Recent Tutoring Session Reviews
"The student's class has expanded the concept of trigonometric proportions to where they are solving for missing values for similar polygons. He has a pretty solid understanding of trigonometric ratios and I'm finding that having him explain the problem-solving process works really well for him and even helps him spot and correct errors. I am seeing very significant improvement in writing out steps for problem-solving, which is essential for solving proportions."
"Worked on right triangles. Started with isosceles, and 30Â°-60Â°-90Â° right triangles. Worked on the associated formulas and how the formulas are derived and used. Next we worked on ways to simplify square roots. We followed this by working on right triangle problems that involved the use of cos, sin, and tan in terms of an angle's adjacent, opposite, and hypotenuse. Last we covered some word problems, we discussed the importance of a well drawn picture, and how to set up you problem. We also ran into similar triangles which we discussed as dilations and how ratios fit in. I think that she has a fine grasp on mathematics. She was great at asking questions when she wasn't sure, and showing her skill on similar problems once a concept was understood."
"Today the student and I studied about surface areas and volumes of solids. We discussed the formulas for spheres, prisms, cylinders, pyramids, and cones. We then looked at the formula for each and tried to understand how they were derived. For example, in cylinders and prisms the volume is the area of the base times the infinite number of imaginary "slices" or the height. Using this information, he and I worked together and completed the test review. He seemed to have had a really tight grasp on the material today."
"The student was doing fine with her geometry work because of work that we had done previously. Today we talked about operations (addition, subtraction, multiplication, etc.) and how everything can be simplified to addition and multiplication. This is all to help her better understand order of operations and how to manipulate equations and expressions. She seems to be picking up the material and it seems to be helping her reduce her second guessing."
"We went over the student's test in detail. She has an excellent grasp of the Pythagorean theorem and for using the sine and cosine trig functions. She made a mistake using the 30-60 special triangle formula, but that was very easy to do because the picture was deceptive. Otherwise, she was very accurate using the special triangle relationships to solve problems. She had difficulty with the word problem, but it was not a routine problem and the solution was not at all obvious. However, we did find the correct solution. Her mother emailed a scanned copy of the test and that was most helpful! The student was a pleasure to work with."
"We reviewed the student's geometry homework on how to find out whether triangles are similar or not. We used this information to find missing side lengths and understand why the ratio of side lengths is important."