Grade 11 Functions (MCR3U) and Functions and Applications (MCF3M) Courses (Ontario)

Functions and Function Notation Lessons

1. Functions and Relations

2. Function Notation

Quadratic Functions Lessons

1. Common Factoring

2. Difference of Squares

3. Factoring Complex Trinomials

4. Factoring by Grouping

5. Factoring Simple Trinomials

6. Completing the square    

7. Solving Quadratics by factoring

8. Graphing Quadratics

9. Quadratic Formula

10. Graphing from factored form

11. How to get an equation from the graph

Quadratic Examples

• Difference of Squares 

• Complex Trinomial 

• Common Factoring 

• More than one type of factoring 

• Factoring by Grouping

• Solving quadratic by factoring           

• Solve by factoring 2         

• Solve by factoring 3       

• Solve by factoring 4      

• Solve by factoring 5       

• Solve by factoring 6     

• Solve by factoring 7      

• Solve by factoring 8       

• Solve by factoring 9       

• Solving by factoring 10

• Quadratic Formula      

• Quadratic Formula 2

• Number of Roots 

• Completing the Square    

• Finding the Vertex 

Rational Functions Lessons

1. Finding Restrictions on Rational Expressions

2. Simplifying Rational Expressions

3. Multiplying and Dividing Rational Expressions

4. Adding and Subtracting Rational Expressions

Rational Function Examples

• Subtracting Rationals 

• Dividing Rationals 

• Multiplying Rationals

Discrete Functions Lessons

1. Arithmetic Sequences

2. Geometric Sequences

3. Series

4. Another Sequences Lesson

Discrete Functions Examples

• Find the Sum

Exponential Functions Lessons

1. Exponent Rules

2. Solving Exponential Equations

Exponential Functions Examples

• Exponent Rules    

• Exponent Rules 2 

• Solving Exponential Equations 1         

• Solving Exponential Equations 2      

• Solving Exponential Equations 3      

• Solving Exponential Equations 4

• Solving Exponential Equation 5     

• Factoring using Exponent Rules      

• Expanding using Exponent Rules     

• Expanding using Exponent Rules 2 

• Exponential Equation 5        

Trigonometric Functions Lessons

1. Sine, Cosine and Tangent Ratios

2. The Cosine Law

3. Sine Law

4. Solving Trig Equations

5. Graphing Trig Functions - Part 1

6. Graphing Trig Functions - Part 2

7. Determining Exact Trig Values

8. Solving Trig Equations that are in Quadratic Form

Trigonometric Functions Examples

• SOH-CAH-TOA

• Sine Ratio 

• Cosine Ratio

• Tangent Ratio

• Area of a Triangle (using Sine)   

• Finding Exact Value 

• Exact Value 2  

• Proving a Trig Identity                     

• Trig Identity 2      

• Trig Equation 1