Principles of Mathematics 12 - Online


Version 05 (Online Only) (4 credits)


Provincial/Graduation Exam required for 1995 Grad Program; it is optional for 2004 Grad program.  Exam is worth 40% of final mark.   


It is recommended that students complete: - Principles of Math 11.


This course is suited for students who will continue their studies in math and science at a post-secondary institution.  It is designed to prepare students for the BC Provincial Exam in Principles of Math 12.


Students use headphones/speakers to hear narration and explanation while the material is presented online. Students have complete control over the pace at which they learn the lesson - lessons can be paused, resumed, and repeated using simple navigation buttons. Examples are interactive with ani­mated step-by-step flash and video whiteboard solutions.


Module 1

Unit 1: Transformations  

Lesson 1: Some Functions and Their Graphs

Lesson 2: Translating Graphs of Functions

Lesson 3: Reflecting Graphs of Functions

Lesson 4: Compressing and Expanding Graphs of Functions

Lesson 5: Combining Transformations of Functions

Lesson 6: Reciprocal Transformations of Functions

Lesson 7: The Absolute Value Function


Unit 2: Conics   (Omit for Sept. 07 on)

Lesson 1: Introducing Conic Sections

Lesson 2: Graphing Circles and Rectangular Hyperbolas

Lesson 3: Expanding and Compressing Graphs of Conic Sections

Lesson 4: Translating Graphs of Conic Sections

Lesson 5: The Equation of a Conic Section in General Form

Lesson 6: The Equation of a Conic Section in Standard Form


Module 1 Test covers the work of Module 1.


Module 2

Unit 3: Exponents and Logarithms/Geometric Series

Lesson 1: Review The Laws of Exponents

Lesson 2: Solving Equations Involving Exponents

Lesson 3: Defining a Logarithm

Lesson 4: Laws of Logarithms

Lesson 5: Solving Exponential and Logarithmic Equations Lesson

Lesson 6: Logarithmic Identities

Lesson 7: Introduction to Exponential Functions

Lesson 8: Applications of Exponential Functions Part I

Lesson 9: Applications of Exponential Functions Part II

Lesson 10: Graphs of Exponential Functions

Lesson 11: Geometric Sequences

Lesson 12: Geometric Series

Lesson 13: Infinite Geometric Series

Lesson 14: Sigma Notation

Lesson 15: Graphing Logarithmic Functions


Module 2 Test covers the work of Module 2.                                                                    


Module 3

Unit 4: Circular Functions

Lesson 1: Radian Measure—Angles in Standard Position

Lesson 2: Sine and Cosine Function of Angles in Standard Position Reference Angle

Lesson 3: Sine and Cosine Functions of Special Angles

Lesson 4: Graphing Sine and Cosine Functions

Lesson 5: Transformations of Trigonometric Functions Part I

Lesson 6: Transformations of Trigonometric Functions Part II

Lesson 7: Transformations of Trigonometric Functions Part III

Lesson 8: Modeling Real Situations using Trigonometric Functions

Lesson 9: The Tangent Function

Lesson 10: Graphing the Tangent Function

Lesson 11: Reciprocal Trigonometric Functions

Unit 5: Trigonometric Equations and Identities

Lesson 1: Solving Trigonometric Equations using a Graphing Calculator

Lesson 2: Solving Trigonometric Equations Without using a Graphing Calculator

Lesson 3: Trigonometric Identities Part I

Lesson 4: Trigonometric Identities Part II

Lesson 5: Sum and Difference Identities

Lesson 6: Double Angle Identities


Module 3 Test covers the work of Module 3.


Module 4

Unit 6: Permutations and Combinations

Lesson 1: The Fundamental Counting Principles

Lesson 2: Permutations Involving Different Objects

Lesson 3: Permutations Involving Identical Objects

Lesson 4: Combinations

Lesson 5: Pascal’s Triangle and the Binomial Theorem

Unit 7: Probability

Lesson 1: Probability Terminology and Notation

Lesson 2: Mutually Exclusive Events: The Event A or B

Lesson 3: Conditional Probability and The Event A and B

Lesson 4: Problems Involving Conditional Probability

Lesson 5: Problems Involving Permutations and


Lesson 6: Using the Binomial Theorem to Calculate Probabilities


Unit 8: Statistics    (Omit for Sept. 07 on)

Lesson 1: Descriptive Measures of Data in Statistics and Distributions

Lesson 2: Probability of Binomial and Normal Distributions

Lesson 3: The Standard Normal Distribution

Lesson 4: The Normal Approximation to the Binomial Distribution


Module 4 Test covers the work of Module 4.