Valley Tutoring: Tutors in Valley, NE

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Topics reviewed: foiling, distributing, substitution, exponents especially negative exponents, arithmetic sequence. Reviewed an arithmetic sequences and gave a variety of different problems (given a sequence find the distance between two indexes and the n-the term; given the values at two indexes find the equation for the n-the term). Showed derivation of arithmetic sequence equation. Reviewed distribution using properties of exponents. She had some initial struggles with it but was successful for the most part. She still sometimes blanks on basic division and simplifying but she understands the more advanced processes.

Today, we reviewed the 20 vocabulary words that I had given the student. At first, she said she didn't know of them, but upon further examination, she was able to adequately define 14/20 and match 8/20 to their appropriate synonyms. We then worked through synonym and analogy practice problems together. She utilizes the process very effectively. I'm trying to help her see how she can figure out meanings of words using alternate methods - at least enough to get the right answer. She'll take a practice test this weekend.

The student had homework on the relationships between categories of numbers. He understands the definition of the different types of numbers. Ultimately, most of the problems were correct. He has been earning 90-100% in his class work. We finished by representing the trig concepts introduced last week in the context of the unit circle.

We discussed a few previous homework problems. They were creative problems that really challenged the student's knowledge of vocabulary as well as visual thinking. She answered some correctly but needed more guidance on others. I believe she still needs to solidify her knowledge of vocabulary relating to Geometry. We then clarified the definitions of bisect and perpendicular. I advised that she should continue to hone her knowledge of these foundational concepts.

The student went over a worksheet due tomorrow that he was having trouble understanding. He initially didn't understand how to do synthetic division, but he picked it up pretty quickly after a little work and was doing the subsequent problems himself. From that, we were able to cover the Remainder Theorem and determine how to find real zeros, both algebraically and with a calculator. We had a few minutes left at the end of the session, so I returned to one of his older worksheets to discuss how to calculate the domain and how composite functions work.

Today, we continued our work on factoring and expanded to more difficult problems. The student maintained a positive attitude throughout the session. I included strategies to visualize the concepts.

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Session Summaries by Tutors