Recent Tutoring Session Reviews
"Tonight I meet with both students to tutor them both at the same time, in geometry. Specifically, we covered similarity. I gave them some useful practices in setting up the congruency equations, by sticking to matching parts, and another trick for quickly finding the missing value in a proportion (the value wanted equals the product of the two other numbers, divided by the diagonal value) and an advanced trick to isolate an unknown by moving the other values across the equal sign (instead of cancelling). Both students got the lesson and were able to demonstrate the method on problems in the book."
"Today we finished going over Chapter 8 (areas of polygons) in preparation for the student's test tomorrow. We finished sections 8.5-8.7 together. These are the more complicated sections of the chapter on areas of parallelograms, trapezoids, and circles. This chapter was more challenging for the student than prior chapters, and he has not devoted as much time on this chapter as prior chapters. At the end of the session I had him compile notes of all the different formulas he will be using on his test because he has not been following through with making notes on his own. Tomorrow morning he will complete a practice test as final preparation to make sure he is clear on all the information."
"The student's SMATH (science + math) class just began work on finding volumes and surface areas of 3D-shapes. We worked through an assignment she had that involved finding and drawing "compound shapes," which are shapes made up of more than one 3D shape. She would find the surface area often by using a formula and then manipulating the findings in some way, such as subtracting another area or dividing it in two. She seems to enjoy the more creative parts -- for instance, she plans to create a castle for her cycle project, involving many 3D shapes (cones, cylinders, rectangular prisms)."
"The student has a midterm in a couple weeks, so his homework was mainly focused on preparing for that. We did a lot of constructions and similar triangle problems. One thing I told him about was isolating parallel lines and their transversals so you can really understand which angles are congruent/ supplementary. We also went over the triangle center terms, which he has trouble remembering (orthocenter, circumcenter, centroid, and incenter). I'll quiz him on them next time."
"We covered DNA replication (process, structure, enzymes related, etc. ) and Pythagorean theorem (triples, circles). The student is doing well and grasps concepts quickly. We did practice problems on both topics."
"The student completed his assignment over graphing rational functions. We also worked some inverse function problems and discussed how functions and their inverses interact with each other."