Recent Tutoring Session Reviews
"We went through a problem set for high school which had a mixture of problems, mostly covering quadratics, linear equations, graphs, and some reasoning questions."
"The student and I reviewed the steps involved in synthetic division of polynomial expressions. He stated that he did not feel confident in carrying out each step, so we went through examples. I watched him as he went, coaching him through steps he was unsure of, and correcting small mistakes such as watching for correct signs (+ or -). Working through an online homework assignment, he submitted his answers to questions we reviewed, getting them all correct, which seemed like a huge confidence booster to him. After this, we took some additional time to review other operations with polynomials, such as multiplication, and simplifying. There was one specific step he was getting hung up on before I arrived, and that was in dividing a number such as 20x by x. The answer should be 20, but he couldn't understand how this worked out, given his knowledge that division of variables is a subtraction of their exponents. I reviewed with him that "x" is the same as "x^1", and that while "1-1=0", any number to the "zeroth power" is "1" (x^0=1). Therefore, 20x divided by x is equal to 20(1), which is simply "20." He had an "aha" moment, and subsequently found more fluency in the rest of his work."
"As in our previous meeting, the student is working on learning point-slope form of linear equations. Today, the focus was on converting equations from point-slope form to standard and slope-intercept forms. She had no trouble converting to slope-intercept form since she is getting good at solving for variables. She found standard form to be a bit more difficult since there are a lot more rules involved. I explained the different things she needed to check for when putting a linear equation in standard form, including x and y being on the same side of the equation and the coefficient of x needing to be positive. We did some extra examples to make sure she was getting all of the steps down. We will continue to review this concept in future sessions."
"The student I finished her linear fit project from last unit. We then completed part two of the chapter 7 test. We then moved on to chapter 8. The sections we covered where factoring by grouping, and factoring trinomials. After that we began chapter 8 quiz. She is doing even better with chapter 8 than she did with chapter 7. I am very pleased with her progress, and I am working on building her confidence."
"This was an excellent session. The student worked on the problems for his summer assignment. We reviewed the questions that gave him some difficulty and for which he needed clarification. We reviewed word problems, finding the least common denominator when you are given multiple fractions, conversions, finding volume and area, setting up problems, and the strategy involved in reading the problems carefully, laying out the given information, showing your work and checking it."
"We covered topics on sets, operations, and their properties. We also went over subsets, unions, intersections, and the symbol meaning "is a member of." The student didn't struggle with anything, it was just a matter of familiarizing with new definitions and applying it to examples. I asked her to copy down the new terms and their definitions into her notebook to study. I left her the extra problem sets given in her book to do as homework. I'm pleased to see that she does study her notes from the previous session and has that information memorized."