logo Continuing Education -- School District No. 72(Campbell River)  

General Information
Course Information
Staff
Students
Other Services
Links

Principles of Math 12  

Course Description

Principles of Math 12 is an advanced course in the principles of algebra and trigonometry suitable for preparing students to write the Mathematics 12 Government Exam. Students pursuing a Regular Dogwood Graduation Diploma MUST write the government exam. Students pursuing an Adult Dogwood Graduation Diploma need not write the government exam but are encouraged to do so.

The most recent set of problems supplied by the BC Government Curriculum Branch are incorporated into the hand-in assignments and are an integral part of the course.

This course is suitable for those individuals requiring a Grade 12 credit for graduation and/or wishing to take technical, science, or computer courses at regional colleges, BCIT, or university.



Course Pre-requisites

Principles of Mathematics 11



Course Breakdown

Unit One: Trigonometry Based on the Unit Circle

  • The Unit Circle and Radian Measure
  • Definition of and Graphs of the Six Trigonometric Functions
  • Graphing Techniques (Translation, Rotation, and Dilation) Applied to the Six Trigonometric Funcitons
  • Introduction to the Trigonometric Identities and their Use in Proofs
  • Conditional Trigonometric Equations
Unit Two: Application of the Distance and Midpoint Formulas to Develop the Equations of Conic Sections as an Illustration of the Concept of Locus of Points
  • The Distance Formula, the Midpoint Formula, Development of the Circle as a Locus of Points
  • Continued Development of the Circle
  • Development of the Parabola, Ellipse, and Hyperbola as the Locus of Points on a Coordinate Plane
  • Solving Systems of Equations and Inequalities with Emphasis on the above Conic Sections and Linear Equations
  • Graphing Quadratic Inequalities
Unit Three: The concept of Inverse Applied to Exponential and Logarithmic Functions
  • Problem Solving Using Written Sentences
  • Rate Problems
  • Maximum Minimum Problems
  • Introduction to Exponential Function
  • Review the Laws of Exponents
  • Graphing Exponential Functions
  • The Inverse of a Function
  • Common Logarithms
  • The Laws of Logarithms
  • Logarithmic Functions
  • Changing from Logarithmic to Exponential Form and Vice Versa
  • Changing the Base of a Logarithm
Unit Four: Polynomial Functions
  • Remainder Theorem
  • Factor Theorem
  • Integrated Root Theorem
  • Rational Root Theorem
  • Graphs of Polynomial Functions
Unit Five: Strategies for Writing Geometric Proofs
  • Review of Circle Properties from Math 11
  • Proofs Using Overlapping Figures and Auxiliary Lines
Unit Six: Sequences and Series
  • Arithmetic Sequences and Series
  • Geometric Sequences and Series
  • Applications and Problems of Geometric Series


Assignments

Hand-in assignments of course content count for 40% of the mark. Cumulative unit tests are another 40%. The final exam counts for 20% of the final school mark**.

*Note: Students may rewrite any unit test. The rewrite will not be cumulative but will test only the last unit studied.

**Note: If a student is going to write the Provincial Exam, a school mark will be forwarded two weeks prior to the exam date. This school mark will count as 60% of the final mark. The Government Exam therefore accounts for 40%.



Textbooks and Course Materials

Students must have access to a graphing calculator throughout the course. Students must become comfortable with the use of this calculator to use as a problem solving tool. Although students may use a graphing calculator of their choice, instructors at Continuing Ed will give instruction on and have materials to support learning the TI83 calculator.


Back to Courses Offered Try it Out!