Recent Tutoring Session Reviews
"The student and I had our final review session before his semester final in Algebra tomorrow. Given the breadth of materials covered on the exam, I asked him to focus in on chapter sections he felt uncomfortable with or that he hadn't been able to wrap his mind around yet. He asked that we spend most of our time with factoring complex quadratic equations, word problems involving rate, time, and distance, and with interest problems. After 2 hours I feel as though he had a conceptual grasp over most of the material. His tendencies to rush through problems and to over-complicate things when he gets confused still will come out occasionally, but as he's gotten better at the material, those habits have lessened. I hope he can walk into the test tomorrow feeling calm and ready to go, and at that point that will help as much as any more review work."
"Today we worked with elimination equations given two variables and two equations. The main strategy was to eliminate one of the variables and then solve the equation. This included finding the LCM and then applying that to remove either the x or y variable. After a number of examples the student was able to work through the equations and find the solution. He did well this evening."
"I covered problems from his homework, which dealt with solving systems of equations by elimination. He was having some trouble initially with how to eliminate some variables. His attitude was fine. I told him about the Least Common Multiple way of getting them to eliminate. The win from this session is that towards the end he was doing really well with elimination."
"The student and I went over topics from both Algebra and Biology. In Algebra we used her materials to review solving systems of equations. We did practice problems together, which included direct solving and setting up systems and solving them given word problems. In Biology, we went over Punnett squares and genotypic and phenotypic ratios. We used her materials to practice examples of these and I provided some visual aids to help her understand genotype and phenotype. We also went over what it means for a gamete to be heterozygous and homozygous. We concluded by reviewing our session and practicing a few more algebra problems as preparation for the upcoming quiz."
"We covered solving inequalities with variables. Some of the inequalities included fractions and the distributive property. He had a fabulous attitude toward the material reviewed. He was a joy to work with. I left him with a few strategies and things to remember when it comes to dealing with the distributive property and inequalities. He improved from a 7/10 to 10/10 on an assignment that he had to turn in (which I was very happy to see)."
"We covered finding midpoints, lengths, exploring many of the relationships between defined points and linear functions/ equations. We both made a couple of algebraic/ arithmetic trip-ups, but the student has a relatively strong base, and prompting him to take a second look at his steps gets rid of almost all of these mistakes. Conceptually, not all the mental puzzle pieces are fitting together, but many of the simpler items are easily done, and I believe that improving his intuition about what he is being asked to calculate will be very beneficial in this. I saw this begin to happen when I asked him to use graph paper to visualize what was occurring. I was also happy to see that when I introduced a strategy that was new to him to find the point at which two lines meet, he asked that I explain the reasoning behind what I was doing, instead of simply accepting what I said, indicating that he not only wants to obtain the correct answer, but also to understand the conceptual/ theoretical backbone."