## Math 11 – Pre-Calculus

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

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

**View the complete Learning Outcomes for this course:** Pre-calculus Math 11 Curriculum

### Unit 1: Absolute Value and Radicals

- Lesson 1: Real Numbers and Absolute Value
- Lesson 2: Simplifying Radicals
- Lesson 3: Adding and Subtracting Radicals
- Lesson 4: Multiplying Radicals
- Lesson 5: Dividing and Rationalizing Radicals
- Lesson 6: Solving Radical Equations

### Unit 2: Factoring Poynomials

- 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 by Using the Quadratic Formula
- Lesson 4: The Discriminant

### Unit 6: Solving Systems of Equations

- Lesson 1: Solving Quadratic Inequalities
- Lesson 2: Graphing Linear Inequalities in Two Variables
- Lesson 3: Solving Linear-Quadratic Systems in Two Variables
- Lesson 4: Solving Quadratic-Quadratic Systems in Two Variables
- Lesson 5: Solving Linear-Quadratic Inequalities in Two Variables
- Lesson 6: Solving Quadratic-Quadratic Systems of Inequalities in Two Variables

### Unit 7: Arithmetic and Geometric Sequences and Series

- Lesson 1: Arithmetic Sequences
- Lesson 2: Arithmetic Series
- Lesson 3: Geometric Sequences
- Lesson 4: Geometric Series
- Lesson 5: Infinite Geometric Series

### Unit 8: 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: Sine Law and the Ambiguous Case
- Lesson 7: The Cosine Law

### Unit 9: Absolute Value and Reciprocal Functions

- Lesson 1: Absolute Value Functions
- Lesson 2: Solving Absolute Value Equations
- Lesson 3: Graphing Linear Reciprocal Functions
- Lesson 4: Using Technology to Graph Quadratic Reciprocal Functions
- Lesson 5: Graphing Quadratic Reciprocal Functions

### Assessment

**First Assignment: 1 (10%)****Assignments: 9 (30%)****Tests: 4 (60%)**

**Required Resources:** a computer with internet access. A graphing/scientific calculator (available online)