Recent Tutoring Session Reviews
"With the student we learned factoring polynomials including with complex roots and higher degrees. We learned that third degree polynomials factor easily when we find a real root, while some four degree polynomials with complex roots can be challenging if one of the complex roots is not trivial to find. She keeps learning fast and is confident with her last quiz. The session went great and we planned to meet again on Monday."
"The student and I worked on pre-calc today. We reviewed her notes and started working on her homework. She seems to be doing well; Understanding and memorizing the unit circle, formulas, and values."
"The student and I reviewed some more tricky problems involving diagramming with triangles and applying the Law of Sines. She is getting better at diagramming and generally more confident with the subject. With the second student, I reviewed a few methods for graphing and analyzing quadratic functions in standard form with him. I also checked on some of his old quizzes to make sure that he understands now what he did not then. We reviewed the definitions of consistent and inconsistent systems of equations and how to analyze and graph absolute value functions. He takes to the material quickly and understood everything we discussed."
"Today we focused on practicing more on chapter 5.3 and solving trigonometric equations. We are working on practicing more to improve her performance. We also went over multiple angle identities very briefly to prepare her for the upcoming week."
"In preparation for the exam next Monday, we worked on material that was on Test 2. Specifically, we practiced complex equations, quadratic equations, the quadratic formula and linear equations. As he practiced the more complicated Algebra, the student became much more comfortable with it and made great progress. Tomorrow we will continue working on the Test 2 material, so that we will be able to cover Test 3 material before doing more general review over the weekend."
"The student and I worked on his math project about solving systems of equations. The project involved solving two words problems by setting up three systems of equations and then solving them with various methods, including elimination, row operations, and inverse matrices. The student was able to use all of the different methods to solve the systems of equations both by hand and with a calculator. We also worked on the written portion of the report, which involved generating three-dimensional graphs of the systems of equations and explaining how they corresponded to the solutions. He was able to see that systems with no solutions occur when all three planes fail to intersect at the same place. On the other hand, a system of equations has a unique solution when the three planes intersect at a single point."
"We went over the student's homework on negative number arithmetic and simple word problems. He had done a pretty good job on both of them. We began discussing and practicing basic number theory and number sense skills such as identifying integers, rational, and irrational numbers, and estimating values of square roots."
"We continued with Infinite Series working on the following specific topics: Absolute and Conditional Convergence, the Ratio and Root tests and Power Series. We went through some definitions of each sections and we did some examples for each topic. In addition, the student showed me some notes from class and his questions were clarified."
"Today, the student and I completed more review question for his test on Monday. We completed questions similar to the ones we did yesterday with inequalities, but this time he wrote interval notation for all questions. There were some new questions to practice with solving complex inequalities that he was able to answer well."
"The student and I worked on her math homework involving inequalities and systems of equations. She did really well with the story problems using our new "common sense" method, which I was very happy about because those have been a source of trouble for her in the past."
"The student has done an excellent job learning and understanding new concepts. He has shown that he is capable of utilizing the quadratic formula as well as recognize how to factor a quadratic equation. He struggles with keeping his positive/negative signs straight, but I know that eventually he will get past that. In our next session, I will review previous material, as well as teach him about algebraic substitution and how to solve equations with multiple variables by utilizing substitution."
"Today, we talked about some of the topics that had been covered in the student's class on a day when he had been unable to attend. These included direct variation and using and interchanging between the different linear function forms. He had little difficulty with the direct variation, before the end of the session however, he was able to correctly answer questions I gave him involving these forms."