MHF4U - Advanced Functions - Ontario Curriculum
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Course Notes Worksheets, Practice Tests, and Videos
Chapter 1 Functions: Characteristics and Properties

1.1 Functions

[ Handout ] [ Solutions ]

 

1.2 Exploring Absolute Value

[ Handout ] [ Solutions ]

 

1.3 Properties of Graphs of Functions

[ Handout ] [ Solutions ]


1.4 Sketching Graphs Of Functions

[ Handout ] [ Solutions ]

1.5 Inverse Functions

[ Handout ] [ Solutions ]


1.6 Piecewise Functions

[ Handout ] [ Solutions ]



1.7 Exploring Operations with Functions

[ Handout ] [ Solutions ]


Chapter 1 Review

 

Chapter 2 Functions: Understanding Rates of Change

2.1 Determining Average Rate of Change

[ Handout ] [ Solutions ]

 

2.2 Estimating Instantaneous Rates of Change

[ Handout ] [ Solutions ]

 

Chapter 2 Review


Chapter 3 Polynomial Functions

3.1 Exploring Polynomial Functions

[ Handout ] [ Solutions ]

[ Classwork ][ Solutions ]

[ Challenge ] [ Solutions ]

3.2 Characteristics of Polynomial Functions

[ Handout ] [ Solutions ]

[ Classwork ][ Solutions ]

3.3 Characteristics of Polynomial Functions in Factored Form

[ Handout ] [ Solutions ]

[ Classwork ][ Solutions ]

[ Video 1 ] [ Video 2 ]

3.4 Transformations of Cubic and Quartic Functions

[ Handout ] [ Solutions ]

[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ]

3.5 Dividing Polynomials

[ Handout ] [ Solutions ]

[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ]

3.6 Factoring Polynomials

[ Handout ] [ Solutions ]

[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] [ Video 7 ]

3.7 Factoring a Sum or a Difference of Cubes

[ Handout ] [ Solutions ]


Chapter 3 Review

[ Review ] [ Solutions ]

[ Practice Quizzes 1 ] [ Practice Quizzes 2 ]

[ Test 1 ] [ Test 2 ] [ Test 3 ] [ Test 4 ] [ Test 5 ] [ Test 6

Chapter 4 Polynomial Equations and Inequalities

4.1 Solving Polynomial Equations

[ Handout ] [ Solutions ]

[ Classwork ][ Solutions ]

[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ]

4.2 Solving Linear Inequalities

[ Handout ] [ Solutions ]


4.3 Solving Polynomial Inequalities

[ Handout ] [ Solutions ]

[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ]

Chapter 4 Review

[ Practice Quizzes ]

[ Test 1 ] [ Test 2 ] [ Test 3 ] [ Test 4 ] [ Test 5 ] [ Test 6 ]

Chapter 5 Rational Functions
5.1 Graphs of Reciprocal Functions

[ Handout ] [ Solutions ]

5.2 Exploring Quotients of Polynomial Functions

[ Handout ] [ Solutions ]
[ Video 1 ] [ Video 2 ][ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] [ Video 7 ]
5.3 Graphs of Rational Functions of the form f(x)=(ax+b)/(cx+d)

[ Handout ] [ Solutions ]

5.4 Solving Rational Equations

[ Handout ] [ Solutions ]
[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] [ Video 7 ] [ Video 8 ] [ Video 9 ]
5.5 Solving Rational Inequalities

[ Handout ] [ Solutions ]
[ Video 1 ] [ Video 2 ] [ Video 3 ] [ Video 4 ] [ Video 5 ] [ Video 6 ] [ Video 7 ] [ Video 8 ] [ Video 9 ] [ Video 10 ]

Chapter 5 Review


[ Test 1 ] [ Test 2 ] [ Test 3 ] [ Test 4 ] [ Test 5 ] [ Test 6 ]

Chapter 6 Trigonometric Functions

6.1 Radian Measure

[ Handout ] [ Solutions ]

6.2 Radian Measure and Angles on the Cartesian Plane

[ Handout ] [ Solutions ]


6.3 Exploring Graphs of the Primary Trigonometric Functions

[ Handout ] [ Solutions ]


6.4 Transformations of Trigonometric Functions

[ Handout ] [ Solutions ]

[ Classwork 1 ][ Solutions 1 ]

[ Classwork 2 ][ Solutions 2 ]

6.5 Exploring Graphs of the Reciprocal Trigonometric Functions

[ Handout ] [ Solutions ]


6.6 Modelling with Trigonometric Functions

[ Handout ] [ Solutions ]


Chapter 6 Review


[ Practice Quizzes ]

Chapter 7 Trigonometric Identities and Equations

7.2 Compound Angle Formulas

[ Handout ] [ Solutions ]



7.3 Double Angle Formulas

[ Handout ] [ Solutions ]



7.4 Proving Trigonometric Identities

[ Handout ] [ Solutions ]



7.5 Solving Linear Trigonometric Equations

[ Handout ] [ Solutions ]



7.6 Solving Quadratic Trigonometric Equations

[ Handout ] [ Solutions ]



7.7 Inverse Trigonometric Functions

[ Handout ] [ Solutions ]



Chapter 7 Review


[ Test 1 ] [ Test 2 ] [ Test 3 ] [ Test 4 ] [ Test 5 ]

Exponential Functions

Exponential Functions

[ Handout ] [ Solutions ]



Chapter 8 Logarithmic Functions

8.1 Exploring the Logarithmic Function

[ Handout ] [ Solutions ]



8.2 Transformations of Logarithmic Functions

[ Handout ] [ Solutions ]

[ Classwork ][ Solutions ]

8.3 Evaluating Logarithms

[ Handout ] [ Solutions ]


8.4 Laws of Logarithms

[ Handout ] [ Solutions ]


8.5 Solving Exponential Equations

[ Handout ] [ Solutions ]


8.6 Solving Logarithmic Equations

[ Handout ] [ Solutions ]

[ Classwork ][ Solutions ]

8.7 Solving Problems with Exponential and Logarithmic Functions

[ Handout ] [ Solutions ]


Chapter 8 Review

[ Test 1 ] [ Test 2 ] [ Test 3 ] [ Test 4 ] [ Test 5 ]  

Chapter 9 Combinations of Functions

9.1 Exploring Combinations of Functions

[ Handout ] [ Solutions ]

9.2 Combining Two Functions: Sums and Differences

[ Handout ] [ Solutions ]

9.3 Combining Two Functions: Products

[ Handout ] [ Solutions ]

9.4 Exploring Quotients of Functions

[ Handout ] [ Solutions ]

9.5 Compositions of Functions

[ Handout ] [ Solutions ]

Chapter 9 Review

[ Review ]
[ Practice Quizzes ]

Final Exam Review

[ Review ]