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Mathematics

MCR3U-C  Functions

Course Code: MCR3U-C

Grade 11, University Preparation, 1.0 credit

This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students 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. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

Ordering by Unit

Course units can be purchased individually.

Unit 1: Lessons 1-5

Lesson 1:
Equivalent Algebraic Expressions
Lesson 2:
Functions and Relations
Lesson 3:
Transformations of Functions
Lesson 4:
Quadratic Functions
Lesson 5:
Applications of Quadratic Functions

Unit 2: Lessons 6-10

Lesson 6:
Laws of Exponents
Lesson 7:
Exponential Functions
Lesson 8:
Transformations of Exponential Functions
Lesson 9:
Exponential Growth and Decay
Lesson 10:
Exponential Growth and Compound Interest

Unit 3: Lessons 11-15

Lesson 11:
Applications of Trigonometry
Lesson 12:
Special Trigonometric Ratios and Identities
Lesson 13:
Periodic and Trigonometric Functions
Lesson 14:
Transformations of Sinusoidal Functions
Lesson 15:
Applications of Sinusoidal Functions

Unit 4: Lessons 16-20

Lesson 16:
Introduction to Sequences
Lesson 17:
Arithmetic and Geometric Sequences
Lesson 18:
Arithmetic and Geometric Series
Lesson 19:
Simple and Compound Interest
Lesson 20:
Annuities
This course has no additional items.
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