Recent Tutoring Session Reviews
"The student has her weekly packet to work on as well as problems from her text. We worked on her weekly packet first and then worked on her text problems. She is working with roots and rationalizing them."
"The student and I worked continued to prepare for his final in this session by working on a problem set of word problems from the most recently covered section about solving radical equations. He had gotten started with this sheet in class, so we spent the remainder of our session finishing up. He was comfortable with the general concept of the worksheet since it was very much like solving for other algebraic equations we had done before. The only new element introduced was that we had to square the entire equation in order to eliminate the radical. With this in mind, we tackled the rest of the word problems. Because he was already familiar with the general idea, we would work independently and compare answers for most problems. On a few questions, however, the word problem was complicated enough that he needed help interpreting them. For these problems, I helped him translate the text into a real world situation, then described how we could model it in mathematical terms."
"Today, I covered a practice test with the student. He got all the questions correct and understands how to solve each questions. His speed has increased a lot in working the questions from our first tutoring session."
"The student and I covered factoring in more detail. I reviewed how to factor quadratic trinomials, and we practiced with problems I gave her. I then showed her the special cases of factoring differences of squares and squares of binomials. I taught her the importance of still finding the GCF and factoring it out first."
"We worked on the student's project over projectile trajectory (quadratic functions). I showed him the formula for finding the axis of symmetry for a quadratic function and how to find vertex and x-intercepts. We also looked at some previous homework on factoring quadratics."
"Today, we reviewed the different methods of factoring polynomials. After a small set of practice problems for each method of factoring, however, he recalled the steps he had to take and had no difficulty. Once he remembered what to do, he also had no difficulty applying it to word problems involving area and perimeter as well. To help him remember what he needed to do, I circled problems on a comprehensive worksheet that he had been given in class so he could have targeted practice over the concepts that he had difficulty remembering outside of our sessions."
"During today's session, we reviewed an exam the student had taken earlier today and then worked on her homework assignment. I first explained the concept and then used the homework problems as practice."
"Today, we covered multiplying and dividing polynomials. We also reviewed naming polynomials and combining like terms for an upcoming quiz the student will have. She did very well with the material, and I believe she has a strong understanding of these concepts. She had a positive attitude during the session. She was able to complete all of her work while I was there. Overall great session. Hopefully, she will have her quiz score updated soon so we can see her progress."
"Today, the student did not have any questions pertaining to the assignment from last week or from her class. As a result, we spent the entire session working with absolute value problems. We did a quick review of the existence of solutions, followed by some practice problems involving solving absolute value equations. I noticed immediately that she was able to solve many of the equations using mental math. To make sure that she could solve more complex problems, we began a second set of practice problems that required her to show her work. We walked through the steps to solve a couple of complicated problems, and from there, she was able to complete the rest with no difficulty. Her assignments for this week are skill builder #10 problems 5-8 and 9-23 odd, as well as #11 only the multiples of 3. As always, it was a pleasure working with her. Her attitude is positive, and she accepts challenges with no hesitation."
"The student and I used this session to work through some homework he had on solving for x using square roots, factoring, and the quadratic formula. He had some trouble getting started on the first few problems, because he couldn't put the directions into context based on what he had just learned in class, but once he realized that solving for x was the same thing as finding the "zeros", the problems began to click. His factoring ability continues to be very solid, as well as his ability to isolate variables. He struggled a little using the quadratic formula, mostly with simplifying the square root, but began to understand it more with more practice. He was able to complete almost all of his homework and was going to complete the rest on his own before his next class."
"The student's math class is still working on exponents, and now they have moved on to negative exponents. We reviewed the major ways to manipulate exponents and then I used that to explain why negative exponents act the way that they do. We then did a bunch of practice problems of ever increasing complexity - I'm now pretty sure that he is weeks ahead of the rest of his class."
"We reviewed radical expression and equations and quadratic functions. The student has a good understanding of these concepts. I guided her through the process of solving and showed her where she was making some small mistakes. She indicated that she felt more confident after the session."