Recent Tutoring Session Reviews
"We worked on solving linear systems graphically by looking at a graph then finding the point where both line meets. Then, we solved linear systems by substitution. She gradually improved working on each problem. I assigned 2 problems to work on as extra practice."
"We started a new chapter on graphing Quadratics. The student had a homework sheet that I checked first. I also showed him some calculator shortcuts to check his work. He liked using the calculator do compare to his work by hand. We also covered a section on finding zeros of quadratics with graphing techniques he had just learned in the previous section."
"Both girls started off with finding the roots of quadratic equations by factoring trinomials. They then learned about the Pythagorean theorem and used it to determine the length of the hypotenuse of right triangles given the length of the legs and the length of one leg given the hypotenuse and length of the other leg. Student 1 then worked on plotting points on the Cartesian plane, determining the slope of a line between two points, and graphing lines with a given slope through a given point. Student 2 completed the sections we had previously skipped so that we could cover graphing lines before the assessment (solving absolute value equations with one variable), then learned about the point-slope form of linear equations and converting it to standard form."
"In algebra we talked about how to use the discriminant of the quadratic equation to determine the number of solutions to a quadratic equation. The student didn't really have an issue with the concept, though he didn't seem to understand that you didn't need to use the entire quadratic formula, just part of it. He kept trying to fully solve the problem instead of just giving the number of solutions. I explained to him, and he understood by the end of the session. In science we started talking about solutions - what they are, the components, how things dissolve, etc. He didn't read the section beforehand, but he still did very well, and seemed to understand the concepts we were covering, so there weren't any issues today."
"The student felt pretty good about most of the things she is currently doing in her class at school, but she was a little shaky on a newer concept (arithmetic and geometric sequences) so we spent the entire session working through those. We discussed how to determine if a sequence is arithmetic or geometric, express the sequence in recursive and explicit formulas, and use the sequence's pattern to predict later numbers. I feel strongly that she has a much better grip on this concept now, which is so good to see!"
"Today's session focused on solving rational inequalities, essentially building on the previous material of solving rational equations. I had the student do the practice problems, having him list the steps orderly on his page as well as aloud. He felt more comfortable with the material and confident in his answers by the end of the session. This was excellent prep for his upcoming quiz."