Recent Tutoring Session Reviews
"We talked about graphing basic rational functions by finding their important characteristics, such as the domain, range, x-intercepts, y-intercepts, horizontal asymptotes, vertical asymptotes, and general shape. The most challenging part was determining the basic shape once all of the other information had been determined. Often, it involves testing multiple points, or it can involve testing to see whether the function as a whole is positive or negative by examining the product of its factors. The important thing is to be sure to check your results, because different graphs can have widely disparate shapes."
"We went over adding, subtracting, and dividing complex fractions. We worked out all of the study guide problems, and I gave the student a problem that combined the skills we learned. The student seemed to better grasp these types of problems. The student struggled most with distribution of lone signs like a (-) before a term. I offered several ways of checking how to approach the common denominator issue."
"She is learning fractions in school. She understands the concept of fractions and can visualize equivalent fractions. When it comes to equivalent fractions, she doesn't always understand that what is done to the numerator must be done to the denominator. With prompting, she got the answers. When we finished her homework, we practiced some more on paper. Then we moved to a different type of math and completed the 2nd page of a lesson we began last week. With the remaining time, we moved to multiplication and division problems."
"I went over the student's corrected homework with him and then had him do several pages of worksheets in his math book. We went over multiplication, addition, and subtraction, as well as word problems and fractions. He has been steadily increasing in his competency and confidence. We played his arithmetic game during the last portion of the session."
"We reviewed the various methods for factoring polynomials. I provided strategies for solving differences of perfect squares and cubes and sums of perfect cubes. We covered the quadratic formula. The student was not knowledgeable of the quadratic formula. We worked on a few practice problems to help the student grasp the concepts. I shared with the student that knowledge of the various factoring approach is important as he may be asked to use a specific approach in an exam, quiz, or homework."
"The student has a test on Friday. We went through his review packet. He feels prepared for his test."