Recent Tutoring Session Reviews
"During this first session, we worked on homework exercises the student had challenges answering on her own. She seems to understand the concepts of derivatives and integrals in general and simply needs some help figuring out what method to use when solving derivatives and integrals. This is normal among calculus students. I suggested that she go over more practice problems to help her identify what method works best for any particular problem. Also, reviewing the trigonometric functions and identities will benefit her greatly."
"The student was having trouble understanding how to multiply and divide fractions. I showed her that when dividing fractions you multiply by the reciprocal of that fraction and then treat the problem as if it were a multiplication problem by multiplying the numerators and denominators. She has a test next week on this subject, so we went over a quiz. We also discussed "PEMDAS" and what to do when using the order of operations. Finally, we worked on understanding the properties of addition and subtraction, namely associative, communicative, and additive inverse. We briefly discussed percentages."
"Reviewed the student's homework with her and started going over the math her school expected her to know when going into 5th grade. Her homework and current math were fine, but she had a fair bit of difficulty with the fractions portion of her expected math knowledge. We worked on multiplying/dividing/adding fractions, as well as the conversion between fractions, decimals, and percentages. This will warrant a lot more further work, and I assigned her some flashcards to help her."
"We covered the material that is going to be on the student's quiz tomorrow - relative extrema, first derivative test, second derivative test, and concavity. She was very competent with the work given to her."
"The student and I spent this session working on a concept from her Geometry class that she was finding challenging: rotational symmetry. In particular, we explored the order and degree of rotationally symmetrical objects, as well as the relationship between their order and degree of symmetry, and discussed how rotational symmetry differs from relectional symmetry. The student picked up on the logic of these concepts quite well, and by the end of our work together, she was able to correctly anticipate the order and degree of rotational symmetry of a number of figures."
"The student and I went over factorization and division of polynomials. I explained the Rational Root Theorem to him and showed how it can be used with synthetic division to quickly find the roots and factors of any polynomial. We also went over the vertex-intercept form of a quadratic equation. The rational root theorem seemed to be a bit much for him (which is understandable) but he quickly mastered synthetic division."
"The student showed me that he was able to apply the methods that I had taught him in our previous session. This assured me that it would be possible to teach him some of the materials that will be covered in the following few classes. For our next session, I will look for ways to challenge him even more, as long as he continues to show me that he is not overwhelmed."
"Today the student and I went over point slope form and converting it to slope-intercept form. We also worked on graphing absolute value equations, comparing them with other absolute value equations and completed his homework for the week. We went on to cover absolute value inequalities and how to use the closed interval form when defining ranges."
"We went through trigonometric integration and partial fraction expansion. She will review what we did on the last session as practice."
"I helped the student with her math homework that consisted of 20 subtraction problems which practiced the borrowing strategy. After that, I had her read a comprehension story about fall and then she answered fact/opinion questions."
"We went over the exam to correct the missed questions. Afterwards we talked about the distributive property and worked on problems dealing with this. We then combined this concept with previously learned concepts."
"We covered straight angles, complementary, and supplementary angles. We also did vertical angles, parallel lines, and similar triangles. The student grasped the subject well. No assignments were left."