Pre-Calculus 40S

Grade Level

Course Overview

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

Trigonometric 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 Il

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

Permutations and Combinations

The Fundamental Counting Principle

Permutations Involving Different Objects

Permutations Involving Identical Objects


Pascal’s Triangle and the Binomial Theorem

Permutations and Combinations - Review Assignment

Function Notation and Operations

Function Notation

Sums and Difference of Functions

Products and Quotients of Functions

Composition of Functions

Function Notation and Operations - Review Assignment