Recent Tutoring Session Reviews
"The student's geometry final is tomorrow so we did some final review. I am definitely seeing major improvement (plotting coordinates and complex angles) and asking the student to explain his work and reasoning seems to really help. I am confident the student will do well on his final."
"Today's session went really well. We started working on new material from chapter 6 in his book which is an accumulation of chapter 1-5 so far. He is picking up on it quickly. No new struggles at this time. Today he had a good attitude towards doing his homework. I focused on trying to get the student to think about the material and getting him to use what he already knows to figure out the work. No extra work for the student at this time. No new scores at this time. No new concerns at this time, but I feel that he is taking a little more interest in his work, but he still has a long way to go."
"The student and I covered congruent triangles, how to prove the case, and using the 4 postulates to speculate about congruent triangles (SSS, SAS, ASA, AAS). We also revisited finding both the area and perimeters of triangles when given different initial variables."
"The student and I spent the entire session prepping for her geometry exam. She seemed very confident and it was clear she knew the material. I prepared some practice questions similar to her quiz and I worked with her to slow down and plan out what she wanted to do before she started to work on the problem. I also explained that many problems in trigonometry will have more than one way to solve it. I showed her all the different tools she could use (angle sums, python. theorem, trig ratios etc.). By the end I could tell she felt confident about the test tomorrow."
"I assisted the student with her geometry homework, which consisted of two sheets on proportions in triangles and other polygons. She had to set up proportions to solve for missing lengths. After I gave her an overview of how to set up proportions, she did a great job of setting up the proportions on her own. I went over how to do long division properly with her. I also double-checked all of her answers."
"We continued to cover 45-45-90 and 30-60-90 triangles. The student is significantly faster at completing the problems than yesterday! She still struggles sometimes with determining what type of triangle it is to tell what pattern to use, as well as when it becomes necessary to use the Pythagorean Theorem. She is going to complete additional worksheets on her own, as well as try to complete simplifying radicals to make sure that she is able to do them on the quiz tomorrow."
"The student and I worked on his homework assignment today. We went over similar triangles. The rule of sines when finding a side on a triangle. And we also worked on solving quadratic equations along with system of linear equations"
"The student received an A on her last test!! We worked on some problems dealing with special right triangles i.e.. 45-45-90 and 30-60-90. She understands the relationships of the sides and how to find them. We then looked forward to the next section and started discussing trig functions."
"The student and I worked on surface area and volumes of complex shapes. Our first example was a cone on top of a cylinder, then a pyramid on top of a rectangular prism, then two cones joining at the tip. By the end she was understanding the material."
"We continued with work involving proportions that exist within a triangle. We also worked on geometric mean relations within the triangle given an altitude to the hypotenuse. I gave the student a practice test to work on to help her prepare for a quiz on Friday."
"The student had some homework from a new chapter focusing on radical expressions, the quadratic formula, the Pythagorean Theorem, how it can be proved in a right triangle, and its consequences and uses in other triangles. We worked on simplifying radical expressions and discussed why sqrt(5^2 + 12^2) is completely different from sqrt (5^2)+sqrt(12^2), after having solved this expression both ways. We worked problems where it was necessary to solve for sides of pieces of a triangle by utilizing the Pythagorean Theorem and a few of its forms. There were also expressions that needed to be manipulated into quadratic form, yet could not be factored, but set equal to zero, and were therefore able to be solved using the quadratic formula."
"In this lesson we worked on calculating the geometric means of triangles. The student had derived the formulas with her teacher during class, but she did not know how to apply them to complete her homework. We went over this during the session and did several practice problems together. Then I had the student work on her own to see if she had understood how to properly label the sides of the triangle and use the geometric mean formulas. I did notice her improvement throughout the lesson."