## Math 11 – Pre-Calculus

**Ministry code: PREC 11**

**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 3: Simplifying Radicals
- Lesson 4: Adding and Subtracting Radicals
- Lesson 5: Multiplying Radicals
- 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

**Unit 4: Quadratic Functions**

- 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

**Unit 5: Solving Quadratic Equations**

- Lesson 1: Solving Quadratics by Factoring
- Lesson 2: Solving Quadratics by the Square Root Principle
- Lesson 3: Solving Quadratics Using the Quadratic Formula
- 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.