Award-Winning Private Pre-Calculus Tutoring in Crest Hill, IL

The student has a test tomorrow, so we reviewed the material that will be on the test. The new topic that she will be quizzed on is limits, so we spent the majority of our session looking at limits and working through problems and examples. We then went over parametric equations again to handle some lingering issues with them. I left her with a particularly challenging parametric equation problem to try out when our session was over. She doesn't really struggle with things when they're explained to her appropriately. She remains very enthusiastic about our sessions. It's pretty rewarding for me when she becomes excited at having finally gotten the "aha" moment for a particular topic.

This time we covered a ton of trigonometry for the student's exam on Wednesday, rather than the usual chemistry we discuss. It was a very difficult practice test we went through and I made sure that she was on the same page as I before, after, and during each problem. This practice test thankfully used every conceivable algebra trick I could think of (difference of two squares, solving trig equations like quadratics, trig identities, evaluating functions where the independent variable is bounded or not, etc.) so I know she has at least seen them all now.

We went over logarithmic functions and exponential equations. We went over the rules of logarithms and properties of logarithmic functions. We also went over the change in exponential functions.

We covered vectors, including vector addition, subtraction, and transformation, both geometrically and algebraically. Overall, the student didn't struggle on the algebraic portions, but more so on the geometric portions. Explaining addition of vectors was a little challenging because she didn't understand how vectors were put together. However, after some example questions and diagrams, she was able to understand it very well. She didn't fully understand what it meant to describe a vector in component form, but after going through an example, she was able to do so pretty easily. Overall, she learned a lot from today's session, and should be better prepared when going to class tomorrow to learn more about vectors.

Tonight, I helped the student work through a study guide for an upcoming test in advanced algebra. She had a strong command of the concepts involved.

The student has a post-review exam coming soon, so we worked on completing his review packet and addressing all the skills and objectives in each outlined benchmark. He has improved tremendously since we started working together. I am proud of his newfound organizational skills and his dedication to practicing math problems outside of the classroom.