Mathematics

Functions (MCR3U)

Grade: 11
Credits:1.0
Type: University Preparation
Language of Study: English
Prerequisites: MPM2D
Dive into the mathematical concept of the function with linear and quadratic relations. Investigate properties of discrete and continuous functions, and trigonometric and exponential functions. Preview Course
Interested in taking this course?
  • If you are a student already enrolled in an Ontario High School, please contact your school about taking courses with TVO ILC.
  • If your goal is to earn a high school diploma or if you are a homeschool student, an academic assessment of your application must be done before choosing courses, please visit Apply Now to start your application.
CAD $40.00
$40.00
Admin Fee
Course fees are partially subsidized for most Ontario residents. The administrative fee covers the cost for us to process your application.
Grade: 11
Credits:1.0
Type: University Preparation
Language of Study: English
Prerequisites: MPM2D
Dive into the mathematical concept of the function with linear and quadratic relations. Investigate properties of discrete and continuous functions, and trigonometric and exponential functions. Preview Course

Course fees are partially subsidized for most Ontario residents. The administrative fee covers the cost for us to process your application.

Interested in taking this course?
  • If you are a student already enrolled in an Ontario High School, please contact your school about taking courses with TVO ILC.
  • If your goal is to earn a high school diploma or if you are a homeschool student, an academic assessment of your application must be done before choosing courses, please visit Apply Now to start your application.

Course Overview

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 Syllabus

This course is designed for independent study. Our courses are routinely reviewed for errors and adherence to AODA accessibility standards. We appreciate your patience as we work towards delivering high-quality digital learning for all.
This course is designed for independent study. Our courses are routinely reviewed for errors and adherence to AODA accessibility standards. We appreciate your patience as we work towards delivering high-quality digital learning for all. To preview the lessons, please visit this page with a computer or tablet.
25 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

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

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

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

4.1   Applying sinusoidal functions to real world problems

CAD $40.00
$40.00
Admin Fee


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