Recent Tutoring Session Reviews
"We covered Pythagorean theorem, and reviewed exponential, quadratic, and linear equations and their key features. He has a unit test Friday covering this material, so we wanted to make sure he understood the ins and outs of the equations. I showed him how point-slope form could make linear modeling easier, and he took to it very well. I also showed him how a quadratic modeling problem he was confused by was in the same spirit as a simpler one (that is, getting past the wording and concept of the context)."
"The topics covered today were: adding and subtracting rational expressions and solving equations involving one variable. Overall, we had a productive session. today"
"The student informed me that he had a quarterly during the week. We went over the four factoring methods, how to determine the x-intercept, y-intercept, axis of symmetry, and vertex given an equation in standard quadratic form and vertex form. He showed me his past test and he got a 92% on it. I am very proud of him. He seems to be progressing."
"During this tutoring lesson, the student and I worked on Algebra Practice Worksheet 9-5. This two-page worksheet consisted of 39 questions. The main focus of this Algebra worksheet was solving algebraic equations by completing the square. In addition, we reviewed how to "find the value of c such that each expression is a perfect-square trinomial." Also, the student and I went over the quadratic equation of form y = ax squared + bx + c = 0. This algebraic equation is known as "The Quadratic Formula." This is a very important concept in Chapter 9. As always, he was focused and on task during our tutoring lesson. Thus, our session was very productive."
"In this session with the student we reviewed for his upcoming algebra test. Topics that were covered include factoring, proportions, simplifying, and finding common denominators. Practice problems from his review were completed where we discussed different algebraic techniques."
"We covered systems of linear equations, the substitution method, and the addition-subtraction method. The student was able to work through several problems on her own after we went through an example."
"The student and I worked on direct variations, proportionality, inverse equations, hyperbolas, and mixed equations. She is doing very well and I left her with practice questions to complete for the upcoming chapter."
"Today the student worked on several homework sheet. In science, she went over levers (first, second, and third class) and came up with several real-world examples of different types of levers. We also looked at a continuation of our last session on work. In math, we did a big review of proportions and similar figures because she has a test coming up in the next few days. We also did a review of scaled drawings. Overall, I think she is getting better at thinking through answers and using a "common sense" check."
"During this session, the student worked on his algebra homework on multiplying polynomials. It was a homework that covered many different aspects of polynomials. He did problems that covered factoring polynomials, solving for the variable, finding factors, and other problems. The student was able to accomplish all of these pretty easily, and seemed to enjoy it, which was good to see. We talked about how to think ahead or predict what the answer would be when factoring, based on the numbers in the polynomial. We also discussed which steps to take for which type of problem, since there are many different ways to attack a polynomial. After he finished the homework, we did a few more review problems on some of the harder sections."
"We decided to review the concepts we learned last time. This mostly included putting equations into slope-intercept form and graphing them. We worked through a bunch of examples and spent some time working on memorizing the form of the equation."
"What was covered in this session was the homework that I assigned the student from last session. Because the student is being taught accelerated material that is not currently being covered in class (because it is more advanced mathematics), it is imperative that the student completes the assigned homework that I give to him. If the student is only exposed to new material once a week through tutoring sessions, it will easily be forgotten the following week, and thus repeated exposure of the material through weekly homework is a necessity."
"The student and I worked on a homework assignment over FOILing and unFOILing expressions. I was very impressed with her FOILing because she was very accurate even when multiplying two trinomials by one another. However, she struggled with unFOILing expressions, especially those in which the first term had a coefficient that did not equal 1. I provided her with a few methods for thinking through the problems. I directed her towards some outside resources which could possibly help her finish."