Recent Tutoring Session Reviews
"Today, we looked at an assignment that the student had over graphing quadratic equations. He was unused to some of the work; most notably converting from standard to vertex form. Once we went over the different methods he could use, he found one that suited him best and used it to correctly rearrange and graph the equations in the assignment. At the end I asked the student to describe the general format of vertex form and what each component meant, and he did so correctly."
"In our last session, we covered: lines as they represent physical attributes, simplifying and solving algebraic expressions, finding the domain of a function and plotting it on a number line, and exponential series. The student understands exactly what he needs to do in order to solve the problems. He was optimistic toward the material and the homework assignments."
"We are continuing to work through a practice guide for taking the test. In today's session we covered factoring algebraic expressions (binomials and trinomials). We learned patterns for difference of squares, perfect squares, and the FOIL method. This was the student's first exposure to this topic and she performed very well. In addition to the practice guide problems, we worked through an online worksheet."
"We worked on polynomial addition, subtraction, multiplication, and division. The student is proficient at all with the exception of polynomial long division. She was having problems with the steps. I had her complete several problems and watched her step by step process to discover where her mistakes were occurring. Once I discovered it and explained the correct method, she tried several more problems and was able to correctly complete them with very little assistance. I'm going to review the concept at our next session to be sure she completely understands."
"We worked on adding rational expressions. The student had no trouble when they had the same denominator, and we got through the homework for that section. Then we worked on problems with different denominators. This was a bit trickier, but she seemed to be getting it by the end, and was able to do problems on her own and get the right answer."
"During this session, we continued to practice rearranging equations and factoring quadratic equations. The student understands how to perform the steps needed to solve factoring problems and simply needs to continue practicing to remember the order of the steps. He continues to be excited as he realizes he understands how to solve these problems. I left him with a problem set to complete for our next session. We will continue to work on simplifying and rearranging equations, particularly quadratic equations and then we will move on to other methods of solving quadratic equations."