Recent Tutoring Session Reviews
"This session will be our meeting before the summer break. We spent the entirety of our time on a review sheet for the student's final on Wednesday. We covered a lot of material, but spent most of our time on a few problem types that required a number of mathematical techniques. The first major topic we covered was law of sines and law of cosines, and knowing when to apply each based on the information that the problem is giving and what the problem is asking for. We used these techniques to find unknown side lengths and angles of arbitrary triangles (not necessarily right, isosceles, or equilateral) and the areas of such triangles. He proved himself to be fairly adept with these types of problems. We then spent a fair bit of time on logarithms, exponents, the concept of inverse functions, and using the properties of these functions to algebraically solve for variables. He also demonstrated a clear mastery in the cases where the bases the exponents on either side of the equation were the same (or recognizing that they could be manipulated to be the same). I was also happy to see that he was using a bracketing technique I told him about in a previous session to help him keep track of his work. He should do very well on his final exam."
"Today we reviewed rational equations, focusing on graphing, finding holes, and vertical and horizontal asymptotes."
"Today we reviewed trigonometric functions. We went over graphing with translations, working with inverses, and solving for exact values given certain angles. We will do further review next week as well."
"We went over some work the student had done on a recent exam so that he understood how to use columns and rows to make simple shapes. We also did some beginning prep work on fractions."
"We reviewed histograms and box/whisker plots. The student did well with the concept, we will continue to solidify the skills through practice. I left the student with additional practice worksheets."
"Today we went over the student's math homework, division with single digit divisors. We continued working on fractions, recognizing fractions as parts of a whole, numerators and denominators, representing fractions on a number line from 0 to 1, and recognizing equivalent fractions."