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MCR3U - Grade 11 Functions
1.1 - Relations and Functions
Functions, Relations, Domain and Range
Functions and Vertical Line Test (video)
Vertical Line Test Example (video)
Draw Other Functions (video) (3:42)
Draw Relation given Characteristics (video)
1.2 - Function Notation
Function Notation Overview (video)
Example 1 (video)
Example 2 (video)
Example 3 (video)
Example 4 (video)
Example 5 (video)
Example 6 (video) (5:54)
Example 7 (video)
Example 8 (video)
1.3 - Parent Functions
Parent and Family Functions Overview (video)
Overview of Linear Function (video)
Overview of Quadratic Function (video)
Overview of Radical Function (video)
Overview of Reciprocal Function (video)
Overview of Absolute Value Function (video)
1.4 - Domain and Range of a Function
Domain and Range Example 1 (video)
Domain and Range Example 2 (video)
Domain and Range Example 3 (video)
Finding Domain and Range from Complex Graph Example 1 (video)
Finding Domain and Range from Complex Graph Example 2 (video)
Finding Domain and Range from Complex Graph Example 3 (video)
1.5 - Inverse of a Function
Inverse of a Function Overview (video)
Inverse of a Function Example 1 (video)
Inverse of a Function Example 2 (video)
Inverse of a Function Example 3 (video)
Inverse of a Function Example 4 (video)
Inverse of a Function Example 5 (video)
Inverse of a Function Example 6 (video)
Inverse of a Function Example 7 (video)
Inverse of a Function Example 8 (video)
Find the Inverse of a Standard Form Quadratic (video)
Inverse of a Function Communication Problem 1 (video)
Inverse of a Function Communication Problem 2 (video)
1.6, 1.7, 1.8 - Transformations of Functions
Transformations of Functions Overview (video)
Vertical Stretch, Compression and Reflection in x-axis (video)
Horizontal Stretch, Compression and Reflection in y-axis (video)
Horizontal Translations (video)
Vertical Translations (video)
General Process for Graphing Overview (video)
Graphing Example 2 (video)
Graphing Example 3 (video)
Graphing Example 4 (video)
Graphing Example 5 (video)
Graphing Example 6 (video)
Transformations of Points Example 1 (video)
Transformations of Points Example 2 (video)
Write Equation Given Transformations Example 1 (video)
Write Equation Given Transformations Example 2 (video)
Graph Radical Function Presented in Different Format (video)
Unit 1 (Introduction to Functions) Test 1
Test 1 Questions (pdf)
Test 1 Solutions (pdf)
Knowledge Question 1 Solution (video)
Knowledge Question 6 Solution (video)
Knowledge Question 7 Solution (video)
Knowledge Question 8 Solution (video)
Application Question 1ab Solution (video)
Application Question 1cd Solution (video)
Application Question 1e Solution (video)
Communication Question 1 Solution (video)
Communication Question 2 Solution (video)
Thinking Question 1 Solution (video)
Thinking Question 2 Solution (video) (10:17)
Thinking Question 3 Solution (video) (6:33)
Unit 1 (Introduction to Functions) Test 2
Test 2 Questions (pdf)
Test 2 Solutions (pdf)
Knowledge Question 1 Solution (video)
Knowledge Question 2 Solution (video)
Knowledge Question 3 Solution (video)
Knowledge Question 4 Solution (video)
Application Question 1a Solution (video)
Application Question 1b Solution (video)
Application Question 2 Solution (video)
Communication Question 1 Solution (video)
Communication Question 2 Solution (video)
Communication Question 3 Solution (video)
Communication Question 5 Solution (video)
Thinking Question 1 Solution (video)
Thinking Question 2 Solution (video)
Thinking Question 3 Solution (video)
2.1 - Operations with Polynomials
Adding and Subtracting Polynomials Overview (video)
Two Non Equivalent Polynomials (video)
Adding & Subtracting Polynomials Word Problem 1 (video)
Adding & Subtracting Polynomials Word Problem 2 (video)
Multiplying Polynomials 1 (video)
Multiplying Polynomials 2 (video)
Are Two Polynomial Expressions Equal? (video)
Cylinder, Volume and Surface Area (video)
Triangle Area Word Problem (video)
Simplify Polynomial Expressions (video) (2:57)
Expand and Simplify Expressions (video) (6:38)
