Recent Tutoring Session Reviews
"We worked through the student's 9.4 Practice as well as his Unit 9 Quest Review. He was particularly confident with questions of angle size and sectional area, although he did make a couple errors in trying to move too fast. However, he found it difficult to apply concepts in unusual settings, e.g., a question where four semicircles originating from the vertices of a square intersect in its center. This question involved applying the same concepts of sectional areas, but he did not immediately see how it applied. I gave him tiny pushes in the right direction, and he eventually noticed the relationship and quickly solved the problem from there. Questions of translating and dilating circles were trivially easy for him. Still, he knew exactly what he was supposed to be doing. Conversion between radians and degrees was also trivial for him."
"We covered geometry, specifically, the area of circles, sectors, and triangles. The student has a strong grasp on the material and only needed clarification on some of the definitions. He became more comfortable with recognizing and using the properties of special triangles. We also covered a chemistry lesson dealing with stoichiometry and limiting reagents."
"Today was all about trig. We spent a little while going over the origami proof of the Pythagorean theorem. Then we went over how to set up trig functions to solve for unknowns and how to apply inverse trig functions. Student has a test next week, so we did a lot of review problems, mostly word problems, and worked on how to set them up. I gave her my process for solving math problems: 1. read the question and understand it, 2. write down everything the problem gives you, 3. write down formulas involving the information given, 4. move stuff around and plug in until something interesting happens. That seemed to help a lot."
"The student and I went over the problems for his homework due Friday. He was very confident in his abilities and seems to know this aspect of geometry better than previous chapters. The student has a very intuitive understanding of Geometry."
"The student and I focused only on Geometry for this lesson. She had missed a class in school, and consequently was having trouble understanding and keeping up with the current material. We started out working with the Right Triangle Altitude Theorem. She was initially having trouble grasping how the triangles were related and where the equations associated with the theorem come from. I showed her how the proportions are set up with regards to similar triangles. The other main topic we discussed was how the distance formula is simply a manipulated version of the Pythagorean Theorem. Lastly, we covered the association between arc and interior angles. Overall, the student seems to have a better handle on the material."
"The student took her Geometry test and said she felt pretty good about it. Today we worked on her Algebra II homework. She's working on rational exponents so we covered the different exponent rules and went over her homework problems. The student had a good understanding so I also introduced dividing by like bases and gave her some more advanced problems that applied the skills she's been covering. She did an excellent job working through the problems and applying the new material, even on the advanced questions. We will continue to meet and change our tutoring focus to homework support, particularly Algebra II and English."