 ## Math 11 – Pre-Calculus

Ministry code: PREC 11

It is recommended that students take Math 10: Foundations and Pre-Calculus prior to enrolling in this course.

View the complete Learning Standards for this course here:   Pre-Calculus Math 11

This course is designed to provide students with developing the mathematical understandings and competencies identified for entry into post-secondary programs that require the study of theoretical calculus. Course content includes radicals, polynomials, quadratic functions and trigonometry.

### MODULE 1

Unit 1: Powers, Radicals, and Real Numbers

• Lesson 1: Review the Exponent Laws
• Lesson 2: Rational Exponents
• Lesson 6: Dividing and Rationalising Radicals
• Lesson 7: Solving Radical Equations

Unit 2: Factoring Polynomials

• Lesson 1: Common Factors
• Lesson 2: Factoring Simple Trinomials
• Lesson 3: Factoring Messy Trinomials
• Lesson 4: Difference of Squares and Perfect Trinomial Squares
• Lesson 5: Factoring by Substitution and Grouping

Unit 1 Send in Assignment
Unit 2 Send in Assignment
Module 1 Test

### MODULE 2

Unit 3: Rational Expressions

• Lesson 1: Rational Expressions and Non-Permissible Values
• Lesson 2: Simplifying Rational Expressions
• Lesson 3: Multiplying and Dividing Rational Expressions
• Lesson 4: Adding and Subtracting Rational Expressions
• Lesson 5: Solving Rational Equations
• Lesson 6: Solving Problems Involving Rational Expressions

• Lesson 1: Quadratic Functions – Translations
• Lesson 2: Quadratic Functions Expansions, Compressions
• Lesson 3: Determining Equations of Quadratic Functions
• Lesson 4: Changing from General Form to Standard Form

Unit 3 Send in Assignment
Unit 4 Send in Assignment
Module 2 Test

### MODULE 3

• Lesson 1: Solving Quadratics by Factoring
• Lesson 2: Solving Quadratics by the Square Root Principle
• Lesson 4: The Discriminant

Unit 6: Inequalities

• Lesson 1: Solving Linear Inequalities
• Lesson 2: Solving Quadratic Inequalities
• Lesson 3: Solving Inequalities by Graphing
• Lesson 4: Sign Analysis (Linear Quadratic and Rational)

Unit 5 Send in Assignment
Unit 6 Send in Assignment
Module 3 Test

### MODULE 4

Unit 7: Trigonometry

• Lesson 1: Angles in Standard Position
• Lesson 2: Trig Ratios of Angles in Standard Position
• Lesson 3: Exact Values Sine, Cosine, and Tangent of Special Angles
• Lesson 4: Solving Conditional Trig Equations
• Lesson 5: The Sine Law
• Lesson 6: Ambiguous Case of Sine Law
• Lesson 7: The Cosine Law

Unit 8: Financial Literacy

• Lesson 1: Simple Interest
• Lesson 2: Compound Interest
• Lesson 3: Types of Credit Cards
• Lesson 4: Loans, Lines of Credit, and Overdraft Protection

Unit 7 Send in Assignment
Unit 8 Send in Assignment
Module 4 Test

### ASSESSMENT

• Unit Assignments (8 total) 30%
• Module Tests (4 total) 70%

Required Resources:  a computer with internet access and headphones/speakers in addition to a graphing/scientific calculator.