Find Expression for Area of Geometric Shape (video)
2.2 - Factoring
Factoring Review (video)
Factoring by Difference of Squares 1 (video)
Factoring by Difference of Squares 2 (Video)
Factoring by Difference of Square 3 (video)
Factoring by Grouping (video)
Factoring Word Problem with Circles (video)
Factoring Word Problem with Area & Perimeter (video)
Factoring Word Problem with Surface Area (video)
Factoring Application Problem (video)
2.3 - Simplifying Rational Expressions with Restrictions
Simplifying Rational Expressions Part 1 (video)
Simplifying Rational Expressions Part 2 (video)
Simplifying Rational Expressions Part 3 (video)
Simplifying Rational Expressions Part 4 (video) (10:08)
Domain for Rational Expressions (video)
Rational Expressions Word Problem - Ratio of Triangle Side to Perimeter (video)
Rational Expressions Problem - Find Ratio of Volumes (video)
Find Original Rational Expression given Restrictions 1 (video)
Find Original Rational Expression given Restrictions 2 (video)
Find Original Rational Expression given Restrictions 3 (video)
2.4 - Holes vs Asymptotes on Graphs
Rational Expression Restrictions - Holes vs Asymptotes (video)
2.5 - Operations with Rational Expressions
Multiplying & Dividing Rational Expressions Part 1 (video)
Multiplying & Dividing Rational Expressions Part 2 (video) (14:13)
Multiplying & Dividing Rational Expressions Part 3 (video) (4:10)
Multiplying & Dividing Rational Expressions Part 4 (video)
Multiplying & Dividing Rational Expressions Part 5 (video)
Multiplying & Dividing Rational Expressions Word Problem 1 (video)
Multiplying & Dividing Rational Expressions Word Problem 2 (video)
Adding & Subtracting Rational Expressions Part 1 (video) (11:32)
Adding & Subtracting Rational Expressions Part 2 (video) (11:37)
Adding & Subtracting Rational Expressions Part 3 (video) (10:59)
Adding & Subtracting Rational Expressions Part 4 (video) (5:40)
Adding & Subtracting Rational Expressions Part 5 (video)
Adding & Subtracting Rational Expressions Part 6 (video) (10:10)
Adding & Subtracting Rational Expressions Part 7 (video)
Mixing Operations with Rational Expressions 1 (video) (9:42)
Mixing Operations with Rational Expressions 2 (video)
Mixing Operations with Rational Expressions 3 (video) (9:07)
Mixing Operations with Rational Expressions 4 (video)
Adding & Subtracting Rational Expressions Word Problem (video)
Unit 2 (Equivalent Algebraic Expressions) Mock Test 1
Test 1 Questions (pdf)
Test 1 Solutions (pdf)
Knowledge Question 2a Solution (video)
Knowledge Question 2b Solution (video)
Knowledge Question 3ab Solution (video)
Knowledge Question 3cd Solution (video)
Application Question 1 Solution (video)
Application Question 2 Solution (video)
Application Question 3 Solution (video)
Application Question 4 Solution (video)
Communication Question 1 Solution (video)
Communication Question 2 Solution (video)
Communication Question 3 Solution (video)
Thinking Question 1 Solution (video)
Thinking Question 2 Solution (video)
Unit 2 (Equivalent Algebraic Expressions) Mock Test 2
Test 2 Questions (pdf)
Test 2 Solutions (pdf)
Knowledge Questions 4,5,6 and 7 Solution (video)
Knowledge Question 9 Solution (video)
Application Question 1 Solution (video)
Application Question 2a Solution (video)
Application Question 2bc Solution (video)
Application Question 3 Solution (video)
Thinking Question 1 Solution (video)
Thinking Question 2 Solution (video)
Thinking Question 3 Solution (video)
Communication Question 1 Solution (video)
Communication Question 2 Solution (video)
Communication Question 3 Solution (video)
Communication Question 4 Solution (video)
3.1 - Quadratic Functions Overview
Constant Differences (video)
Vertex, Axis of Symmetry and Domain/Range (video)
Convert to Standard Form (video)
Find Equation from Graph (video)
Soccer Ball Kick Word Problem (video)
Find Equation given Characteristics (video)
Challenging Word Problem (video)
3.2 - Max & Min of a Quadratic
Completing the Square Overview (video)
Find the Maximum Revenue (video)
Maximum Revenue vs Maximum Profit (video)
Ball Thrown Off Roof Word Problem (video)
