Recent Tutoring Session Reviews
"The student turned in her homework previously, so we took the opportunity for her to work on a packet that her teacher gave her. The packet involved changing improper fractions to mixed numbers and vice versa. It also involved changing fractions to decimals and ordering them. I showed her an alternative way to turn a proper fraction into a decimal, and she liked it. I gave her a few examples and she grasped the concept very quickly. I went through her classwork folder and noticed that she had a bad grade, from a long time ago. The worksheet was on perimeter and area of irregular shapes made out of rectangles and triangles. She did not know how to find the area of a triangle, which is a key concept that she would need to know, in order to be able to complete the worksheet. I showed her how to find the area of a triangle, as well as how to find the area of irregular shapes, made up of triangles and rectangles. She then re-did the worksheet, and she answered all of the questions correctly. We also reviewed some previous work that I had given her, involving area and circumference of circles. She was confusing area and circumference. This is a common mistake, so we made up a saying to remember the distinction between the two."
"The student had a chance to correct some of his work for a better grade. Going through what was returned by the teacher, we found a combination of common algebra mistakes, simple math errors, and things he had forgotten. On the side of common mistakes, he still sometimes cancels incorrectly in rational expressions and forgets to distribute negative signs. He had forgotten difference of squares and sum and difference of cubes. We spent time reviewing these concepts. One question had not, to the knowledge of either one of us, come up in homework or a review packet: an absolute value equation bearing an extraneous solution. The student saw where the extraneous solution came from (variables on both sides, inside as well as outside of the absolute value sign). We went over asymptotes again, and I pointed him to examples in his textbook that he can read for another perspective, and assigned a dozen asymptote problems."
"We worked on a test review covering composite and inverse functions. After the review, I created several problems for him to work. We also worked on simplifying fractions."
"We covered: product rules, chain rules, function within functions, and derivatives of trig functions."
"We went over the student's homework assignment and how to convert an equation from vertex form to standard form. She also completed her homework assignment."
"In my session with the student today, we went over some geometry concepts that will appear on his 1st quarter exam next Thursday. We covered setting two expressions equal to each other and solving for the variable, using point-slope form, working backwards to find a point on a line, and the relationships between angles in a line diagram. We discussed errors made on a quiz he had previously taken; scores from his most recent exam are not known as of yet. He had a good attitude towards my approaches and advice. I gave him several math tricks that make computation easier and faster."