Recent Tutoring Session Reviews
"The student and I spent the session reviewing word problems, bar models and subtraction. She seemed to have a very good handle on all three of these topics and was even able to divide word problems into multi-part problems when required. The one area she had trouble with was deciding whether a word problem required addition or subtraction. I will focus more on this next week."
"We covered linear functions; the sign (+/-) of a slope, ordered pairs and also quadratic functions, which produce parabolas. We plotted by plotting points and identifying the vertex. Linear functions have the form y=f(x)=mx+b and always plot as lines, whereas functions with "squared," values of x will form parabolas. Plotting lines requires at least two points, whereas finding points for a parabola requires many more points; there is no single rule to determine the number of "x" values needed; or exactly which "x" values should be chosen. The task requires choosing values of "x," and plugging into the function in order to find the corresponding value of "y" and then plotting the ordered pairs (x,y) until the shape of the graph can be discerned."
"I looked over the student's notes from Tuesday and Thursday. I asked him to explain the limits of domain for a radical function. He explained it correctly, but was a little uncertain putting it into practice. Once I explained that negative x-values were allowed (the radicand must be positive or zero) he understood. He noticed a helpful pattern in graphing the square roots that helped him with the more difficult problems."
"The student had yet another super long math packet - this one was 50 questions! The problems involved all four arithmetic operations (add, subtract, multiply, divide) with decimals. Overall, he did an awesome job! He worked diligently for the full 90 minutes, and was able to get through the entire packet. There was just was a small handful of questions where I had to get him to slow down for a minute and check his work. He definitely has a strong grasp of the concepts that were practiced."
"We focused on creating inequalities from word problems. The main problem that the student has is knowing when to make the inequality a greater/less than sign, or a greater/less than or equal to sign. Besides that, she did well with the questions. I told her to keep an eye out for key phrases like at least, at most, and up to that indicate that you may need to be inclusive (greater/less than or equal to). We also practiced combining like terms. We did a little bit more than what they were talking about in class (combining variables with exponents), but after a few clarifications she did very well, getting all of the questions correct."
"We covered finding volume between two curves, finding volumes of rotation and finding arc lengths. During these problems we used integration by parts in order to solve the integrals. We also dealt with parametric equations and finding the length of a loop created by an x(t) and a y(t)."