Recent Tutoring Session Reviews
"We worked on the student's homework involving factoring higher degree polynomials and real and complex roots. She got the hardest problems right, and she is very capable of doing the factoring and synthetic division required, so the few difficult problems in the middle shouldn't be much of a challenge."
"We worked on the student's homework on adding, subtracting, multiplying, and dividing fractions, and preparing him for his quiz -- on the same concepts. Fractions started off more straightforward, but became more complex, including polynomials in numerators and denominators, requiring factoring and simplifying. Numerators and denominators also included fractions, which required finding common denominators within the numerator. So, we worked on all those things -- factoring, finding common denominators, and adding and multiplying/dividing fractions -- including remembering how fraction division is done (first fraction x the reciprocal of 2nd fraction)."
"We worked on trigonometry problems from the student's homework. I also showed her how to use the calculator for the trig functions. I think going through the problems helped her understand the concepts including translating word problems into mathematical expressions."
"We worked problems involving trigonometric identities, including verifying identities and simplifying complex expressions using them. She is strong in this material, and with practice will become familiar enough with the identities that she notices them quickly."
"We worked through section 3.4 on logarithmic and exponential functions. The student has a quiz on sections 3.3 and 3.4 on Tuesday, so we went through the chapter examples and her homework together. To study for the quiz, she should do some practice questions from each section of both chapters and check her answers to make sure both the final answer and the steps to get there are correct. This chapter is less difficult than the previous chapter, so she should be in good shape for the quiz. We will continue to review for her test on Thursday."
"We worked through some graphing problems for the student's HPC. We did a lot of working with thought experiments of being able to look at an equation or graph and make guesses as to its characteristic (symmetry and shift and such) before working it out; the student was getting good at this. I think this is important because it helps to connect why things are symmetrical, or how the equations and graphs relate other than just through routine procedures of solving them. We also did work with completing the squares, and I showed her a systematic approach that will help to approach harder problems of this type and allow them to be broken into smaller parts."