Award-Winning Pre-Calculus Tutors serving Cambridge

We reviewed chapters 1-4 problems in anticipation for the upcoming exam. We covered the topics involving demand/supply functions and graphing techniques. Progress was made in setting up the word problems and then solving.

We spent most of the session reviewing the student's current pre-calc session, which deals with graphing trigonometric functions. We started talking about vertical and horizontal shifts of trig functions, vertical stretches, and horizontal stretches (changes in period of the function). We spent time discussing how to graph more complex trig functions (such as cosecant and secant) and how to correctly pick out points to plot these functions with. From there we discussed reference angles then rotational motion, and did some practice problems that related angular velocity to linear velocity. Lastly we touched on her physics homework, dealing with free-body diagrams and forces.

Today we studied compositions of functions. We talked about their relevance in terms of physics and computer science, looked at mapping diagrams to understand their domains and ranges, and we worked some word problems that also involved dimensional analysis. He showed considerable progress near the end of the session.

Today we went over rational vs. irrational numbers, degree of an absolute value function, continuity requirements of a function, translational properties, and polynomial shape behavior. The student had to prepare for his Chapter 2 exam on rational zeroes theorem and complex conjugates. He learned the discriminant of a quadratic equation, the absolute value of a complex number, and the distance between complex numbers.

The student had a quiz prior to our session and she was much happier with the results. We worked through more analytical geometry and she was able to finish all of her homework and questions from the chapter.

The student received a 95, 100, and 90 on most recent tests and quizzes. We worked on evaluation trig identities with sum and difference of angles and exact values. Completed at least 20 problems for quiz preparation. We also reviewed a few test corrections to prepare for final exams. The student is making great progress and is setting goals to achieve an A in the course.