Recent Tutoring Session Reviews
"The student and I studied Algebra 4 journal and application problems. Her state assessment test was today, and we should know the results early this summer."
"Reviewed system of equations, division of polynomials, and expansion of polynomials using Pascal's triangle."
"We worked on a test review. It covered graph transformations, quadratic inequalities, absolute value inequalities, and function domains."
"Today, the student was working over material involving simplifying nth roots and evaluating expressions involving rational exponents. Her quiz over this material is on Tuesday. On her quiz, she will not be allowed a calculator or list of perfect squares, cubes, etc. This was her only struggle since she had not had a chance to memorize these lists. However, I would not let her use a calculator for most of the assignment. Instead, I gave her some strategies to help me narrow down possibilities to figure out a problem like the 5th root of 243. She did a great job reasoning through to get her answer, and it seemed like she actually enjoyed doing this rather than just plugging into a calculator. Also, she did a great job simplifying nth root problems involving variables. By the end of this session, I feel that she has these concepts mastered. Also, we reviewed simplifying problems involving exponent rules. I gave her some difficult problems that she did perfectly. The only thing I suggested for her to do is to memorize her perfect lists."
"Today we worked on Unit 7 Lessons 7 - 9. A skills update quiz started the lesson as usual, covering changing a percent to a decimal and finding volume by counting cubes then multiplying length, width and height. The student worked independently and scored 100% correct answers. He decided when to use a strategy of checking each answer with the calculator and see which is right. Lesson 7 covered Circumference of Circles, which entailed understanding pi is an irrational number approximately equal to 3.14, and the meaning of circumference (the distance around the circle, like a perimeter). The formula for circumference is pi times diameter or pi times 2 radii. The student fully understands how to get radius if given diameter (divide by 2). He scored 100% on the lesson checkpoint quiz. Lesson 8 was completed covering Area of Circles. A skills update was completed by the student working with support, he scored a 100%, forgetting only that triangle area is base times height divided by 2 (because a triangle is half of a rectangle). The student easily grasped multiplying pi times radius squared to find area of circles. We noted the difference between radius times 2 and radius squared. I promoted the strategies of writing the formula every time it will be calculated, and drawing sketches of the problems. The student scored 100% on the Lesson 8 checkpoint quiz. We then worked on Lesson 9 on Volume of Cylinders, with a 100% score on the skills update quiz. The student needed support seeing the shapes in a composite figure where four areas were added together. He found the numbers with prompting and readily calculated the areas including the triangle, and knew the areas should then be added. Volume of a cylinder is area of base (a circle) times height. The student understands volume is how much space is in the shape and that the base is a circle of area pi times radius squared. Tomorrow the student will take the Unit Practice test of 15 questions. I will not meet with the student on Monday."
"This was my first meeting with the student and I think it went very well. She has a statistics final exam next week, so we spent our time reviewing. We focused most of our attention on relationships between two variables, specifically dealing with OLS regression analysis. She seemed to have a decent grasp on how to solve certain problems, but she was sometimes unclear on the concepts behind the problems. So we spent a lot of time reviewing the concepts, then focused on doing a few practice problems. I also showed her how to solve regression problems by constructing a table that has a column for every operation that is necessary. She had never seen this method before, and even if she doesn't end up needing to use it on her exam, I think simply working through each step of the problem helped bring into relief the underlying theoretical concepts. Overall I would say our session went quite well. We're scheduled to meet again on Monday before her exam, and I'll bring lots of review work with me. I also told her to let me know if she thinks of anything in particular that she would like to spend time working on. I look forward to our next session."