Math 12 PreCalculus
Version 01 (4 credits)
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It is recommended that students complete: PreCalculus 11.
View the complete Learning Outcomes for this course: PreCalculus Math 12 Integrated Resource Package
This course is suited for students who will continue their studies in math and science at a postsecondary institution.
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 stepbystep flash and video whiteboard solutions.
Unit 1: Transformations
 Lesson 1: Functions and Their Graphs, Domain and Range
 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: Finding the Coordinates of Ordered Pairs after Transformations
Unit 2: Graphing Radicals and Rationals
 Lesson 1: Transformations of Radical Functions
 Lesson 2: Square Root of a Function
 Lesson 3: Graphical Solutions to Radical Equations
 Lesson 4: Transformations of Rational Functions
 Lesson 5: Analysing Rational Functions
 Lesson 6: Equations and Graphs of Rational Functions
Unit 3: Polynomials
 Lesson 1: The Remainder Theorem
 Lesson 2: The Factor Theorem
 Lesson 3: Factoring Polynomials
 Lesson 4: Solving Polynomial Equations
 Lesson 5: Graphs of Polynomial Functions
Unit 4: Exponents and Logarithms
 Lesson 1: Review the Exponent Law
 Lesson 2: Solving Equations Involving Exponents
 Lesson 3: Defining a Logarithm and Logarithmic Restrictions
 Lesson 4: Law of Logarithms
 Lesson 5: Solving Exponential and Logarithmic Equations
 Lesson 6: Introduction to Exponential Functions
 Lesson 7: Applications of Exponential Functions Part I
 Lesson 8: Applications of Exponential Functions Part II
 Lesson 9: Graphs of Exponential Functions
 Lesson 10: Graphing Logarithmic Functions
Unit 5: Circular Functions
 Lesson 1: Radian Measure  Angles in Standard Position
 Lesson 2: Sine, Cosine and Tangent Functions of Angles in Standard Position
 Lesson 3: Sine, Cosine and Tangent 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: Sinusoidal Functions with Rational Periods
 Lesson 8: Applications of Sinusoidal Functions
 Lesson 9: Graphing the Tangent Function
 Lesson 10: Graphing the Trigonometric Reciprocal Functions (Enrichment)
Unit 6: Trigonometric Equations and Identities
 Lesson 1: Solving Trigonometric Equations using a Graphing Calculator
 Lesson 2: Solving Trigonometric Equations for Exact Values
 Lesson 3: Reciprocal and Pythagorean Identities
 Lesson 4: More Trigonometric Identities
 Lesson 5: Sum and Difference Identities
 Lesson 6: Double Angle Identities
Unit 7: 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 8: Function Notation and Operations
 Lesson 1: Function Notation
 Lesson 2: Sums and Difference of Functions
 Lesson 3: Products and Quotients of Functions
 Lesson 4: Compositions of Functions
Assessment:
First Assignment: 1 (5 %)
Assignments: 9 (25%)
Tests: 4 (70%)