Recent Tutoring Session Reviews
"We reviewed over the topics which the student's class is reviewing over in preparation for their end of course exams. We mainly covered exponents and the various rules of exponents, including problems that combined multiple rules. In addition, we went over finding area and perimeter of shapes when the given side is in the form that includes variables, such as a triangle with a base of X+2 and "H" of x^2. The student was truly grasping all of the topics well. She completed the problems with ease and great understanding."
"Topics covered: system of equations, graphing system of equations, unique solution, infinitely many solutions, no solution, parallel lines, review of slopes. She very easily understood whether a system had a unique solution, infinitely many solutions, or no solution. On one problem she did not graph each function far enough to see the intersection, but that incident helped in a word problem where the student in the problem made the same mistake. She is a bit rusty with dividing by fractions, but not enough to be an immediate concern."
"Student and I covered basics of logs, exponential inverses and using graphs with logs. The material was a bit shaky, so we will be doing extra work next week to make up for it. She is a very sweet and inquisitive student. She is engaged and curious to understand. Hopefully, our sessions will continuously become better and more useful."
"Student and I worked through her ACC homework per usual. The class is beginning to branch into algebraic equations, which the student is actually quite good at, due to our previous algebra sessions last semester. She is progressing very well and really learning the basic math skills she needs to succeed."
"We reviewed how to solve algebraic equations. We then graphed 2 equations on a graph. We used the point of interception to test both equations. If the equations were inequalities, we shaded after testing points."
"We covered the difference between quadratic, linear, and absolute value functions. We practiced identifying the type of function when given an x-y table. We practiced plotting these functions, and I also taught her how to find the slope of the line segments between each pair of consecutive points. We reviewed the definition of slope, and I retaught her slope-intercept form to build a more solid conceptual understanding."
"Today we covered solving systems of equations by elimination using multiplication, addition and subtraction. The student understood the concept. I believe with more practice she will be able to work through the problems without making the calculation errors. She had a positive attitude and was able to finish all of her work. She had a quiz her previous class over the material we have been covering and believes she did well on it . Very good session."
"Reviewed challenging Singapore bar problems that involved fractional quantities in preparation for a math test. The student had good instincts with two of the four problems. The first problem was challenging, but once we discussed how to set up the bar model, she appreciated the thought process and was able to solve the problem. The last problem had previously been tackled on a POW, but she has forgotten how it was done -- perhaps this is an indication that we should be reviewing old POWs in order to ensure that she retains the learned concepts."
"Today we covered inverse functions, mathematical properties (cumulative, distributive, etc.), and absolute value equations. The student had difficulty working backwards and creating equations from answers of inequalities. She wants an A in the course. In this session, I suggested that she redo old problems to practice and study for the quiz she has on Friday. I did not leave her with extra practice, but I did drill her while she was there. Friday is her first exam."
"The student and I discussed topics related to the new chapter, focusing on multiplying polynomials, reviewing exponent rules, factoring by grouping, and factoring quadratics. He picked up the new concepts pretty well but will need more practice before he retains them on his own."
"In this session we worked on the student's online homework, based on properties of exponents. The assignment had ten segments with questions on the product of powers, quotient of powers, distribution of exponent and negative exponents. In order for her to understand these concepts I had to work through the problems with her and show her the exponential rules for each of these cases. She did not seem to have any previous understanding of this concept. But after working through a problem with me she was able to apply the exponential rules to the other problems on her own. We were able to complete her homework assignment correctly."
"We looked ahead in her text book to the sections on solving systems of linear equations through substitution and elimination. She understood substitution very well and picked it up very quickly. The elimination method was harder for her, and she had to think really hard about whether to add or subtract the equations."