Recent Tutoring Session Reviews
"We went over sections 2.1 through 2.8 (all of Chapter 2) to prepare for the first test of the semester (tomorrow). The topics were definitions of limits and how to compute them, as well as the two definitions of the derivative and how derivatives affect the shape of the graph."
"I met with the student for the first time today to work on her Business Calculus assignment. Her assignment focused on using derivatives to find maximums and minimums of a function. For the most part, she understands how to take derivatives. As we worked on the problems, she became much more confident in what she was doing, and was able to complete the problems with little to no prompting from me."
"Today, the student and I studied sigma notation, formulas for finding finite sums of simple expressions, and infinite limits of sums. She had no trouble at all with the notation or the formulas, and only needed a little extra explanation to figure out how to evaluate infinite limits."
"We covered limits, differentiation, the product rule, the natural exponential and logarithmic functions, solving equations, the chain rule, and implicit differentiation. She was challenged a little with the exponential function and logarithms, but after I showed her how to solve them she quickly caught on and was able to work the problems by herself. She had 2 homework sets to finish."
"The student had a review sheet with about 20 problems on it. They were all graphing functions. He had sin, cos, tan and cots to graph. He had a good grasp of the subject and knew when graphs were reflected vertically and horizontally shifted. I suggested that he finish his practice sheet, review that topic again in the text so that he will be ready for his test tomorrow."
"In this session we worked on functions involving polynomials and radicals, including rational functions. The student has a good understanding of the material, and has gotten enough practice that he is very comfortable with most of the methods involved. I am confident that he should perform well on his test on Thursday."
"The student and I continued reviewing solving inequalities by adding, subtracting, and dividing. He worked on word problems with fixed and variable costs, and then continued into prime factorization, factor tree, factors, and lowest common factors."
"Today, the student and I practiced solving systems of equations and multiplying/dividing binomials. This also gave us the opportunity to practice factoring. She remembered how to factor, and did a good job of solving the systems of equations. We also reviewed everything else we did during the week, and she was able to solve every problem."
"This 1.5-hour session focused on reviewing upcoming subject areas for the student's Algebra class, which starts in Aug. The student worked on four individual sections of his text and workbook that relate to building skills, and we worked on development of multi-step equations throughout these four sections. The concluding portion of the session gave him extra work to take on his upcoming trip. He was assigned quizzes and reviews on a website, which is directly related to the work being done in his text. He was also given reading assignments for his book Ender's Game (two chapters to read per day on his trip, and to complete study questions for the reading)."
"First, we went over some problems I gave her to work on since last weekend. She'd made some minor errors and we worked on correcting them. We then we went over a packet she got from her summer school class with practice test problems. We got through about 3/4 of this packet, and I again left her some practice problems to try before our next session tomorrow."
"This was my first session with the student. She and I reviewed sequences and series, as well as divergence/convergence testing. We reviewed different types of commonly found patterns (geometric sequences, arithmetic sequences, and factorial sequences), and how these sequences can be hidden by adding a coefficient or a constant to the formula for the sequence as well."
"Today, we went over exponential rules and how to simplify exponential expressions. After working with some practice problems, she gained a solid grasp of the process. We also worked on her online assignment which included problems dealing with finding the perimeter, setting up word problems, rational and irrational numbers, and polynomials. She was already very comfortable with plugging the correct values into perimeter and area formulas and could easily manipulate polynomials. She quickly understood a new problem containing absolute value signs as well. We will be focusing on mental computation (knowing her multiplication table well enough to arrive at an answer quickly) and computations involving negative integers, which we worked on briefly as well. Overall, I felt the session was very productive."