Recent Tutoring Session Reviews
"Today we worked our way through a few more problems on his practice exam, focusing in on some key areas that are more difficult for the student. We will spend more time in the future working out how to approach factoring problems."
"We began by covering quadratic equations, such as how to graph them and find special points (vertex, axis of symmetry, x-intercepts). Then we covered the quadratic squares, which the student talked me through with great knowledge of it. After that, we started to do complete the square and other methods of factoring equations. The only recommendation I have for the student is to write more, and to double check his answers, but he does very well. Next week is our next section, and we will continue to reinforce quadratic equation methods as well as the new material that he learns."
"Today the student and I worked on fractions, specifically adding and subtracting. She seemed to have a really good grasp on the problems, and didn't need my help to calculate the common denominator. We reviewed multiplying both the bottom half and the top half of the fraction when converting it. Since I felt like she already had a good understanding of adding and subtracting, I moved on to multiplication and division. She was very receptive and attentive, so I think it will prepare her for exposure to the material."
"This evening, the student and I looked at some items for Algebra 1. We reviewed cube root, multiplicative inverse, and absolute value. With a quick explanation she was able to get the first two easily. As for the absolute value question, we used the method of plugging in numbers to determine what the correct answer was. After she found the answer, I was able to show her the mathematical process for solving absolute value questions. We also looked at how to find the area of a non right triangle that was graphed on a coordinate plane. Between now and the next we meet, she has 15 problems to complete on order of operations."
"This afternoon the student and I went over his last algebra test. He is getting better as "translating" the language to algebraic form. We focused on rtd and mixture problems, using charts. The final section was working with exponents, which the student understands well."
"We covered factoring expressions (perfect square trinomials, factoring by grouping, star method, box method, etc.). He did well on factoring. He has a test on Tuesday, so I am going to send him some homework problems he can work on."
"During this session, we worked example problems from the textbook. We covered solving for variables, cross multiplying, solving for inequalities, expanding and simplifying exponents, and also multiplying polynomials. It has been some time since she covered some of these topics in class, so initially she had difficulty remembering how to approach the question. She was able to remember after prompting. I hope to continue along this path so that in the future when I give her a problem of any type, she can intuitively know how to approach it."
"We finished going over the practice proficiency test from last session and got through a shorter practice proficiency. She seems to be getting used to the types of questions they have on the tests but some of the word problems are still confusing her. We are meeting again Sunday, and I'm going to bring word problems similar to those on the practice proficiency tests we've done to help her get more comfortable with those types of questions."
"We worked some more on exponentiation. I tried to explain it from a different angle: exponentiation is just iterated multiplication. As multiplication is iterated addition, some of the properties of multiplications of sums hold true for exponentiation of a product. It sounds complicated here, but he picked it up pretty quickly. He now seems to understand some of the important properties and can use them to prove random trivia. On Wednesday we'll solidify his understanding. Student 2 and I worked on homework which was an intro to graphing. The student had some misconceptions about the questions but quickly understood what was going on. We then reviewed some multiplication problems. She's making good progress."
"We continued review in preparation for the Algebra quiz next Wednesday. We reviewed converting from rational exponents to radical expressions, solving systems of linear equations, simplifying polynomial expressions, and graphing linear equations using the slope-intercept method."
"Today we worked on imaginary and complex numbers. The student was initially challenged by the material, but after additional explanation of the basic concepts, she seemed to become much more comfortable with it. We worked through an online problem set and she continually improved throughout the session."
"In my first session with the student we began learning basic algebra, including what variables are, and how to use them in basic operations such as addition, subtraction, multiplication, and division. We also began covering exponents, both with whole numbers and variables. I left him with practice questions about the material covered that he will complete by our next session. I considered it a successful session and a good start towards the student becoming more fluent in math."