Recent Tutoring Session Reviews
"The student and I went over chapters 7-3 through 7-5, dealing with division of polynomials, factoring, and imaginary numbers. He understands the material once it is written out and shown to him, and he continues to be a very strong student."
"For this session, we looked at the lesson that the student had been working on in school, which dealt with matrices. We completed his homework, as well as worked on adding, subtracting, and multiplying matrices. We discovered what is necessary in order to multiply one matrix by another. We also did word problems with real life applications of matrices."
"We worked on more trig identity problems. I think he has a really good handle on the identities and algebra needed to solve these problems, and it is really a matter of just seeing the right "trick" to simplify the problem. We talked about some common "tools in the belt" to have regarding seeing patterns that could help make problems easier to solve: getting like terms, grouping like terms, and factoring. But I think his is in good shape on this material. A little more practice would help."
"The student finished organizing Lesson 4 and we began working on Lesson 5 which covers quadratic equations. I continued to encourage him that it was okay for now to make mistakes because he just learned a new challenging concept! There was once a time in life when 2+2=4 was the hardest problem and now it has become easy because of all of the practice with addition in life. The same is true for this course. He decided to try a problem on his own after I left which shows a glimpse of initiative. I hope he followed through with that. Tomorrow we will continue Lesson 5, hopefully completing two sections."
"The student has a math test tomorrow, so I helped him prepare for it. His tests are cumulative, so it will cover chapters 1-21 from his math book. I decided to go back on each chapter and go over a few problems with him from each chapter's practice set. The topics we covered included place value through the hundred billions, solving for an unknown value, input/ output tables, properties, and identifying types of angles. He had a good understanding of all topics covered tonight. I look forward to finding out how he did on his test when I see him next."
"There were several issues I had noticed in my first few sessions with the student - all of them having to do with his understanding of some basic algebra concepts. Most, if not all, of these flaws are extremely common among his peers as I have noticed from my other students, and I proceeded to teach him the more foundational points of algebra so that he can work through questions better and faster. Specifically, we covered negative exponents and how to convert them to positive exponents, cross cancellations when multiplying fractions and whole numbers, the interchangeability between standard form and slope intercept form, understanding and rewriting division problems as multiplication problems, and rewriting subtraction problems as addition problems. Once he understood the reasoning behind these techniques and became comfortable with all of these, he realized how much faster he could get to his answer and understood how much this could benefit him. I advised that he keep reviewing these techniques because he would be re-using them throughout the year and into more advanced math classes in the future."