Recent Tutoring Session Reviews
"Today, I taught the student about complex numbers with a negative discriminant and using the imaginary number in the equation. The key for him is to remember the formulas for the "i" numbers. Also, he has an exam tomorrow about the topics we covered last week (synthetic division and the real zeroes of a polynomial function), so we did extra practice to prepare him for the exam."
"During the last session with the student, we worked on integration with trigonometrical substitution. More practice should definitely help him internalize those concepts and help in recalling and applying them more easily."
"The student and I worked on area problems for rectangles and triangles. Additionally, I taught her how to calculate the area of a trapezoid as well as began the basic steps of "FOIL" with her. I drew various shapes and asked her what information she needed to find the area, requiring her to split the shape into multiple different shapes that we'd worked with today. She likes a challenge when it comes to math."
"We covered chapter 10 in the student's algebra book, specifically looking at sections 2 and 5. These sections dealt with polynomial inequalities and reducing complex polynomial fractions, sometimes with inequalities. We did the example problems together and then the student completed a couple of the homework problems on her own with me checking her work. We also reviewed her chapter 9 test."
"The student and I covered several math functions and solved many examples regarding their application to finding approximate values to functions. We will meet again tomorrow to work on additional problems."
"The student and I focused primarily on imaginary numbers today, a subject she mentioned she had been struggling to understand after her teacher went over the topic. We started with basic imaginary number problems and worked up to problems involving conjugates. I left her with possible practice problems for her to work on her own."
"We went over a review for the student's test, it covered applications of derivatives and a little of integration. The student did really well, he struggled a little bit with knowing how to approach the problems but after seeing what was being asked he did well. I left him with a few similar problems to do from his review."
"For algebra, we reviewed polynomial equations expressing the relationship between allele frequency of sickle cell anemia and its relationship to immunity from malaria. We expressed these equations as a function of malaria mortality and demonstrated how the change in mortality of malaria affects the concentration of alleles for sickle cell anemia. In chemistry, we discussed inter-molecular forces including h-bonding, dipole-dipole, dipole-induced dipole, and dispersion forces. We predicted the comparative strength of inter-molecular forces in various examples."
"Today we covered risk differences, relative risks, odds ratios, finding chi-squared and Z values, and hypothesis testing. The main areas to work on are deciphering the wording of null hypotheses and rejection of null hypotheses."
"We met for another session of Algebra 2. In this session we practiced various types of interest formulas. These included simple interest, simple decay, compound interest, and continuous compound interest. He did pretty well. I feel like he has a strong grasp of the concepts and should do well on his upcoming unit test."
"We reviewed for a midterm, going over factoring and formulas for factoring differences of squares and differences and sums of cubes. We also graphed polynomial functions and discussed how to determine the multiplicity of solutions."
"We went over some questions on the application of integrals in preparation for her exam. We did questions that used integration to determine the amount of work done when lifting a bucket of water or pumping a fluid out of a container."