MCF3M
Functions and Applications
This Grade 11 university/college preparation mathematics course introduces basic features of functions by extending students’ experience with quadratic relations. Students investigate quadratic, exponential and trigonometric/sinusoidal functions, financial mathematics and real-world applications.
Grade
11
Credit
1.0
Delivery
Online
Prerequisite
MPM2D or MFM2P
About This Course
This Grade 11 university/college preparation mathematics course introduces basic features of functions by extending students’ experience with quadratic relations. Students investigate quadratic, exponential and trigonometric/sinusoidal functions, financial mathematics and real-world applications.
What You'll Learn
- Expand and simplify quadratic expressions and solve quadratic equations.
- Analyze quadratic functions using function notation, domain, range, transformations and multiple forms.
- Represent and solve problems involving exponential functions, growth and decay.
- Apply compound interest, loans, savings and annuities in financial contexts.
- Use the sine law and cosine law to solve problems involving acute triangles.
- Analyze periodic relationships and model applications using sine functions.
Skills You'll Develop
- Function representation and interpretation
- Algebraic reasoning and equation solving
- Graphing and transformations
- Financial mathematics and modelling
- Trigonometric problem solving and mathematical communication
Learning Outcomes
By the end of the course, students will be able to:
- Expand and simplify quadratic expressions, solve quadratic equations and connect roots to graphs.
- Represent quadratic functions numerically, graphically and algebraically and solve real-world problems.
- Represent exponential functions and solve growth, decay and other application problems.
- Use compound interest and annuities to solve financial problems.
- Solve acute-triangle problems using the sine law and cosine law.
- Understand periodic relationships and represent and solve problems involving sine functions.
- Use mathematical processes to reason, communicate, select tools, make connections and solve multi-step problems.
Course Units
The following reflects the school’s planned organization of the course. Approximate time allocations may be adjusted while all curriculum expectations and required planned learning are maintained.
| Unit | Title / Major Learning Focus | Approx. Time |
|---|---|---|
| 1 | Introduction to Quadratic Functions | 23 hours |
| 2 | Analyzing Quadratic Functions | 28 hours |
| 3 | Exponential Functions | 26 hours |
| 4 | Trigonometry and Sinusoidal Functions | 30 hours |
| Final | Mandatory Written Final Examination | 3 hours |
Assessment
Assessment uses evidence gathered over time from student work, conversations and observations. The final grade for 2026–2027 is determined as follows:
| Component | Weight | How It Is Determined |
|---|---|---|
| Course work throughout the course | 65% | Evaluation evidence gathered throughout the course, with professional judgement applied to the full body of evidence and emphasis on consistent and more recent achievement. |
| Mandatory written final examination | 25% | Comprehensive written examination completed during the designated final-evaluation period. |
| Attendance and participation | 10% | Based on meaningful attendance and participation; excused absences do not negatively affect this component. |
Examples of Assessment Evidence
Assessment may include problem sets, worked solutions, investigations, graphs, technology-generated representations, quizzes, unit tests and final evaluations.
Pathways
Students connect mathematical problem solving, numeracy, technology use, communication and analytical thinking to postsecondary programs and careers in business, technology, health sciences, trades, design and related areas.
MCF3M is designed to meet the prerequisite requirements for a range of university/college and college-level postsecondary programs.
Teacher Support
- Students learn through the school's secure online learning environment and receive ongoing support from qualified teachers.
- Teacher-supported conferencing, tutorials and scheduled live support are available as appropriate.
- Teachers connect new function concepts to prior understanding through investigative learning, explicit modelling and worked examples.
- Multiple representations using tables, graphs, equations, diagrams, contexts and approved technology support conceptual understanding.
- Real-world modelling includes quadratic relationships, growth and decay, compound interest, annuities, triangles and periodic phenomena.
- Descriptive feedback, self-assessment, error analysis and opportunities to revisit misconceptions support mathematical growth.
Frequently Asked Questions
What is the course code?
MCF3M — Functions and Applications, Grade 11, University/College Preparation.
What is the prerequisite?
Principles of Mathematics, Grade 10, Academic, or Foundations of Mathematics, Grade 10, Applied.
How many credits is MCF3M?
The course is worth 1.0 Ontario secondary school credit.
What functions are studied?
The course focuses on quadratic, exponential and trigonometric/sinusoidal functions.
Does the course include financial mathematics?
Yes. Compound interest, loans, savings and annuities are included in the exponential-functions unit.
How is the final grade calculated?
65% course work, 25% mandatory written final examination, and 10% attendance and participation.
What pathways can MCF3M support?
It supports pathways in business, technology, health sciences, trades, design and other areas where applied mathematics is valuable.
Ready to Take This Course?
$549 / Credit
- Provided by CSW — Canadian School of the World
- Ontario Ministry of Education registered
- Delivered fully online
Need Help Deciding?
Not sure if this is the right course? Book a free 30-minute meeting with a CSW advisor.
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