining the inverse of a function from a set of points. He was also able quickly to understand the relationship between the domain and range of a function and its inverse, namely that the domain of a function is the range of its inverse, and the range of a function is the domain of its inverse. He at first didn't quite understand how to solve for the inverse of a function given its algebraic definition, but after we worked through a couple of examples, it became much clearer. He has a good grasp of solving linear equations and graphing them on coordinate planes by using the slope-intercept form."
"Student had a great session today. We worked on using prime numbers to simplify fractions. He changed numbers into different prime number sentences (such as 15 = 3 x 5). We worked on simplifying fractions with denominators and numerators that were between 1-50 and used sticky notes to practice moving different numbers around in order to find the simplest form of a fraction. After the session, I showed his mom how to use the method so that she can continue to practice with him throughout the school week. Next time we will continue to practice simplifying fractions and use a new method to add and subtract fractions."
"Student went over sections 2.6 and 2.7 today on composite functions, inverse functions, and finding the domain of these functions. Student mentioned that he gets very nervous doing math problems, and I told him he is one of the brightest math students I have."
"The student and I reviewed more conic sections. We started with ellipses. He was able to explain the properties of ellipses and the generic formula. He had some difficulty determining the equation for an ellipse when given partial information. Once we went through the process, he was able to determine the correct formula. We then moved on to hyperbolas; he was also able to explain the properties of hyperbolas and the generic equation. We went through some of his homework questions and he was able to graph the functions and find the foci. In general, he shows that he better understands the material."
"We covered integration by u substitution. The student has a retest coming up. We worked through several exercise problems from her text book. She has a good grasp on the standard procedure and did well on some of the problems but needs more practice on the more difficult problems which require transformation of the integrand before solving. Also, memorization of the trig derivatives/antiderivatives will help her with her retest on Wednesday. We have scheduled another session today at 5:00 pm where we will complete the set of problems covering this topic."
"Yesterday we continued talking about trinomials, learning how to factor them. The student has improved by leaps and bounds in his understanding of the problems and his attitude in working on the homework. He is now routinely scoring 80 - 100% on his tests. It has been a pleasure working with him and I look forward to seeing him complete the unit."