Recent Tutoring Session Reviews
"The student and I reviewed transformations. We were able to construct transformations for dilations, translations, rotations, and reflections. In the beginning he felt a little uncomfortable with constructing rotations. After we practiced a few rotation transformations, he felt more comfortable with a new strategy that I taught him."
"The student and I worked on her homework on congruent triangles. We covered using SAS, ASA, and SAA to determine if triangles are congruent. We went over how the order of the letters matters. Having two adjacent sides without the angle between them doesn't make two triangles congruent. (SSA is not a congruency postulate.) We also did proofs involving congruent triangles. The student has a good intuition for geometry."
"I assisted the student with her geometry, which consisted of reflections and rotations. I created some problems, showed her the method of how to solve the problems, and gave her some practice problems for her to solve. She was having the most trouble with rotations. After giving her some practice problems, she improved greatly in figuring out how to arrive at the solutions."
"Today we talked about arc length and its relationship to chords, secants, and tangents. We then worked with a few theorems related to the measure of angles of intersecting lines through circles."
"Our main focus was solving problems involving chords, secants, and tangents in circles. We practiced about 30 problems using three circle rules: intersecting chords rule, secant-secant rule, and secant-tangent rule. Several of the problems involved multiple formulas to finally arrive at the final answer. I noticed that the student was able to solve many of the problems without looking at the formulas. Next, we dove into the next session dealing with the equation of a circle, (x-h)^2 + (y-k)^2 = r^2. This section was new for the student; he will start it with his class in school over the next few days. We were successful in navigating through the important notes about the formula, reviewing examples, and completing his next assignment using this formula. We completed about 20 of these problems. Many of the problems involved graphing the circle on a coordinate plane. Again, the student was up for even the most challenging questions, so it is fun working with him. Towards the end of the session, we spoke about some of his other classes. His father has made clear that together, we will stay on top of all of the student's grades in all his classes, so the student showed me his online gradebook. It is clear that he enjoys and excels in English. There is room for improvement in geometry, French, history, and chemistry. The student also enjoys his music technology class, but more grades are needed to accurately assess his progress. In our next tutoring session, we will be sure to review the big ideas we covered in our first two sessions and continue moving forward with all his subject areas, especially geometry, so that he can feel more and more confident in his classes. We will focus on helping the student improve his study skills for all his classes."
"We reviewed concepts relating to circles. We reviewed angle measures and arc measures. Then we reviewed tangent and secant lines and the properties associates with each. The student has a good understanding of these concepts, and the time was spent practicing to make sure he was applying correctly and reviewing any issues identified during practice."