Recent Tutoring Session Reviews
"Today was used as further preparation for the algebra test this Friday. We first double-checked some worksheet questions and identified some concepts to be clarified, such as how to determine the vertex and the max/min of the parabola. The student wanted to focus on completing the square, and so we walked through some practice problems to demonstrate the concept. We then applied the complete the square method to convert a quadratic equation from standard form to vertex form. Another concept she wanted clarified was how to factor when there is an "a" value other than 1. I introduced her to a methodical approach in writing out a table with factors of a, factors of c, and potential products. This method lays out all the possible options and the best answer becomes clear. If possible, a common factor should be factored out prior to using this method, as it makes it less complicated. With respect to graphing, we talked about the line of symmetry and how to use it to plot mirror images of coordinates on the parabola. We went over the test strategy of carefully reading the directions as well as being okay with asking the teacher clarifying questions. In following up, she said overall she felt pretty good about her algebra test."
"The student and I began the session by working on adding fractions with like denominators. At first, she needed a visual representation and then she was able to add the fractions algebraically. Afterwards, we worked to simplify the fractions. Next, we added fractions with different denominators. She did a good job when only one addend's denominator needed to be changed. She needed two examples to demonstrate adding fractions when both addend's denominators needed to be changed. To prepare her for the upcoming unit, linear functions, we worked on naming and plotting ordered pairs. She did excellent and we reviewed when the x or y value was 0. We then moved to converting a table to ordered pairs and then graphing them. She did excellent. I made a number line and showed her where to place the decimals. Next, I gave her an overview of linear functions and how to recognize a linear function from a graph and an equation. We were going to work on using an equation to graph a linear function, but instead chose to spend the remainder of the session adding and subtracting integers. She made a lot of progress this session. Next session, we will continue to work on integers, solving equations, and operations with decimals and fractions."
"Today, the student and I worked with order of operations and combining like terms on simple expressions and simple solving equations. He did not have difficulties in this assignments."
"The student had homework she wanted to go over from two sections on exponential growth and decay problems. She had to graph from an equation and state the domain and range. There were also reverse problems for which the graph was given and she had to come up with the equation. She also had word problems that included solving for the variable in the exponent, and I showed her how she could estimate the answer using a graphing calculator."
"The student and I covered her algebra homework, which involved rationalizing denominators and simplifying expressions with positive and negative exponents. It went really well, and she is beginning to excel. She did fairly well on her math exam as well. We then moved on to chemistry, and I helped her with her titration lab report and then explained the quantum mechanical model to her. We also went over her exam and the questions she got wrong."
"The student and I worked on some math facts flashcards and he was very fast and had a great accuracy. We talked about focusing on the important parts and keeping the basic facts fresh."