Recent Tutoring Session Reviews
"Today, we looked at an assignment that the student had over quadratic equations. She was not unfamiliar with any of the concepts, but there were certain parts, such as the connection of minima and maxima with whether a function was positive or negative, that she hadn't formally correlated. Once she became aware of how different parts of a quadratic function and its graph corresponded, she was able to complete the assignment with ease. I asked her a few follow-up questions about the relationship between equation and graph to make sure that she was certain about why she used the steps she did in the homework, after which I was confident that she knew why she came to the correct answers."
"We went over the material from the student's last test and discussed some questions she had. We discussed ways she can go over each problem, like writing out each step of each problem neatly in a logical order rather. We also went over the material to be covered this week in class."
"Today the student and I went over the dots method, the a.m. method, how to factor polynomials, foil, completing the square, and graphing parabolas. She went up 20 points on her last test since our last tutoring session, so she's doing great!"
"The student has finals next week. We started by focusing on a math study guide, and going over formulas for linear equations with different starting information. She definitely knows how to do all the different kinds of problems. We also went over her Spanish worksheet. We drilled on the vocab in the packet and also did some work with verbs. She let me know that she got really nice comments from her Bio teacher on her GMOs paper, in addition to getting 100%."
"We went over the student's assigned homework from school, more calculating the areas and perimeters of squares, rectangles, and triangles, as well as the homework problems I left for him from Monday. He seems to really grasp these types of problems, and so, for the remainder of the session, we did a mixture of word problems, solving equations for an unknown variable, etc. These were all review and practice of concepts we have covered in previous sessions, as I did not want to push forward with geometric concepts he has yet to cover in school."
"During today's session, we started talking about arithmetic and geometric sequences and writing recursive and explicit formulas for each. We went over a worksheet that the student had been given in her math class, and I made sure she understood the core concepts of the lesson by asking her to explain to me, step by step, how she could go about answering the different questions. I also spent some time showing her why and how an explicit formula for a sequence might be used, such as when you are looking for a prediction of a faraway term in a sequence. I then designed some additional problems along the lines of the ones on her worksheet and had her solve them for me."
"During our session, we went over the homework problems the student completed and also finished the problems she did not. These problems covered multiplying polynomials, solving for a variable, inequalities, and cross multiplication. I also assigned 20 homework problems for next time."
"She had to complete corrections for a quiz that she did not do well on. She did well on problems using for scientific notation, but it seems she had forgotten many of the rules and shortcuts for multiplying exponents, multiplying and dividing numbers or variables with exponents, and negative exponents. I helped her through these problems, also pointing out the problems she got correct on the quiz. In this way, I was trying to show her the rules she was remembering then show her how those related to the other rules she was forgetting. An important concept for her to understand is the difference between a coefficient and an exponent. Another important concept is the use of parentheses and distribution. I offered to help with more practice on Thursday if she had trouble with the review in class because she is having a test on Friday."
"We broke down the chart for the outcome of rolling two dice. Then we went through the opposite strategy of writing out the possible outcomes ourselves. That seemed to work for her, and she understood where the numbers were coming from. Together we completed two sections from her text book. She did a lot better on these sections than the last two. These seemed to click instantly, whereas the last few required extra practice. She is getting better from practicing the last sections and is showing progress. So far she is doing very well."
"Today, we went over rates of change again and started to review for his unit test next week. He seemed to struggle when it came to identifying which point he should use as final vs initial point. We discovered that as long as you keep the points consistent, you will get the same answer for the slope. We then went over concepts and did practice problems from previous chapters to make sure he was confident for the unit test. We went over how to inter-convert fractions, decimals, and percentages and reviewed how to break down big numbers in order to divide easier. We also went over how to set up percentage of whole numbers problems. He was very confident in how to set up these equations."
"We covered functions and corresponding parent functions. We identified the transformations employed to arrive at a given function from its parent function. We then used this information to graph these functions. After this, we discussed the formulas that identify the vertex and intercepts of a given function. We also reviewed the quadratic equation, how to find the root(s) of a given function, and how to derive an equation that has a given root. She did well today and had a great attitude throughout our session."
"He had an upcoming quiz, so we spent the session preparing for it, covering the graphing of functions, solving quadratic equations, and factoring methods like tricky tram. We also reviewed the properties of quadratic equations such as the roots, axis of symmetry, vertex, and intervals where the function is increasing and decreasing."