Recent Tutoring Session Reviews
"The student and I continued to look at Conic Sections, specifically hyperbolas. We discussed the different elements of the hyperbola, its equation, similarities. And the differences between hyperbolas and parabolas/circles/ellipses. We worked on problems (homework from the book) that involved placing equations of conic sections in vertex form and then graphing."
"The students had a math and science test on Thursday so we worked on both subject areas. First, we went through their science review and made sure they understood all the sections. I helped with a few areas, but they seemed prepared. Then, we used a math app to practice rounding decimals."
"The student and I studied for his Calculus 2 quiz scheduled for Wednesday. We reviewed the concepts and application of integration with trigonometric substitutions and partial fractions. We did several practice problems for each topic. He continues display accuracy in algebra and has a firm grasp on the fundamental concepts, as well as applying them to different problems."
"This session began with a verbal review of work studied the day before and the student did a few practice problems while referring to his notes. The student took a short quiz on perimeter, area, and changing metric units. He scored 100% on this quiz. He recalled that a square has 4 equal sides, and performed a 2-step calculation. Changing units included "mental math" of multiplying by 100 and 1000 (moving zeros over and moving the decimal point). The student then worked on the next Unit which was fractions. He took graphic notes on proper and improper fractions, mixed numbers and negative numbers. He fully understood that negative numbers are less than zero and can be thought of as "owing money." He practiced finding fractions on the number line, changing mixed numbers to improper fractions and vice versa. He scored 100% on the Unit quiz without needing any support. Finally, he considered going from words to math by noting the meanings of "sum, difference, product and quotient.""
"I sent the student a quiz on the same math topics we have been reviewing: LCM, GCF, percentages & division of fractions. She worked on the quiz without any assistance, similar to how a school quiz would have been given. Then, after about 20 minutes, she completed all of the questions, and we discussed the answers. She still needs to pay closer attention to word problems and what they are specifically asking for. I also emphasized that she needs to continue reviewing percentages due to the connection with real world situations such as grocery shopping. Then, we discussed her math class, the upcoming week's schedule and new math topics that they are covering. Starting next week, we will be reviewing the multiplication and division of decimals. She also wishes to become better at writing and reading. She is interested in British culture, so I said I would recommend appropriate books and movies to her mother - especially those that may be connected to the holidays."
"In this session, I worked with the student on multiplication facts for 5, 6, and 7. We reviewed flashcards in the segment. I then had her complete a timed test for multiplication tables. She seems to understand the facts and get the correct answer. We then spent an extensive amount of time on getting to ten to mentally complete addition and subtraction problems. She is able to complete most of the problems in her head, but struggles with how to finish the problem off by adding or subtracting the difference between the rounded number and the original number. We then spent a short period working on time. She needs more practice with a base-60 system and understanding vocabulary terms such as quarter past or quarter till. The next lesson should incorporate getting to ten mental math problems, work on time, and whatever needs come up in her lessons from school. If possible, I would like to see an example of the timed tests she takes to better fit the ones that I give her."