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Mathematics

Functions (MCR3U)

Grade: 11
Type: University Preparation
Language of Study: English
Prerequisites: MPM2D
This course introduces the mathematical concept of the function by extending your experiences with linear and quadratic relations. You will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. You will reason mathematically and communicate your thinking as you solve multi-step problems.
Grade: 11
Type: University Preparation
Language of Study: English
Prerequisites: MPM2D
This course introduces the mathematical concept of the function by extending your experiences with linear and quadratic relations. You will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. You will reason mathematically and communicate your thinking as you solve multi-step problems.

Course Lessons

This course is designed for independent study.

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25 Lessons

6 Lessons

1.1   Introducing functions

1.2   Finding the inverse of a function

1.3   Exploring the characteristics of parent functions

1.4   Identifying the characteristics of quadratic functions

1.5   Applying quadratic functions to real world problems

1.6   Identifying equivalent functions

4 Lessons

2.1   Exploring the exponent laws

2.2   Identifying the properties of exponential functions

2.3   Exploring transformations of exponential functions

2.4   Applying exponential functions to real world problems

5 Lessons

3.1   Introducing sequences

3.2   Investigating arithmetic and geometric sequences

3.3   investigating arithmetic and geometric series

3.4   Exploring simple and compound interest

3.5   Introducing ordinary simple annuities

10 Lessons

4.1   Introducing trigonometric functions

4.2   Connecting primary trigonometric ratios and the unit circle

4.3   Defining exact values of trigonometric ratios

4.4   Exploring angles between 0 and 360 degrees

4.5   Investigating the sine law

4.6   4.6 Investigating the cosine law

4.7   Introducing trigonometric identities

4.8   Identifying the characteristics of periodic functions

4.9   Exploring transformations of sinusoidal functions

4.10   Applying sinusoidal functions to real world problems

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