# Pre-Calculus 11

## Teacher(s)

Mark Swiednicki

## Prerequisite

Foundations and Pre-Calculus Mathematics 10

or
Principle of Math 10

or
LF Math 7: Math Foundations

## Description

This Math 11 course is aimed at students who plan on completing post-secondary programs that require the knowledge of theoretical calculus, such as sciences or business.

Students use headphones or 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. The assignments and tests however are done by hand and submitted either electronically or by mail.

## Type

online

## Credit

4

## Delivery

Student paced

## Evaluation

20% of the school mark comes from the send-in assignments

80% of the school mark comes from the tests

## Support

SIDES teacher to provide face to face, telephone, e-mail or online support.

## Materials

Students need a scientific calculator

## More Info

**UNIT ONE: ABSOLUTE VALUE AND RADICALS**

Lesson 1 - Real Numbers and Absolute Value

Lesson 2 - Simplifying Radicals

Lesson 3 - Adding and Subtracting Radicals

Lesson 4 - Multiplying, Dividing and Rationalizing Radicals

Lesson 5 - Solving Radical Equations

**UNIT TWO: FACTORING PLYNOMIALS**

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 THREE: RATIONAL EXPRESSIONS**

Lesson 1 - Comparing Rational Expressions to Rational Numbers

Lesson 2 - Non-Permissible Values for Rational Expressions

Lesson 3 - Simplifying Rational Expressions

Lesson 4 - Multiplying and Dividing Rational Expressions

Lesson 5 - Adding and Subtracting Rational Expressions

Lesson 6 - Solving Problems Involving Rational Expressions

**UNIT FOUR: 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

Lesson 5 - Graphing Linear and Quadratic Reciprocal Functions

**UNIT FIVE: 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 SIX: 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 SEVEN: 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 EIGHT: 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 - Deriving the Sine Law

Lesson 6 - Application of the Sine Law

Lesson 7 - Sine Law and the Ambiguous Case

Lesson 8 - Deriving the Cosine Law

Lesson 9 - Application of the Cosine Law

**UNIT NINE: ABSOLUTE VALUE & RECIPROCAL FUNCTIONS**

Lesson 1: Absolute Value Functions

Lesson 2: Solving Absolute Value Equations

Lesson 3: Graphing Linear Reciprocal Functions

Lesson 4: Graphing Reciprocal Quadratic Functions

## Outcomes

Click here to view the Prescribed Learning Outcomes for this course.