Precalculus - Kolbe Academy


This course is a one year course (10 credits) in high school Precalculus.  The Kolbe Core (OK) track is recommended for any student who has successfully completed Algebra II (K) or Algebra II/Trig (H). 

Topics covered:

Unit 1: Algebraic, Exponential, & Logarithmic Functions

  1. Functions & Mathematical Models
  2. Properties of Elementary Functions
  3. Polynomial & Rational Functions

Unit 3: Trigonometric & Periodic Functions

  1. Periodic Functions & Right Triangle Problems
  2. Applications of Trigonometric & Circular Functions
  3. Trigonometric Function Properties, Identities, & Parametric Functions
  4. Properties of Combined Sinusoids
  5. Triangle Trigonometry

Unit 2: Analytic Geometry

  1. Conic Sections & Quadratic Surfaces
  2. Polar Coordinates, Complex Numbers, & Moving Objects

Unit 4: Introduction to Discrete & Continuous Mathematics

  1. Probability & Functions of a Random Variable
  2. Sequences & Series

Students taking this course for Kolbe Core (K) credit are expected to complete daily assignments, periodic exams and quizzes.  Kolbe Honors (H) students will go into more depth and cover more material than the Kolbe Core (K) students.

Assignment due-dates and grades are established by the parent.  Optionally, a student may be enrolled in the Self-Paced Plus© grading assistance program to receive grading assistance from a Kolbe Academy faculty or staff member on designated assignments in the course.  In this case, parents will still submit final grades to Kolbe for the course, but may choose to incorporate the graded assignments into the student’s overall grade or use the Kolbe-graded assignments to assist in arriving at the student’s final grade.

  • Precalculus Course Plan & Tests – Digital copy provided with self-paced course.  (Optional physical copy is available for purchase in the Kolbe Bookstore.)
  • Precalculus: Concepts and Applications, Paul A. Foerster
  • Precalculus Home Study Companion  (Optional but recommended)

Order Books button

Other required material:

  • Graphing Calculator, TI-83 or TI-84

Self-Paced Plus courses include the following:

  • Grading by a highly qualified teacher for selected assignments (listed below) in the course.
  • Access to teacher through the course’s discussion board.
  • Option to report grade given by the teacher, or to report a grade assigned by parent.
  • The pacing is still established by the parent in conjunction with the student’s goals and academic calendar.
  • Assignments will be graded within 1-2 weeks of the submission date, excluding holiday breaks.  (For the quickest grading, students should turn assignments in incrementally throughout the year.  If a student turns in multiple assignments to be graded at once, expect a response time of 1-2 weeks per assignment submitted.)

Self-Paced Plus Assignment List:

Semester 1 Semester 2
Week 2: Chapter 1 Test Week 3: Chapter 8 Test
Week 4: Chapter 2 Test Week 5: Chapter 9 Test
Week 7: Chapter 4 Test Week 7: Chapter 10 Test
Week 9: Midterm 1 Exam Week 9: Midterm 2 Exam
Week 11: Chapter 5 Test Week 11: Chapter 11 Test
Week 14: Chapter 6 Test Week 15: Chapter 14 Test
Week 16: Chapter 7 Test Week 16: Chapter 15 Test
Week 18: Semester 1 Exam Week 18: Semester 2 Exam


Course Details:

Section Number


Grades (Typical)

 10 – 12 (11th, 12th)


Mrs. Copley

Lecture Format




Subscription Length

1 year

Extension may be granted for an additional fee.

Self-Paced Plus


Credits (Type)

 10 (Math)

Transcript Designation




Algebra 2

Self-Paced Companion Course


Online Companion Course



This course also offered at the
Kolbe Honors (H) level.

Course Plan Sample


Note: This course plan is built into the
Self-Paced course in a student-friendly format.