Precalculus lessons during the school year are usually 1 hour once (or twice) a week from Monday to Thursday and 1.5 hours once or twice each weekend from Friday to Sunday. Some weekend lessons are longer if you are preparing for an exam for the following week. Primarily during the week, I will prepare you for the next lessons until I meet with you again. On the weekend, I prepare students for the upcoming week or for upcoming exams. Most students come to 2 or 3 lessons a week. When the math gets harder or as necessary, some students may come more often to lessons.

It is important to note that the college diagnostic math exam to place students into a college math class is precalculus based.

Lee Academics Precalculus prep course includes:

  • Up to 3 one-hour instructional lessons a week (some weeks may be up to 4 lessons as needed)
  • Many practice exams/materials from Lee Academics resources for your precalculus book – These are worked on before or after your instructional lesson. I will go over your mistakes.
  • Many strategies for doing precalculus problems faster, allowing more time to do hard precalculus problems on the test

Lee Academics Precalculus prep course will cover:

  • Current precalculus chapter/lessons at school during the week days
  • Work ahead to cover lessons within the chapter during the weekends or working on the next chapter after a chapter exam during the week.
  • Past math chapters during the weekends are necessary to understand the current chapter
  • Some precalculus concepts span many chapters. These concepts will be emphasized at lessons.
  • Finals prep of semester 2 material may include some semester 1 material as needed – Some precalculus teachers have a semester 2 final that is comprehensive of the entire precalculus book.
  • Geometry formulas as needed for homework and word problems

Precalculus topics that require mastery as foundational skills for calculus AB:

  • Many precalculus graphs – There are many graphs taught in a precalculus book and in the homework problems that
    will need to be memorized for calculus AB and BC. Graphing is an essential skill necessary for calculus AB and BC.
  • Logs properties and graphs
  • Exponential growth and decay, Pert
  • Domain and some range
  • Trig identities necessary for simplify and in preparation for integration
  • The unit circle and inverse trig
  • Rational functions- vertical and horizontal asymptotes, holes, especially graphing
  • Piecewise functions
  • Polynomial – graphs factoring (including special factoring formulas with Mamie’s strategies), zeros
  • Radicals graphs and solving
  • Graphing and solving system of equations – This skill is always needed the calculus AB and BC.
  • Limits

Precalculus topics that require mastery as foundational skills for calculus BC:

  • Polar and polar graphs – A deep understanding of polar is required for calculus BC. Many students have trouble with memorizing polar graphs.
  • Parametric equations/vectors
  • Sequences and series – Calculus BC series is very difficult. A thorough understanding of precalculus series is necessary.
  • Partial fraction decomposition
  • Absolute value inequalities – I teach this graphically as well as algebraically, a necessary skill for calculus BC.

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