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Functions

MCR3U-GRADE 11

Course Code:

MCR3U

Subject:

Functions

Course type:

open

Prerequiste:

None

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MCR3U is a university-preparation math course that introduces students to key concepts in algebra and functions. It builds the foundation needed for Grade 12 Advanced Functions and Calculus.

Students will explore characteristics of:

  • Polynomial
  • Exponential Trigonometric functions
  • Develop multiple representations of functions
  • Apply algebraic techniques to solve equations.

Unit 1: Characteristics of Functions

Students begin by exploring different ways to represent and analyze functions.
Lessons include:

  • Introduction to Functions

  • Function Notation

  • Domain and Range

  • Rate of Change

  • Transformations of Functions

  • Piecewise Functions

Unit 2: Quadratic Functions

This unit focuses on quadratic functions and their properties.
Lessons include:

  • Standard, Vertex, and Factored Forms

  • Completing the Square

  • Solving Quadratic Equations

  • Applications in Context

  • Transformations of Quadratic Graphs

Unit 3: Polynomial and Rational Functions

Students investigate polynomial and rational functions, including their graphs and end behaviour.
Lessons include:

  • Exponents and Laws of Exponents

  • Exponential Growth and Decay Models

  • Transforming Exponential Functions

  • Applications in Real-World Situations

Unit 4: Exponential Functions

This unit introduces growth and decay through exponential relationships.
Lessons include:

  • Generating Ideas

  • Art Criticism Techniques

  • The Creative Process

  • Elements and Principles of Art

  • Artistic Methods and Production

  • Presenting Artworks to an Audience

Unit 5: Trigonometric Functions

Students apply trigonometry in both geometric and functional contexts.
Lessons include:

  • Introduction to Radian Measure

  • Graphing Sine and Cosine Functions

  • Amplitude, Period, and Phase Shift

  • Trigonometric Equations

  • Real-Life Applications of Periodic Phenomena

  • 70% of the final grade is based on coursework, including:

    • Assignments on transformations, function analysis, and problem sets

    • Quizzes and unit tests focused on algebraic and graphical methods

  • 30% of the final grade is based on final evaluations:
    • 10% Culminating project (e.g., function modeling or mathematical investigation)
    • 20% Final exam assessing skills across all units
All assessments follow Ontario curriculum standards, reinforcing analytical thinking, symbolic reasoning, and application in both academic and real-life settings.

Industry-Standard Tools

Access to the latest software and hardware used in the technology industry

Expert Faculty

Learn from experienced professionals with industry background

Project-Based Learning

Develop practical skills through hands-on projects and assignments.

Career Support

Guidance for future education and career opportunities

Where Flexibility Meets Academic Excellence

Your Future Starts with the Right High School:
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At Futures Canadian School, students earn the Ontario Secondary School Diploma (OSSD) through a fully online, Ministry-inspected program designed for success—anywhere in the world. Our flexible format, expert support, and university-prep focus empower students to reach their academic goals on their terms, while meeting the highest standards of Ontario education. Whether you're aiming for top universities in Canada or abroad, we provide a pathway that fits your pace and ambition.

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Frequently Asked Questions

Q) Is the school accredited by the Ministry of Education?
Ans) Yes, Futures Canadian School is fully inspected and accredited by the Ontario Ministry of Education to ensure that we meet the highest standards of academic quality.
Ans) You can reach us by email, phone or through our website to begin your application or speak directly with an admissions counselor.
Ans) We offer over 80 college and college preparatory courses covering fields such as health sciences, business, engineering, design and more.
Ans) Students receive personalized academic advising, tutoring, and regular progress monitoring to help them succeed.
Ans) Yes! We offer comprehensive college application support, including program selection, personal statement writing, and meeting deadlines.

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