Recent Tutoring Session Reviews
"The student has a test on Thursday. We reviewed problems involving the logistic function, integration of trig functions, and log division and synthetic division. We reviewed integration by parts and integration by substitution. I demonstrated to the student how the integration by parts formula was derived."
"The student has a test on transformations on Monday, so we spent the lesson reviewing his homework together and going over the concepts that will be on his exam. He was a bit shaky on the material, but by the end of the lesson, I think he understood the majority of what he'll be tested on."
"The student has a test this week. We reviewed the concepts that he has had difficulty with during this module. He was able to complete the problems. We reviewed test strategy, and he stated he was confident about the material on the test."
"The student has a test tomorrow covering quadratic equations. She has to be able to understand the three main forms of quadratic equations and how they relate. She learned how to find the X and Y intercepts, vertex, range domain, and axis of symmetry in each of these forms. We covered a few word problems in which she had to write equations based on desired transformations."
"The student has a test tomorrow on factoring of quadratic equations, and we practiced the systematic solution to each of three types of problems: factors of equations, solving for values of factors, and solving for zeros of functions. I reviewed the basic issues of calculating squares and square roots, finding and combining cross-multiplied coefficients, and finding multiplication factors. She was increasingly competent and confident in her ability to reason and solve the problems. It only took her a few attempts at each type of problem to render consistent results."
"The student has a test tomorrow over matrices. Adding, subtracting, and multiplying matrices has been covered in a previous test. This test will cover determinants and inverses, using inverse matrices to solve equations, using the determinant and the inverse to solve systems (he has an excellent tip on multiplying the inverse and the constant matrix first, then multiplying by the determinant, so there won't be as many fractions). We also reviewed the geometric translations of a matrix, involving the x and y shifts, the matrices for rotating about a point, and the reflection about the x-axis, y-axis, across y=x, and across y=-x. As usual, his attitude towards the material was very positive, and he gave me the strategy this time, as noted above."