Recent Tutoring Session Reviews
"Today I reviewed multiplication and division flash cards, focusing mainly on multiplication which the student has the most trouble with. He has trouble memorizing the following multiplication problems: 9x7=63, 8x8=64, 4x6=24, 4x7=28, 9x6=54, 8x6=48. He can arrive at the answers by adding or subtracting a number from a similar problem, but it takes him awhile. He also has trouble with related division problems; 63/9=7, 64/8=8, 24/4=6, 28/7=4, 54/9=6, 48/8=6."
"We reviewed the student's homework. She was to graph, by hand, the profit-yielding equation (P = 11.43a - 1,425,000), which relates the number of festival attendees to a particular amount of profit in $USD. First, we estimated aspects of it (Where does it cross the y-axis? What's the approximate angle of the straight line created by it?), and then we graphed the line more accurately. We also talked about the "break-even" point, and how it related to profit, and attendees. We also first estimated it by simply viewing the graph, and then algebraically solving the equation to find the precise break-even point, and what that really meant (expenses = income, profit = $0, and at that point, a certain number of attendees would have actually bought tickets, which tells a CEO that more attendees need to be recruited to the event if the operation is to have a successful return for investors). Next, we solved and graphed a set of two equations to see where they intersect, and began discussions about what this actually means, and how it can relate to real life (for example, in a similar situation involving the last business situation). She understood this concept immediately, and her homework was to, 1. estimate where the two lines intersect, 2. find the precise point at which they intersect, and 3. explain what significance the intersection has on both lines (equations), and to extend that to a real-life scenario."
"Today we learned how to solve and graph inequalities, reviewed the quadratic equation and did reading comprehension practice from the placement test practice exam booklet."
"The student and I worked through a number of state test-related worksheets on fractions (4) and number lines (2). We also worked through six reading passages and their corresponding problem sets. We will meet on Thursday to complete this week's study program."
"Worked on Chapter 8 word problems, some I constructed, some from other books. All are decimal word problems for 4th graders. She is very anxious about some problems. The hardest one we encountered was difficult for her because it involved a subject who drove to several locations. Since driving is such a far future concept for her, she had a hard time separating the numbers from the details. I showed her that she could cross out the useless information and circle the numbers, and we drew a number line for this problem. I assured her that most adults hate word problems, too, and she needs to go slower and relax."
"Tonight we worked subtracting two and three digit numbers with regrouping. The student did a super job in explaining what to do next. She shared with me that she was able to answer a math question about regrouping today at school. We also worked on reading comprehension with the story, Sugar Plum Ballerina. The student did great in answering the questions about the text. Her assignment is to continue working on her addition and subtraction cards."