Recent Tutoring Session Reviews
"The student and I reviewed her homework dealing with graphs of inequalities. She has a good grasp on the concept. We worked on a real-life finance problem creating a graph of cost, then revenue, and then we discussed profit. The graphs were overlaid on one another and she was able to recognize where profit was negative, positive, and what the intersection of the lines represented (break-even point). She estimated the x value at which y=0, and I asked her to think about how to find exactly where that point is numerically."
"Tonight, we reviewed a practice placement test that the student took last week. We also covered some additional word problems and order of operation problems. The student has his test this coming Saturday and seems to have a solid understanding on the concepts covered on the math portion of the exam."
"Today we covered college algebra particularly working in Chapter 5 with substitution and logarithms. The main concept that the student needed to learn was shortcuts and skills in order to efficiently work through the problems. He appears to struggle with some concepts and some of the ways that he is shown are significantly more complicated than they need to be. I helped to show him more efficient strategies when working with each of the formulas. He took notes and began creating a reference page for specific equations. I was also able to see his progress in math and what he would need to improve his grades. He is currently taking a College Algebra class that is partially online."
"We spent the first part of the session doing homework problems from Lesson 40. These were the same problems we reviewed last week so they went by pretty quickly and the student seemed to have a better understanding of them today. After we completed the homework problems we reviewed/practiced binomial multiplication with variables. This is a difficult area for her and she is aware of that so we spent a good amount of time working on them. By the end of the session she was able to correctly solve the problems I gave her."
"The student got 100% on a recent algebra test. We reviewed the partial fraction technique for decomposing a ratio of algebraic expressions. Then we went over new material about the quadratic formula and did some exercises. This was his first exposure to this formula and part of the formula (called a discriminant) that indicates the number of real roots."
"I split the session between the student and her sister. Her sister and I went over the concept of inverse trig functions and how to use the unit circle to solve problems. The student and I reviewed her work on simplifying polynomial expressions and introduced the concept of adding and subtracting polynomials expressions."
"Her pre-algebra class is working on basic arithmetic with negative numbers. During the session we looked at the rest of the algebra placement exam we began on Saturday. The only additional topic that came up to review in the future is approximating square roots as decimals. She told me outside of class she likes to use online resources for additional work as well as solving equations her dad makes up for her to do. She requested in our next session that we spend time on functions, linear and quadratic."
"During this session the student and I worked on her homework which required graphing using time. She needed a little bit of explanation on this concept but did well and completed the rest of her work with ease. We also wrote a response to a prompt given by her teacher about Peter Pan, which they are reading in class."
"We covered optimization, linearization, and differentials. I discussed how differentials are just an extension of linearization. I discussed how the rate of change in a word problem correlates to the derivative. I introduced how the integral relates to the area under a curve. We will work on the integral next session."
"Today we went over the student's algebra homework. She seems to have improved on manipulating exponents since last week and we broke down appreciation/depreciation problems and created a new way of thinking about them. She passed her algebra last week."
"Today the student and I reviewed the Pythagorean theorem and reviewed cubed roots and numbers being cubed. She did really well at recognizing the use of the Pythagorean theorem even when I stretched the bounds a little and gave her something she hadn't seen before. She also nearly memorized the cubes which she will most likely have a timed quiz on this week. I left a sheet with her so her parents can quiz her or she can quiz herself on all the numbers. I am really pleased with her progress, she seems to be more engaged and doesn't shy away from doing math problems. While math may still not be her favorite subject, I am recognizing the signs that the concepts are starting to be understood more quickly and with more retention."
"For this week, the student completed practice questions in preparation for her quiz in sections 3.1-3.4 tomorrow. She worked on problems from two quiz assignments from the textbook, as well as application problems from review worksheets and the text. She feels confident in her ability to work through problems, however, I did advise her to work slowly and carefully to avoid minor errors. For our next session, we will be reviewing all of chapter 3 for a test."