Recent Tutoring Session Reviews
"The student & I reviewed a lesson on circles, tangents, and the Pythagorean theorem and then completed two sets of problems from her text. This was a very difficult assignment as the problems involved a great deal of concept application and in-depth critical thinking to solve. The student required scaffolding to solve several problems though she did quite well on several others, indicating that she is progressing in her problem strategy and solving skills. A skill for further focus will be better organization of her work as she progresses through the problems."
"We reviewed concepts of similar and congruent triangles: Sin, Cos, and Tan functions and how to identify them for any angle in a triangle. We reviewed homework problems. This led to a review of algebra, solving a system of equations, and basic operations. We discussed the slopes of lines and how to identify if lines intersect and if they are perpendicular. He is to begin an equation sheet and a "question" sheet that he will add to as new information is learned or a question comes up. We will review this next week."
"Today we worked on area and perimeter of polygons and composite plane shapes. She did really well with this. We also reviewed some of the quadrilateral geometry theorems and definitions, and she seems to be doing better with these as well."
"The student and I worked on a variety of lesson in geometry. Topics covered included triangle congruence proofs and distance between points and lines. The time today was productive and she seemed to make good progress."
"The student is up to speed with current material and has only needed the smallest of corrections/clarifications for her current chapter (volume of polygons/cylinders/cones), such as knowing what lateral area is and how to identify it. We continue to work through a finals review packet and have covered most concepts. This session we focused on similar triangles, medians, angle of elevation/depression. She has a good grasp of most topics, but needs to practice more with certain types of problems (circles with major/minor arcs, lines intersecting within a circle). I will prepare a document with more examples of these type for her next week."
"The student earned a 95% on her last test! Woohoo! She works so hard, and it is always so wonderful to see her efforts pay off! The probability unit was the last new material for the year. They are starting to review now for the semester final exam. We made a list of topics she's covered this semester, and targeted a few areas. We started with law of sines and cosines. She had done that in class, but we hadn't actually discussed it in any previous sessions. I had her write out a= , b= , c= , A= , B= , C= and then fill in what pieces of information were given. If ever we have both a side length and angle for a given letter, we can use law of sines (this includes if she's given side a and angles B and C since she can easily solve for A). Otherwise, it's a law of cosines problem. Computing from the actual formulas weren't a challenge for her, just knowing what formula to use. Then we moved on to some proofs about circles and quadrilaterals. For quadrilaterals, we really only worked on parallelogram proofs yesterday. We started with given opposite sides parallel and proved opposite angles congruent. I was so pleased that she came up with the proof all on her own! We then talked about how we could alter the proof to instead prove opposite sides congruent, consecutive angles supplementary, and diagonals bisect each other. We didn't get to proving specific qualities of a rhombus, rectangle, or square, but I think she has a good idea of where to start on those problems. She isn't sure when her math final will be since they are doing a two part final. One part will be next week, and the other part during their scheduled final exam time the following week. We'll be in touch to work out scheduling."