 ## Math 12 Pre-Calculus

This course is in the process of being revised. It currently is not compatible with iOS and will not work on an iPhone or iPad

It is recommended that students complete:  Pre-Calculus 11.

View the complete Learning Outcomes for this course: Pre-Calculus Math 12 Integrated Resource Package

This course is suited for students who will continue their studies in math and science at a post-secondary 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 step-by-step 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: Sequences and Series

• Lesson 1:  Arithmetic Sequences
• Lesson 2:  Arithmetic Series
• Lesson 3:  Geometric Series
• Lesson 4:  Geometric Sequences
• Lesson 5:  Infinite Geometric Series
• Lesson 6:  Sigma Notation

### Assessment

 Practice Questions for each unit: 5% Send in Assignments (7 total): 35% Unit Quizzes: 10% Midterm exam: 20% Final exam: 30%