Recent Tutoring Session Reviews
"We went over basic triangle properties (Pythagorean theorem). We defined sine, cosine and tangent and did some problems using the formulas. We also looked at the unit circle and determined radian units for angles. We started finding the cos and sin of standard angles (0, 90,180 degrees). We discussed the coordinate system using degree/minute/second. I left the student some problems to review concepts we went over. Next time we will do coordinate problems and get into cos and sin of more standard angles on the unit circle, and into more properties concerning these."
"We looked at the rise of Carnegie (steel/commercial cannibal monopoly), Rockefeller (oil/oligarchical trust), and Vanderbilt (rails/with the use of universal gauges gains monopoly). We then discussed labor conditions, unions, safety regulation, workweek reduction. We covered the Pullman train car, industrialization, steam power, and assembly lines. We then discussed legislation such as the Sherman Antitrust Act. We looked at the oil, steel, and rail magnates become philanthropists late in life. Then we returned to the take home trig exam. We did not make it to Chemistry (Ideal Gas Law) or the new English passage on The Great Depression. Those will come Tuesday. We explored the half angle, double angle, summation and different trigonometric identities. Much of this will need to be noted and reviewed. We also applied new identities to 30-60-90 and 45-45-90 sine, cosine, and tangent values for the unit circle in radians. Further, we explored Pythagorean values for non-ideal cases. Many of the questions needed to be simplified before identities could be applied. The student must mature in his mathematical fluency and review previous chapters so that individual techniques, laws, and identities can be used comfortably in tandem."
"Today we started with the basics of trigonometry. From trig functions of simple angles, to setting a calculator to a degree/rad mode. Our exercises involved creating right triangles inside obtuse and acute triangles to be able to figure out either angles or their trig functions. The student was upbeat about her practice and was easily solving the problems."
"The student and I went over exponential and logarithmic form, the properties (rules) of logarithms, and the change of base formula. We also covered writing roots as exponents and some special properties of exponents. We worked through her homework problems and extra problems including applications of logarithms. She felt that she really understood how logarithms work after the session."
"The student and I met on Friday to get some final touches on her assessment practice. She is having some trouble with simplifying equations. I had given her a practice STAAR test. She worked on it for 30 minutes and we walked through the problems for the remaining 30 minutes. She did well but made 2 simple mistakes that I helped her correct."
"The student worked on addition and subtraction problems I made out for her. Then she worked on her math homework and I reviewed her work."