Pre-Calculus 12

Grade Level
British Columbia

Course Overview

Pre-calculus 12 Course Overview

Formula Sheet


Functions and Their Graphs

Translating Graphs of Functions

Reflecting Graphs of Functions

Compressing and Expanding Graphs of Functions

Combining Transformations of Functions

Finding the Coordinates of Ordered Pairs

Transformations - Review Assignment

Graphing Radicals and Rationals

Graphing Rational Functions

Analysing Rational Functions

Equations and Graphs of Rational Functions

Transformations of Radical Functions

The Square Root Functions

Solving Radical Equations

Graphing Radicals and Rationals - Review Assignment


The Remainder Theorem

The Factor Theorem

Factoring Polynomials

Solving Polynomial Functions

Graphs of Polynomial Functions

Polynomials - Review Assignment

Exponents and Logarithms

Review The Laws of Exponents

Solving Equations Involving Exponents

Defining a Logarithm and Logarithmic Restrictions

Laws of Logarithms

Solving Exponential and Logarithmic Equations

Introduction to Exponential Functions

Applications of Exponential Functions Part I

Applications of Exponential Functions Part II

Graphs of Exponential Functions

Graphing Logarithmic Functions

Exponents and Logarithms - Review Assignment

Circular Functions

Radian Measure – Angles in Standard Position

Sine,Cosine and Tangent

Sine, Cosine and Tangent Functions of Special Angles

Graphing Sine and Cosine Functions

Transformations of Trigonometric Functions Part I

Transformations of Trigonometric Functions Part II

Sinusoidal Functions with Rational Periods

Applications of Sinusoidal Functions

Graphing the Tangent Function

Graphing the Trigonometric Reciprocal Functions

Trigonometric Functions - Review Assignment

Trigonometric Equations and Identities

Solving Trigonometric Equations with a Graphing Calculator

Solving Trigonometric Equations for Exact Values

Reciprocal and Pythagorean Identities

More Trigonometric Identities

Sum and Difference Identities

Double Angle Identities

Trigonometric Equations and Identities - Review Assignment


Introducing Conic Sections

Graphing Circles and Rectangular Hyperbolas

Expanding and Compressing Graphs of Conic Sections

Translating Graphs of Conic Sections

The Equation of a Conic Section in General Form

The Equation of a Conic Section in Standard Form

Conics - Review Assignment

Sequences and Series

Arithmetic Sequences

Arithmetic Series

Geometric Sequences

Geometric Series

Infinite Geometric Series

Sigma Notation

Sequences and Series - Review Assignment