Recent Tutoring Session Reviews
"I helped the student go over his test corrections, and we reviewed upcoming material, including sine, cosine, and tangent."
"The student informed me today that he had already completed his homework in class. I decided to take this opportunity to really work with him on some basic math additive patterns. We started with the various ways that one can add two counting numbers and get ten. As this was review he did well with this. I then gave him two numbers that added up to one less or one more than ten. He quickly understood this as well. We continued with adding various quantities down to and up to nineteen. At this point I asked him to count up by twos (both odd and even) to one hundred. We changed gears again when I gave him numbers with two or three digits and he had to tell me how many tens, ones, or hundreds. After that, we finished up with adding multiples of ten in our head, and finally multiples of ten with five or less in the ones place."
"During this session the student and I reviewed what he had been working on since last week to make sure he had a good understanding of it. He was still working on linear equations, this time with point-slope form. I had him write the equation of a line and graph in several times from a given slope and point, testing him with negatives, fractions, and vertical and horizontal lines. We then repeated the exercise with an extra step; I gave him two points and he had to first find the slope and then use his new formula to give the equation of a line and graph it. With the second student, we looked at his worksheet on finding the area of trapezoids. Other than reminding him to explain his answers in writing where indicated, he did the problems correctly and had a good understanding of the material. We then worked on his homework for the next night. He understood the directions by just looking at some examples and did the problems with very little guidance. I only needed to explain what a few of the questions were looking for and he was then able to solve them."
"The student had an exam tomorrow and wanted to do a last-minute review of the material, which covered everything from the beginning of the year to last week. Topics we reviewed included polynomial (quadratic) factoring, solving for roots, finding vertices of parabolas, imaginary numbers, complex conjugates, and various graphing methods. She was able to review all of the concepts well."
"We went over trigonometric identities, solving and simplifying expressions. The student will ask his teacher some questions and continue to practice for his upcoming test. We also went over ways to optimize studying and reduce stress."
"We went over the next two sections of the student's new unit - right triangle problems, and the law of cosines. She had no problems with the right triangles. She was able to quickly identify whether to use sin, cos or tan, and she was able to draw the right triangles from word problems. She wasn't familiar with the law of cosines, but after I introduced the formula and showed her two examples, she was able to complete the rest of the problems on her own. We quickly had to review how cosine is negative in the second quadrant, and therefore she has to use reference angles if a problem has a negative cosine, but otherwise, she had no questions."