Recent Tutoring Session Reviews
"The student and I reviewed vector notation, vectors in a plane, and vectors in 3 dimensions. He also wanted help with dot products and angles between vectors. We then learned about vector magnitude and direction, applications of vectors, and airplanes and head wind. Lastly, we went over how to find the equation of a plane given a normal vector and a point."
"Today we did more practice problems, with the goal of answering similar past questions. When it came to the review, we focused mostly on radicals, the quadratic formula, imaginary numbers, and word problems. He understands most of the problems, but often needs a nudge to get the first step. From there though, he can usually work through the problem."
"The student and I created, cut and colored fraction bars to be used to compare, add, subtract and multiply fractions. We used those bars to work on his summer math packet. The student did not know the method for changing mixed numbers into proper fractions so he struggled slightly with the steps. I left the bars with to use with his packet, I did not leave extra work since the packet is so lengthy and he has just started it."
"We covered comparing/ordering fractions and decimals, equivalent rational numbers, and estimation. The student conceptualized well during this session. He did very well with the material covered. There are no concerns from this session."
"We covered Conic Sections; the student took a 10 questions quiz and scored 100%; I asked the student and family to think of questions about the material and think of what sections he'd like to focus on next. The family is interested in going at a fast pace."
"The student and I reviewed material for her final tomorrow. We went over inverse functions, compound interest (including continuously compounded interest), domain and range, ellipses, and hyperbolas. I sent her a link with a chart comparing ellipses, circles, hyperbolas and parabolas."
"Covered Integration by Parts. The student had not seen this before, and since we didn't cover it Tuesday, I used today's session to introduce it. He picked it up quickly. We will cover the washer method for finding volumes Tuesday. We needed to go back and address integration by parts so we could use it as an integration technique."
"This session, I began with questioning the student on his multiplication tables. He did excellently. I then tested his skill with division, and he knew the correct technique for doing numerical division. Then I went over fractions from 1/2 through 9/10. He did best with 2, 4 and 10. After giving some advice on 7, 9 and 5, he did very well, except he was a bit slow with 6 and 8 (specifically 5/6 = 8.3333... and 5/8 = .625), though he did get the 5/8 after a while. At the end of the session I began to cover addition of fractions. Next time I will test him on fractions and work on addition of fractions followed by multiplication of fractions."
"I covered sections 7.5 and 7.6 from the textbook, which covered the standard and vertex forms of parabolas and graphing. This was the first subject we covered that the student had never seen before, so we took plenty of time to graph many problems, and I left her with over 20 to graph and more of other types of problems. She is becoming more proficient at completing the square but still needs to practice that particular skill."
" We went through his review packet. It was on everything he had learned throughout the semester or summer break. The student seemed to struggle with exponents and radicals the most, they go hand in hand so its understandable that if one was hard the other would be too. No real concerns from the session, wished him luck on his math final that is tomorrow."
"Today, the student and I covered compound inequalities, absolute value and inequalities; relating graphs to events; relations and functions; function rules and graphs; writing function rules, and direct variation. In order to see progress and understanding in him, I made him solve all the odd exercises after we together solved the even exercises in each section. He had no struggles with any of the exercises today. He was very excited actually in solving more exercises. I did leave some homework for him; since we finished chapter 4 today, he has a practice test to solve and turn it in to me next time we have our tutoring session."
"The student reviewed and practiced a number of mathematical concepts, including subtraction and various operations with fractions. He has a fairly strong grasp of most concepts. We also read more of "The Little Prince" and discussed the book so far."