## 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.

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, finance, rational expressions, and trigonometry.

**Assessment: **There are 8 units in the course; each will have a review assignment to submit and a unit test to write. One project of choice is required. There are also in-person, supervised exams in the course.

**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 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 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 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

**ASSESSMENT**

- Unit Review Assignments, Project 20%
- Online unit tests 15%
- Supervised exams 65%

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