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**

- Functions and Mathematical Models
- Properties of Elementary Functions
- Fitting Functions to Data
- Polynomial and Rational Functions

**Unit 2: Trigonometric and Periodic Functions**

- Periodic Functions and Right Triangle Problems
- Applications of Trigonometric and Circular Functions
- Trigonometric Function Properties, Identities, and Parametric Functions
- Properties of Combined Sinusoids
- Triangle Trigonometry

**Unit 2: Analytic Geometry**

- Conic Sections and Quadratic Surfaces
- Polar Coordinates, Complex Numbers, and Moving Objects
- Three Dimensional Vectors

**Unit 4: Introduction to Discrete and Continuous Mathematics**

- Probability, and Functions of a Random Variable
- Sequences and Series
- Introduction to Limits, Derivatives, and Integrals

**Prerequisites:**

- Algebra 2 with a first semester grade of A OR Honors Algebra 2/Trig with a first semester grade of B or above OR a teacher recommendation
- Geometry or Honors Geometry

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 instructor. 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 instructor.