Recent Tutoring Session Reviews
"Today we worked on new material from chapter 8, starting to prepare for an upcoming quiz that the student has. The first section dealt with the interior and exterior angles of convex polygons. Once we covered the material he had already done in class, we starting looking ahead to the other material that would be on the quiz. We looked at the special types of parallelograms: rhombuses, rectangles, and squares."
"We went over proportional triangles and how to use ratios to solve for each side. We talked about how to set up triangles from the picture given, particularly triangles with a bisector that creates two triangles. We also talked about study skills and that math requires doing a lot of practice problems. We also talked briefly about making time to study and having few distractions. I suggested she create some problems herself and then do them with friends and have the teacher check over them. Overall, the session went well."
"Today, we began by trying to go through some of the more difficult basic skills. We went through simplifying radicals, and using proportions to solve for side lengths in 45-45-90 and 30-60-90 triangles. Memorizing perfect squares will really help the student with simplification. We are also going to begin working on more basic multiplication skills."
"Today we continued our work on quadrilaterals, learning how to find the area when various pieces of information are missing. We also worked on deductive reasoning as applied to number of sides in polynomials. Student has a problem seeing patterns, we did the same problem three times in a row with different numbers, and all three times the student did not see that it was nearly identical in procedure to the previous problem. We reinforced the idea of writing everything down because the mistakes are more common when he does things in his head."
"The student is working on the properties quadrilaterals. She had been absent for the day over parallelograms, and needed some help going through the proofs in that section. A lot of it was helping her recognize how and when to use the theorems for parallel lines being cut by a transversal. Several proofs also used congruent triangles, and a couple times she needed help recognizing which two triangles to prove congruent in order to be able to prove the theorem about parallelograms that she was trying to prove. I was super impressed that she figured one proof out before I did! She is getting better at proofs all the time. We also went through a construction that she had not understood in class for constructing an isosceles trapezoid given the perimeter."
"The student's class has started covering trigonometric ratios and solving for 30-60-90 triangles. He has a good understanding of the theorems for right triangles but sometimes gets mixed up with values presented in word problems. Drawing out the sides and angles from work problems seems to help him work through the problem better. This session also seemed to help him with better understanding trigonometric ratios and how they can be used to solve for missing sides and angles. We worked through a couple practice problems, which seemed to help. It looks like he has a solid understanding of the current material."
"We focused on new sections she hadn't learned (Rhombi, squares, trapezoids, Coordinate proofs). She struggled mostly on coordinate proofs and needs to brush off on algebra. She understood everything pretty well and said the review helped a lot. I told her to write out everything clearly when doing algebra even if she thinks she can do it in her head. (e.g. parentheses when involving pos/neg signs). I told her to the problems in her textbook. No scores/grades to discuss. The session went well."
"The student has her chapter test next week over quadrilaterals, areas, and perimeters. She worked through the newer material first, which included facts about trapezoids and areas and perimeters of 2-D shapes. She did a great job with her formulas for area. Also, she was able to apply earlier concepts like trigonometry and special right triangles in order to help find the area and perimeter. It was great to see her retention of this from previous units! The only issue she really had was over setting up the midsegment formula for trapezoids, but she did better after we talked about it."
"We covered trig ratios, using trig to find angle and side measures of right triangles, and used trig to solve word problems. The student is doing great with the trig concepts and is not having any issues. He is working thru the word problems and getting them correct. He did many practice problems to prepare for the test he has tomorrow. I have no concerns that he has mastered these concepts."
"During this session the student and I went over proofs of parallelograms, rhumbi, rectangles, squares and trapezoidal on graphs using distance formula, slope formula, and midpoint formula overall this session went well. We also looked at some past material with angles and triangles."
"Today we reviewed trigonometry to review for the student's test. She was struggling a little bit with the difference between solving for an angle measurement and solving for a trigonometric ratio, but once we talked about it she understood the difference. I suggested working a few more examples similar to the hardest multi-step problem we worked but besides that she appeared to be confident with the material and prepared for her test."
"The student felt good about his rest from last week. Did not know his score yet though. We started looking at the next chapter covering right triangles and trigonometry. We did sample problems on triangles, Pythagorean theorem, and the tangent ratio. He didn't have any homework so we just did a bunch of practice problems."