Pre-Calculus

This course emphasizes the algebra of functions including polynomial, rational, exponential, and logarithmic functions. The course also covers systems of equations and inequalities, quadratic inequalities, and the binomial theorem. Additional topics may include matrices, Cramer's Rule, and mathematical induction.

This course also includes the study of trigonometric (circular functions) and inverse trigonometric functions, and includes extensive work with trigonometric identities and trigonometric equations. the course also covers vectors, complex numbers, DeMoiver's Theorem, and polar coordinates. additional topics may include conic sections, sequences, and using matrices to solve linear systems.

Pre-requisite course in general for all core mathematics courses in high school with a minimum Algebra 1, Geometry, and Algebra II with an appropriate mathematics placement score. An Alternative to this is that the student should successfully pass with Intermediate Algebra.

00 - Pilot

Pre-requisites: Successful completion of learning Algebra II and Geometry or the equivalent.
Course Format: Individually
Course Length: 18 weeks
Course Code: PR-Ca

Textbook:

Pre-Calculus with Limits, Larson

Materials Needed:

A5 notebook paper for your personal notes and assign homework,

graph paper,

ruler,

pencil,

Graphing Calculator, such as TI-83 or TI-84plus


Course Descriptions:
The pre-Calculus course is designed to prepare learners for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the variety of functions that are important to the study of calculus.
This is a full-length online learning Pre-Calculus course for passionate learners. In this course, learners will extend topics introduced in Algebra II, Geometry, and learn to manipulate and apply more advanced functions and algorithms. This course provided a mathematically sound foundation for students who intend to study Calculus.
Learning course material, such as PowerPoint of lecture notes, Interactive Webpages, and practice problems with solutions and/or discussion, are provided for learners, throughout the designated platform. Learners progress through the course at their own pace and are expected to review, mak
e notes, review notes regularly, and making a recording of concept understanding.
Each learner can contact their instructor via email with any questions and/or concerns at any time. Online review sessions can be scheduled as well to prepare for the graded assessments, which include homework, chapter exams, a cumulative mid-term, and final assignment revision.
Instructors use virtual classrooms, allowing text, assigned text
, voice, screen sharing, and whiteboard interaction. Learners are strongly to work on the course at least 30 minutes a day, 5 days a week (for 18 weeks enrollment), and email their instructors at least once per week.


Topics Included:

    1. Relations and Functions:

    2. Function Basic

    3. Working with Function

    4. Function Domain and Range

    5. Equations of a Line

    6. Graphing Functions

    7. Quadratic Functions: the vertex

    8. Manipulating Graphs: Shifts and Stretches

    9. Manipulating Graphs: Symmetry and Reflections

    10. Composite Functions

    11. Circles

    12. Functions

    13. Special Topics: Systems of Equations and Matrices, and Limits