Recent Tutoring Session Reviews
"In this session, I introduced the student to reciprocals and she practiced finding the reciprocals of given fractions. We discussed how the slope of perpendicular lines are opposite reciprocals of one another and that the slope of two parallel lines are equal. She then practiced using these relationships in word problems. The student's understanding of lines has increased significantly."
"Today we worked through some worksheets on special triangles, solving for unknown side lengths. The student is applying concepts we learned earlier very well and almost always comes to the correct answer on her first try. It's great to see her learning so quickly and retaining from previous sessions."
"We covered similarity transformations in triangles today. After reviewing some of the problems the student had from class, I made up some more and had her solve them in preparation for her exam tomorrow. It is a good idea for her to write down and highlight commonly made mistakes so that she knows to look out for them when approaching new problems/test questions."
"At this session, we dove into the textbook and worked on "Challenge" problems in various chapters. Some of these were quite complex and required a high level of creative thinking to solve. They involved making polygons of different shapes by passing a plane through a cube; the similarity of triangles inscribed in other triangles; how to create a hole in a square rod that allows a rod of the same size to pass through it; and two problems that remain unsolved to us, a hexagonal problem in which we were required to find the size of a particular segment of a bisecting line; and finding a way, with only a straightedge, to draw a line, through a given point, that is parallel to another line. Both of us are going to work on these problems at home in hopes of solving them next session. Practice with these difficult concepts will help him with test problems, which are typically more difficult than those in the book. At the next session a week from today, school will have started again and we will go back to worksheets and test prep. He was enthusiastic and clever in his work throughout today's lesson, and he's shown a lot of improvement in geometric problem-solving already in the short time we have been working together. I'm optimistic that with more hard work he'll do well on his upcoming exams. It would be advisable for him to transfer his papers to his new binder before school starts again."
"We started reviewing Algebra concepts that he has some weaknesses on, like analyzing box and whisker plots, interquartile range, determining a relation (whether a function or not), x-int and y-int points. We utilized his Algebra packet and some practice I brought. After that, he felt confident on those topics. Then we moved to Geometry, which was an online assignment. He needed to complete 20 questions. It was mixed geometry problems. We reviewed the problems together. This way he had an opportunity to review the Geometry topics he has learned."
"This session we came close to finishing the eighth module-- volume and density-- and got through the first of two tests on the module. We also started one of the projects in the module-- the one about the aquatic facility. The student has a good grasp on this material. We will likely finish up module eight tomorrow or Thursday."