Recent Tutoring Session Reviews
"We worked on problems dealing with finding axis of symmetry and vertex of a quadratic equation and graphing the equation. She will have an exam next Thursday. It will probably cover polynomials. Her mother will ask the teacher."
"We covered Chapter 7-2 Set (Union, Intersection, Complement, and Subsets). The student did well with this new material. Need to continue to commit the different symbols to memory and the shading of Venn Diagrams and what they mean. Also, continued to review Gauss-Jordan elimination method for solving systems of 3 equations with 3 variables."
"His teacher had given them a packet to complete that consisted of work that we covered over the past few weeks. The next time we meet I plan on doing more of these problems in the worksheet with him, but making sure that he understands the steps to complete these questions. He always has a positive attitude though which is great and really wants to get better at it. The more practice with these problems he gets, the better off he will be."
"I covered with the student an Algebra 2 review packet. The concepts covered were calculating probabilities, margin of error, and confidence intervals. I also covered solving trigonometric equations."
"Since the student's class hadn't moved that much farther ahead in the textbook since last week, we spent this session going over the most current material and the material that she will likely cover in the next couple days. I think it was good that she was able to look ahead this week because the concepts they are learning are particularly difficult to grasp (a lot of logic). Sometimes the textbook doesn't explain these concepts in enough detail or clearly enough (this was certainly the case this week with recursion), so I urge the student to do some extra research in the future if she doesn't understand something. By the end of the session though, after several practice problems that slowly built on each other, it seemed as though the student had a decent grasp on the main ideas of the material. Though her teacher seems to move very slowly, it will be good for her re-learn and practice this material for the next few days."
"The student and I went through her homework. We actually had a large problem of 3 sets of polynomials in fraction form being multiplied by each other that we worked the entire 2 hours on. During this period, I retaught a few things to her, such as multiplying fractions and dividing fractions (the idea that dividing is the same as multiplying by the reciprocal), and we talked about how to apply it to the polynomials (and then later tried it out). I also spent time reteaching how to use number lines, fingers and calculators - anything at our disposal, to add and subtract positive and negative numbers and how to combine them with like bases of different degrees of variables. We also talked about factoring, and I showed her the method of trial-and-error factoring, and we reviewed the proven methods of the difference of squares and addition of a trinomial, and how to determine if a particular polynomial fits the form of such factorization methods. As we worked through the problem, she began to see how certain factored values would cancel each other out (because (x+3) in the numerator divided by (x+3) in the denominator results in a factor of 1)."