MCR3U-A

Categories: Mathematics
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About Course

Functions, Grade 11, University Preparation (MCR3U)

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.

Prerequisite: Principles of Mathematics, Grade 10, Academic (MPM2D)

What Will You Learn?

  • MCR3U course is a Grade 11 Functions course which helps students at a university preparation level.

Course Content

Course Outline
This is what is to be covered in this course.

  • Course Outline

Nelson Functions (2008) Textbook
This contains the full PDF version of the textbook.

Unit 1 – Functions and Transformations of Functions
Students will learn how to apply and determine the different transformations that can be applied to functions.

Unit 2 – Exponential Functions
This unit will explore several topics including evaluating powers with rational exponents, simplifying expressions containing exponents, and describing properties of exponential functions represented in a variety of ways. The emphasis will be on modelling and problem solving using these concepts.

Unit 3 – Trigonometry
Students will learn to demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the numeric, graphical, and algebraic representations of sinusoidal functions while solving problems involving sinusoidal functions, including problems arising from real-world applications.

Unit 4 – Discrete Functions and Financial Applications
The unit begins with an exploration of recursive sequences and how to represent them in a variety of ways. Making connections to Pascal's triangle, demonstrating understanding of the relationships involved in arithmetic and geometric sequences and series, and solving related problems involving compound interest and ordinary annuities will form the rest of the unit.

End-of-Course Tasks and Miscellaneous Assessments
Students will complete an ISU assignment and the final exam by the end of the course. Miscellaneous assessments are also included here.

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