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Private In-Home and Online Math Tutoring in Fox Lake, IL

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Session Summaries by Math Tutors

Fox Lake, IL Math tutoring
The student worked on a homework packet that reviewed the rules of logarithms, expanding and condensing logarithmic equations, using the sum and difference rules of logarithms, and the power rule of logs. After reviewing the set up for each of the different problems, he had no trouble setting up and solving the rest of the problems in that section on his own. We worked ahead after finishing the homework on the second half of the same assignment.
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Fox Lake, IL Math tutoring
Reviewed graphing rational functions, simplifying rational expressions, and solving rational equations. Seemed uncertain at first but picked up logic and methods very quickly as the session went on. Should do well on the test.
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Fox Lake, IL Math tutoring
During this session we did some review of the rules involved in manipulating equations that deal with logarithms. We went through a worksheet in order to prepare the student for her upcoming retake. We then discussed some of the concepts involved in stoichiometry. We used balanced chemical equations to find an unknown amount of product when we were given a known amount of a reactant. We emphasized the role of conversion factors in allowing you to go from amount (grams or moles) of reactant to product.
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Fox Lake, IL Math tutoring
The student had two in depth questions from an IB test over complex analysis that we worked through in detail.
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Fox Lake, IL Math tutoring
The student continues to impress me with his grasp of mental math. We covered chapter 13 (negative numbers) and worked through week 16 of his CML sheets. While a couple of especially tricky questions tripped him up, he breezed through nearly all of the material. He completed nearly all of chapter 13 during the session, so clearly it's a subject he already has a very strong grasp of. He should continue with the book and move on to chapter 14, continuing as far as he can get as long as he scores at least 80% on each section. I will bring a worksheet that revisits ratios and rates for the next session, because those seemed to be slightly more difficult concepts for him, but he should still continue forward in the book.
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Fox Lake, IL Math tutoring
Today we went over the test review, which will cover sections from 3.1 to 3.3. We went over the concepts in 3.2--continuity and differentiability. I helped the student to understand the difference and relation between these two terms: the former doesn't imply the latter, but the latter implies the former. Also, I showed him how to prove continuity and differentiability, and he learned very quickly. We worked on some problems on differentiability, and I went over the concepts of symmetric difference quotient and its disadvantages (missing the corners, cusps ...). We ended the session with some problems from 3.2, which is about differentiating by the Power Rule and finding the horizontal tangent lines.
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