Recent Tutoring Session Reviews
"Covered all pre-algebra review topic including: Expressions (powers, area and volume, order of operations, writing expressions), Equations and inequalities, using problem solving plan, functions as rules and tables (domain and range, independent and dependent variables), and functions as graphs. The student is very smart and picks up on the math quickly, but when presented with the same information in a different way , she gets held up on how to approach the problem. She will be successful with practice."
"The student and I went over Chapter 9 again. She had much better comprehension of the material than yesterday. We went over Chapter 10 also."
"Both students and I went over the last couple of topics in the Pre-Algebra book, focusing on distribution and eliminating exponents. After showing them how to break the exponents apart to make them easier to eliminate, we started on the first chapter of the Algebra book, reviewing adding mixed numbers with differing variables, and the properties of lines and polygons."
"We spent the session reviewing the last section they had done last week since he wanted more practice. The section was on transformations and translations of graphs for the parent function of x^2. He had had homework from that section already, so we started with some other problems in the book. The first few problems gave functions and asked the student to describe how the graphs of the functions differed from the parent function. He didn't remember how certain aspects of the functions influenced the graph, so I suggested we graph the functions and the parent function to figure it out ourselves since that is usually a more helpful way than simply looking at the book's explanation. Once the functions were graphed, he did very well relating differences in the functions to differences in the graph and didn't feel the need to keep checking that his work was correct. We did problems that had at least on of each type of difference (vertical shifting, horizontal shifting, dilation, and reflection) and he seemed very comfortable with all four by the end."
"We covered systems of equations solved via elimination and substitution, word problems, solving for unknowns, inequalities, and graphing inequalities. We had to do a quick review of how to graph equations using the slope and intercept. She is able to identify the form of equations as either slope-intercept or standard form. She had some difficulties graphing inequalities but after telling her to graph as if it was an equal sign and then modify it before connecting the dots she was able to understand how to graph them. Her ability to understand the limitations and applications of real world problems is improving (i.e. understanding what quadrants of a graph are not applicable)."
"We worked on finding the area of geometric figures. There's one girl in the student's class that's apparently allowed to do 7th grade work, and he naturally wanted to know how to do it. The difference basically amounts to using pi and finding the area and perimeter of circles, instead of just triangles and quadrilaterals. So we worked on that, and he found it fairly interesting. We're going to keep working on the same stuff next Thursday."