MCR3U
Functions
This Grade 11 university preparation mathematics course introduces the concept of a function by extending students’ experience with linear and quadratic relations. Students investigate properties of quadratic, exponential and trigonometric functions and apply their understanding to model real-world relationships.
Grade
11
Credit
1.0
Delivery
Online
Prerequisite
MPM2D
About This Course
This Grade 11 university preparation mathematics course introduces the concept of a function by extending students’ experience with linear and quadratic relations. Students investigate properties of quadratic, exponential and trigonometric functions and apply their understanding to model real-world relationships.
What You'll Learn
- Understand functions, representations, inverses and transformations.
- Analyze quadratic functions and solve problems involving zeros, maxima and minima.
- Work with exponential functions, growth and decay, and related applications.
- Use trigonometric ratios, identities and sinusoidal functions to model periodic relationships.
- Analyze recursive, arithmetic and geometric sequences and series.
- Apply functions and sequences to financial mathematics and other real-world contexts.
Skills You'll Develop
- Algebraic manipulation and functional reasoning
- Graphing and transformations
- Trigonometric modelling
- Sequences, series and financial applications
- Multi-step problem solving and mathematical communication
Learning Outcomes
By the end of the course, students will be able to:
- Understand functions, their representations, inverses and transformations.
- Solve problems involving quadratic functions and simplify polynomial, radical and rational expressions.
- Represent and solve problems involving exponential functions.
- Understand recursive, arithmetic and geometric sequences and series and connect them to financial applications.
- Use trigonometric ratios and identities for angles less than 360 degrees.
- Understand periodic relationships and represent sinusoidal functions.
- Communicate mathematical reasoning using algebraic, graphical, numeric, tabular and verbal representations.
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 | Functions | 16 hours |
| 2 | Transformations of Functions | 17 hours |
| 3 | Exponential Functions | 14 hours |
| 4 | Trigonometry | 15 hours |
| 5 | Trigonometric Functions | 15 hours |
| 6 | Discrete Functions | 17 hours |
| 7 | Financial Applications | 14 hours |
| Final | Mandatory Written Final Examination | 2 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, reflecting the student's most consistent achievement with special consideration for more recent evidence. |
| Mandatory written final examination | 25% | Written final examination administered 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 unit tests, problem-solving tasks, investigations, assignments, mathematical demonstrations, written explanations, graphing tasks and final evaluations.
Pathways
Students connect functions, modelling, algebra, trigonometry, sequences and financial mathematics to postsecondary pathways and careers in mathematics, engineering, computer science, science, business, economics, finance and data analysis.
MCR3U provides the mathematical foundation for Grade 12 advanced functions and calculus courses.
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.
- Explicit instruction and worked examples are followed by guided and independent practice.
- Dynamic graphing, spreadsheet and calculator tools help students visualize functions and patterns.
- Math talk, questioning, conferencing and explanation of reasoning support precise mathematical communication.
- Differentiated support, targeted tutorials, cumulative review, error analysis and opportunities to revisit prior learning support student progress.
Frequently Asked Questions
What is the course code?
MCR3U — Functions, Grade 11, University Preparation.
What is the prerequisite?
Principles of Mathematics, Grade 10, Academic (MPM2D).
How many credits is MCR3U?
The course is worth 1.0 Ontario secondary school credit.
What types of functions are studied?
The course includes quadratic, exponential, trigonometric and sinusoidal functions, along with discrete functions and sequences.
How is the final grade calculated?
65% course work, 25% mandatory written final examination, and 10% attendance and participation.
Does MCR3U include financial mathematics?
Yes. Financial applications are included as a planned unit and connect sequences and functions to real-world decision making.
What pathways does MCR3U support?
It supports pathways in mathematics, engineering, computer science, science, business, economics, finance and data analysis.
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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