Show Quadratic Can't be Greater Than Amount (video)
What Ticket Price Maximizes Revenue? (video)
Maximizing Area of a Track (video)
Graphing a Quadratic with Characteristics Example 1 (video)
Graphing a Quadratic with Characteristics Example 2 (video)
Axis of Symmetry + Completing Square Problem (video)
Finding Vertex from Unique Format Quadratic (video)
Finding Constants given Vertex of Quadratic (video)
3.3 - Inverse of a Quadratic
Graph Inverse given Graph of Quadratic (video)
Convert Quadratic to Inverse Example (video)
Find Domain and Range of Inverse (video)
Graph Inverse given Restricted Domain (video)
Tough Graphing Inverse Question (video)
3.4 - Radicals
Simplifying Radicals (video)
Adding and Subtracting Radicals Part 1 (video)
Adding and Subtracting Radicals Part 2 (video) (3:23)
Multiplying and Dividing Radicals (video)
Mixed Operations with Radicals (video)
Find Diagonals in Square and Rectangle (video)
Find Perimeter given Area of Square (video)
Right Triangle Word Problem (video)
Tougher Simplification Questions (video)
3.5 - Quadratic Equations
Solve Quadratic Equation by Factoring Part 1 (video) (6:20)
Solve Quadratic Equation by Factoring Part 2 (video)
Solve Quadratic Equation by Quadratic Formula Part 1 (video) (5:54)
Solve Quadratic Equation by Quadratic Formula Part 2 (video)
Finding the X-Intercepts of a Quadratic (video)
Word Problem - Find Dimensions of Rectangle (video)
Word Problem - Solve for Triangle Part 1 (video)
Word Problem - Solve for Triangle Part 2 (video)
Word Problem - Solve for Triangle Part 3 (video)
Word Problem - Solve for Triangle Part 4 (video)
Word Problem - Solve for Integers Part 1 (video)
Word Problem - Solve for Integers Part 2 (video)
Word Problem - Solve for Integers Part 3 (video)
Word Problem - Solve for Integers Part 4 (video)
Word Problem - Solve for Uniform Width of Deck (video)
Word Problem - How Long is a Ball Above a Height? (video)
Word Problem - Revenue Problem 1 (video)
Word Problem - Revenue Problem 2 (video)
Word Problem - Solve for Uniform Width 1 (video)
Word Problem - Solve for Uniform Width 2 (video)
Word Problem - Solve for Uniform Width 3 (video)
Word Problem - Open Top Box 1 (video)
Word Problem - Open Top Box 2 (video)
Word Problem - Tricky Ball Thrown off Roof Problem (video)
3.6 - Discriminant of a Quadratic (Zeros of a Quadratic)
Discriminant of a Quadratic Overview (video)
Finding the Discriminant of a Quadratic (video)
Finding Constants using Discriminant (video)
Tough Discriminant Example (video)
How do Transformations Affect X-intercepts? (video)
When Does a Function have At Least One Real Root? (video)
3.7 - Families of Quadratic Functions
Creating Quadratic Functions given Zeros (video)
Word Problem - How High is a Parabolic Bridge? (video)
Word Problem - Can a Truck fit Through? (video)
Word Problem - Width of Tunnel as an Exact Value (video)
3.8 - Line vs Quadratic
Point of Intersection between Line and Quadratic (video)
Find Number of Intersections between Line and Quadratic (video)
When is a Line Tangent to Quadratic Example 1? (video)
When is a Line Tangent to Quadratic Example 2? (video)
Unit 3 (Quadratic Functions) Mock Test 1
MCR3U Quadratic Functions Test 1 Questions (pdf)
MCR3U Quadratic Functions Test 1 Solutions (pdf)
Knowledge Question 1 (video)
Knowledge Question 2 (video)
Knowledge Question 3 (video)
Knowledge Question 4 (video)
Knowledge Question 5 (video)
Knowledge Question 6 (video)
Application Question 1 (video)
Thinking Question 1 (video)
Thinking Question 2 (video)
Thinking Question 3 (video)
Unit 3 (Quadratic Functions) Mock Test 2
MCR3U Quadratic Functions Test 2 Questions (pdf)
MCR3U Quadratic Functions Test 2 Solutions (pdf)
Knowledge Question 1 (video)
Knowledge Question 2 (video)
Knowledge Question 3 (video)
Knowledge Question 4 (video)
Knowledge Question 5 (video)
Communication Question 1 (video)
Communication Question 2 (video)
Communication Question 3 (video)
Communication Question 4 (video)
Application Question 1 (video)
Application Question 2 (video)
Application Question 3 (video)
Application Question 4 (video)
Application Question 5 (video)
