Recent Tutoring Session Reviews
"The student wanted to go through the review for a test he will be taking on Friday. Terms we discussed: inverse variation, joint variation, complex fractions, rational expressions, cross-multiplying. Problems we worked through involved: solving for the constant and then finding for a given value of x, graphing complex fractions, solving equations using cross-multiplying, solving/simplifying equations with fractions using LCD."
"Completed problems on simplifying exponential and nth root expressions. Committing the perfect squares, cubes, and powers of 2 would also be helpful to cover in future sessions."
"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."
"We worked on long division of polynomials as well as synthetic division. We talked about what the remainder in the division means. This includes discussing the remainder theorem where f(k)=R when R is the remainder. We also discussed multiplicity of roots and how that affects the graph, as well as making a polynomial from roots. The student picks up the info very quickly and can apply it to similar problems."
"The student has a quiz tomorrow on complex algebra. He could use some review with rules of exponents, factoring and substitution. We mentioned the usefulness of substitution, that you can replace an expression with another expression or value that is equal to it. I'm working on a review sheet to give him."
"Reviewed Venn Diagrams and the keyword indicators to devise location of values. Focused on the understanding of union and intersection symbols with application. In addition we completed at least 25 problems for mastery to prepare for upcoming quiz and test. Student felt confident after overview and was able to apply learned strategies and technique to test taking toolkit."
"We spent the majority of the session reviewing for her retake exam. We also edited a paper and practiced other basic pre-algebra skills. I left her with 25 math problems as homework related to combining like terms."
"Today, we went through the student's review guide for her test. This included part and whole proportions, ratios, area, volume, and surface area. Also, simplifying expressions and solving for the missing variable. We did extra problems of simplifying and solving because she was struggling at grasping 3x-x is 2x. After the extra problems, she was understanding it better. We also worked with unit multipliers. Sometimes she mixes up how to write the unit conversion. We did extra problems of this nature as well."
"Went over homework problems Student A had computed incorrectly and did additional problems to ensure he understood the material. Student B had an excellent test grade from last week! We finished his homework due the next day."
"We covered adding, subtracting, multiplying and dividing rational expressions and terms. The student's attitude was positive. I showed him some strategies for manipulating the expressions to make them more manageable. I asked him to work on problems in the mid-chapter review. No grades or scores. I have no concerns."
"I talked with the student about the identity property of 0 in addition, and she demonstrates an understanding of it. We spent the rest of the time working on single-digit addition and place values. She needs practice on identifying numbers and place value. I will be focusing on those areas until she shows greater understanding of them."
"We met at the library. He told me that they are studying area and perimeter. I then formulated some problems that would challenge his knowledge. I gave the definition of area vs. perimeter. We had to do several practice problems before getting the concepts to proficiency. We later practiced a math writing skill called 'SWRR' - Speak, Write, Reflect and Revise."