Recent Tutoring Session Reviews
"Today we spent time factoring expressions and simplifying them. The student is getting much better at this. We spent time working with factoring perfect squares and with factoring quadratics that had coefficients other than 1 in the x squared term. Understanding multiplying the outside terms of the binomial and adding the product of the inside terms results in the x term in the quadratic equation--the student seemed to grasp this better today. We also worked with reciprocals and common denominators. He was very focused and worked hard in today's session. He also asked very good questions on the steps we went over."
"We covered synthetic and long division with multiple different cases and examples and solving polynomials with u-substitution. She was receptive and understood after multiple practice problems. I gave her step by step methods and assigned her to walk through the problems we've done to understand each case. The one thing she has the most trouble with is arithmetic errors/ writing down things wrong and I advised her to take things slowly. If she double checks her work I have no doubt she will do very well as she grasps the material quite well."
"Today we focused on exponents. We worked on all of the rules pertaining to division and multiplication of variables and coefficients with exponents and did a lot of practice as well as corrected the work he did the last two days in class. He finished the session with a much better grasp on the topic and I marked some pages in the book that he could use for review until next week."
"We reviewed problems on simplifying exponential and nth root expressions. The student said that the early part of this unit has been difficult and she wanted to understand the material better before the test on Feb. 18. She seems to have a better handle on the rules and approaches than she expected. Returning to problems that had previously been troublesome was less difficult than she anticipated because she has since had more practice with more difficult problems. She now is fully prepared for these types of problems on her test."
"Today the student and I began working with a new textbook. This material is more advanced and I think it will do a better job of preparing him to test out of algebra and geometry in high school. We started with the first chapter, lessons 1 and 2, which covered how to identify numbers as whole, natural, rational, irrational, etc. From there I explained how to recognize sets of numbers as finite, infinite, or null. We also talked about the differences between variables, constants, coefficients, and factors in expressions. This was a lot of new material but he was receptive as we talked through each of these concepts. For homework I assigned him the test in the workbook, which will give me an idea of how familiar he is with a wide range of concepts before we continue."
"The student has been working with a system of equations. The assignment we looked at today involved graphing the equations (with inequalities) to find the area of overlap. Once the area was determined (x,y) points of intersection were used to find the z value in another given equation."