Recent Tutoring Session Reviews
"The student and I reviewed fractions in depth. We did problems involving the addition, subtraction, and multiplication of fractions. We also did algebraic equations with order of operations in mind."
"The student and I had a very productive session. Working through his homework and through several additional worksheets I had provided, we focused on sharpening his vertical multiplication and simple long division skills. He mentioned that he was having difficulty with his 6-multiplication tables and his 7-multiplication tables, so we began with those. We then proceeded to take on two and three digit multiplication problem sets. He had never multiplied a three digit number by a two digit number before, so I taught him the simple trick of "laying an egg" (AKA making sure to add zero as a placeholder when beginning the second line of the multiplication problem). This simple trick seemed to stick with him, and he remembered to do it every time. Towards the end of our session, he read aloud to me from a book he was reading about cats and dogs. At the end of each page, I asked him to summarize what had happened and to make inferences about what might come next."
"The student got a quiz back; he demonstrated a 7% increase from his last quiz, but still is not performing with proficiency. After reviewing the answers on the quiz, there were some questions he could have gotten correct (8^-2=1/8^2). He was able to demonstrate deeper understanding. For the remainder of our time, we explored calculating percent problems. For now, when he gets an answer, he accepts it as correct. He still needs to develop multiple ways to solve a single problem type so that he can properly check his answers. Today I showed him how to solve percent problems using standard algebra, using the cross-multiply technique, and by estimating. Next week I will meet him on Wednesday, per the parent's request."
"The student and I reviewed what we covered last week, which was solving systems of linear equations through substitution. I gave him a homework assignment to complete before I see him next week pertaining to systems of linear equations."
"The student had a great session today. We worked on using prime numbers to simplify fractions. He changed numbers into different prime number sentences (such as 15 = 3 x 5). We worked on simplifying fractions with denominators and numerators that were between 1-50 and used sticky notes to practice moving different numbers around in order to find the simplest form of a fraction. After the session, I showed his mom how to use the method so that she can continue to practice with him throughout the school week. Next time we will continue to practice simplifying fractions and use a new method to add and subtract fractions."
"The student went over sections 2.6 and 2.7 today on composite functions, inverse functions and finding the domain of these functions. He confessed that he gets very nervous doing math problems and I told him he is one of the brightest math students I have. We will meet again on Friday at 3 p.m."