Award-Winning Private Algebra Tutoring in Danbury, CT

The student just had an exam earlier today, and his teacher was kind enough to provide him with practice material for the upcoming chapter they intend to cover in class. We got a head start today and covered adding, subtracting, and multiplying polynomials. He did very well on practice problems and had some trouble with word problems (contextualizing mathematics). We'll revisit this during our next session. I left a few worksheets with answers for him to practice if he has the time.

Covered angle points and algebraic equation solving. His attitude was of a good student who really wanted to improve and was trying his hardest to understand everything. I asked him to practice and look at the equation and what they are asking. Also to write down the givens of he equations as well as what the question was asking. Wins: He is a hard working student who is doing his best.

We continued on solving a system of equations. We focused primarily on the graphing side of solving. I broke down how to graph based on the slope intercept form. After a couple of examples, she felt confident in creating graphs based on slope intercept form. I then taught her how to convert equations in standard form into slope intercept form. We practiced converting standard form into slope intercept. I assigned her some extra work to help her practice.

We went through her worksheet. It was about logs and their properties. I explained to her how she has to use different properties to solve each question. Then we went through some exponent rules. I explained all of them to her and showed her how each works. We solved almost 40 questions. She is doing well.

We went through his homework on polynomials. He had some trouble with the vocabulary at first, but once we broke them down to root words, he did very well. He did a great job remembering to distribute negative signs, even without prompting.

We finished the chapter on lines by working on graphing inequalities and moved into systems of equations. Mostly we talked about graphing systems of equations and the conceptual meaning of a "solution" to a system of equation. We also quickly reviewed substitution as a method of solving them. We'll get into elimination next week.