Recent Tutoring Session Reviews
"The student and I continued working on higher order roots and exponents as she is getting more practice to ensure she has a solid understanding of the material. She has great instincts and a solid understanding on how to approach the problems. She only needs to focus on following through and paying close attention to signs and the algebraic operations."
"The student and I worked on two practice exams. We completed the exam, which required no calculator. It mainly focused on combining exponential and radical terms, simplifying, converting to positive exponents, and rationalizing if necessary. We finished more than 95% of the exam, which allowed calculator. It focused on similar concepts and calculations but more in depth. We also distinguished between arithmetic and geometric sequence, solved equations with exponents and radicals, and applied exponents and radicals in word problems. He was able to work independently on problems involving combining, simplifying expressions, and solving for unknown."
"We covered the student's unit 4, dealing with inequalities, specifically conjoint, disjoint, set notation, graphing and 1D and 2D inequalities, solving equations with inequalities, and absolute values. She seems ready for her test on Thursday and she seems more interested in the material now."
"We worked on factoring polynomials. We reviewed long division of polynomials by a binomial. We practiced synthetic division, and how it can be used to determine if a binomial is a factor of a polynomial. We practiced factoring special polynomials, like adding and subtracting cubes, difference of perfect squares, and factoring perfect square trinomials."
"In this chapter we are working on plugging numbers into various algebraic equations. We had worked on this in the summer and so he is doing fine at this. A few trouble spots to tighten up on is keeping order of operations in cases such as 4x^2--doing the exponent first, or distributing negative numbers properly in cases such as x - 2(x + 1). We will get a chance to work on these after the break. Meanwhile, he will do fine on word problems, although making the transition to using algebra for the word problems may take more work."
"We covered u-substitution with integrals in great detail. We worked through almost 20 practice problems in order to solidify the student's understanding of the topic and how to apply it. As we went along he got really comfortable with the material and was solving the problems faster and faster. Overall a great session with him being quite smart at recognizing the pattern needed to solve u-substitution problems."