Thinking Question 1 (video)
Thinking Question 2 (video)
Thinking Question 3 (video)
Thinking Question 4 (video)
Thinking Question 5 (video)
4.1 - Integer Exponents
Integer Exponents Examples Part 1 (video)
Integer Exponents Examples Part 2 (video)
Integer Exponents Examples Part 3 (video)
Integer Exponents Examples Part 4 (video)
Integer Exponents Examples Part 5 (video)
Is (-5)^2 the same as -5^2? (video)
Solving for Integer Exponents (video)
Manipulating Exponential Expressions (video)
Simplifying Exponents with Variables (video)
Tougher Thinking Problem with Exponents (video)
Solving Equations with Exponents (video)
Function Notation + Exponential Function Problem (video)
4.2 - Rational Exponents
Rational Exponents Overview (video)
Express in Exponential Form and Evaluate (video)
Evaluate Rational Exponent Expressions Part 1 (video)
Evaluate Rational Exponent Expressions Part 2 (video)
Evaluate Rational Exponent Expressions Part 3 (video) (5:23)
Evaluate Rational Exponent Expressions Part 4 (video) (4:51)
Proof with Exponents (video)
Solve Equation with Rational Exponents (video)
4.3 - Simplifying Exponential Expressions
Simplifying Complex Exponential Expressions Part 1 (video)
Simplifying Complex Exponential Expressions Part 2 (video)
Simplifying Complex Exponential Expressions Part 3 (video)
Simplifying Complex Exponential Expressions Part 4 (video)
Simplifying Complex Exponential Expressions Part 5 (video)
Simplifying Complex Exponential Expressions Part 6 (video) (3:21)
Simplifying Complex Exponential Expressions Part 7 (video) (8:57)
Simplify and Evaluate Exponential Expressions (video)
Simplifying Expressions with Variable in Exponents (video)
Find Expression for Radius in Cylinder (video)
4.4 - Transformations of Exponential Functions Overview
Graphing Base/Parent Exponential Functions (video)
Graphing Exponential Functions and Domain/Range Part 1 (video)
Graphing Exponential Functions and Domain/Range Part 2 (video)
Graphing Exponential Functions and Domain/Range Part 3 (video)
Match Graph to Exponential Function (video)
State Transformations from f(x) to g(x) (video)
Graphing a Tough Exponential Function - Part 1 (video)
Graphing a Tough Exponential Function - Part 2 (video)
Create Exponential Function given Coordinates 1 (video)
Create Exponential Function given Coordinates 2 (video)
Create Exponential Function given Characteristics (video)
Create Exponential Function given Graph 1 (video)
Tricky Transformations Problem with Exponential Function (video)
4.5 - Exponential Functions Word Problems
Finding Growth and Decay Rate (video)
Finding Time when Investment Doubles (video)
Exponential Word Problem with Decay (video)
Writing Exponential Function for Different Scenarios (video)
Finding Investment Value using Exponential Function (video)
Unit 4 (Exponential Functions) Mock Test 1
MCR3U Exponential Functions Test 1 Questions (pdf)
MCR3U Exponential Functions Test 1 Solutions (pdf)
Knowledge Question 1abcd (video)
Knowledge Question 1efg (video)
Knowledge Question 2 (video)
Knowledge Question 3 (video)
Application Question 1 (video)
Application Question 2 (video)
Application Question 3 (video)
Communication Question 1 (video)
Communication Question 2 (video)
Communication Question 3 (video)
Communication Question 4 (video)
Thinking Question 1 (video)
Thinking Question 2 (video)
Thinking Question 3 (video)
Unit 4 (Exponential Functions) Mock Test 2
MCR3U Exponential Functions Test 2 Questions (pdf)
MCR3U Exponential Functions Test 2 Solutions (pdf)
Knowledge Question 1 (video)
Knowledge Question 2a (video)
Knowledge Question 2b (video)
Knowledge Question 2c (video)
Knowledge Question 2d (video)
Application Question 1 (video)
Application Question 2 (video)
Application Question 3 (video)
Application Question 4 (video)
Communication Question 1 (video)
Communication Question 3 (video)
Thinking Question 1 (video)
Thinking Question 2 (video)
Thinking Question 3 (video)
Thinking Question 4 (video)
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Knowledge Questions 4,5,6 and 7 Solution (video)
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