Foster City Tutoring: Tutors in Foster City, CA

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Session Summaries by Tutors

The student has a upcoming test that we reviewed for. We began with concepts she learned at the beginning of the year like the properties of graphs and moved on to limits. She struggled a bit with limits so we will continue to review it more. We also worked through derivatives of trig functions and inverse functions. We finished with tangent lines and implicit differentiation.

The student and I had a very productive session. We discussed imaginary numbers and figured out the pattern as you increase the exponent. We looked at a word problem she had in her notes and resolved the issue. We then did her homework assignment where we were looking at the difference of two squares, and other quick ways to multiply polynomials. We then went down the list of each concept that will be covered on her quiz and did some problems from each section.

The student and I reviewed some science materials. We covered a lot of math practice problems (+ - X / fractions) and worked on speed and process of elimination to solve problems with online tools provided by school. We also covered some more difficult word and conversion problems. He says that he has been doing a lot better with keeping track of his homework and getting all assignments done. We continued to discuss study and organization tips (what is working/not working).

Today I talked to the student about his progress and current state in school. He updated me on his college selections. I did review the 9 step process for action potential and go over the labeled diagram - both of which he seemed to have a good grasp on. I told him to review his actual lecture notes because he had not gone over them before hand. I will go over them with him tomorrow.

Reviewed problems for the student's homework involving a new topic from that day's class and provided a formula/strategy for solving such problems. Topics included finding the length of segments of chords/secants/tangents intersecting a circle using mathematical relationships. Also introduced problems for solving the measure of arcs on the circle that are "carved out" by chords/secants/tangents, etc.

The student and I worked on finding the area of skewed squares. She had a procedure, but did not know why it worked. We broke down the shape, and looked for patterns. She quickly saw that we did not have to calculate the area of each right triangle individually, since we would be dividing by two and then multiplying by 4. We created a table to organize data showing the dimensions of the triangles and the area of the shape. Extrapolating from this, she developed a formula that we could use for finding the area of any square, no matter the dimensions of the outside triangles. Using this formula, she was able to mathematically prove why the area of a^2 and b^2 gave c^2.

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Session Summaries by Tutors