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Honors Precalculus

This course is a one year course (10 credits) in high school Precalculus. The honors track, although up to the parent's discretion, is aimed for students who have shown aptitude toward mathematics in their Geometry and Algebra II courses, or who have successfully completed the honors Algebra II/Trig course.

Course Description

All students pursuing honors should expect to find the content and pace of the coursework challenging and should be sure to allot extra time for their studies. The Kolbe Honors (OH) course is recommended for students who have achieved one of the following: a "B" or better in Algebra II/Trig (H) or an "A" in Algebra II (K). All students pursuing honors should expect to find the content and pace of the coursework challenging and should be sure to allot extra time for their studies. The Kolbe Core (OK) Precalculus course is recommended for any student who has successfully completed Algebra II (K) or Algebra II/Trig (H).

Topics covered are as follows:

Unit 1: Algebraic, Exponential, and Logarithmic Functions

  1. Functions and Mathematical Models
  2. Properties of Elementary Functions
  3. Fitting Functions to Data 
  4. Polynomial and Rational Functions

Unit 2: Trigonometric and Periodic Functions

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

Unit 2:  Analytic Geometry

  1. Conic Sections and Quadratic Surfaces
  2. Polar Coordinates, Complex Numbers, and Moving Objects
  3. Three Dimensional Vectors 

Unit 4: Introduction to Discrete and Continuous Mathematics

  1. Probability, and Functions of a Random Variable
  2. Sequences and Series
  3. Introduction to Limits, Derivatives, and Integrals 
Course Expectations

Students taking this course for Kolbe Honors (OH) credit are expected to complete daily assignments, participate in class, and complete periodic exams and quizzes as assigned by their parent.  Kolbe Honors (OH) students will go into more depth and cover more material than the Kolbe Core (OK) students. All requirements are assigned and graded by the parent.

All requirements are assigned and graded by the parent - Enhanced Evaluation Service is available for additional grading assistance.

Course Texts & Materials
  • Precalculus: Concepts and Applications, Paul A. Foerster
  • Home Study Companion for Precalculus: Concepts and Applications, Math Without Borders (This course companion is optional, but recommended. It is listed under the Precalculus "Optional Material" section in the Kolbe Bookstore.)



Other required material:

  • Graphing Calculator, TI-83 or TI-84
Course Plan Sample

Note that this is the digital version of the homeschool course plan, which is found in the course's associated Parent Group.  This course plan is built into the Schoology course for the student. 


Course Details:

NOTE:  This self-paced course will be available in its new format by August 22, 2017.  It is still available in it's original format.  If you are interested in the original version, please call Kolbe at 707-255-6499 to inquire.  

Should you purchase the original and want to update to the new course, you can do so by paying the remaining difference in price for the new version.

Section Number


Grades (Typical)

 10 - 12 (11th, 12th)

Video Presenter

Mrs. Copley



Honors Fee


Self-Paced Plus Grading Assistance


Credits (Type)

 10 (Math)

Transcript Designation



Algebra 2

Companion Course



This course also offered at the
Kolbe Core (K) level.

Course Screenshots: 

Click to see larger view.