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Precalculus

This course is a one year course (10 credits) in high school Precalculus.

Course Description

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 Include:

Unit 1: Algebraic, Exponential, and Logarithmic Functions

  1. Functions and Mathematical Models
  2. Properties of Elementary Functions
  3. 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

Unit 4: Introduction to Discrete and Continuous Mathematics

  1. Probability, and Functions of a Random Variable
  2. Sequences and Series
Course Expectations

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.

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.)

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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. 

FoersterPreCalculusSample.pdf

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

SPM-PCALC

Grades (Typical)

 10 - 12 (11th, 12th)

Video Presenter

Mrs. Copley

Tuition

$499

Self-Paced Plus Grading Assistance
(Optional)

$200

Credits (Type)

 10 (Math)

Transcript Designation

 K

Prerequisites

 Geometry

Algebra 2

Self-Paced Companion Course

Physics

Online Companion Course

Physics

Notes

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

Course Screenshots: 

Click to see larger view.