MCF3M – Grade 11 Functions & Applications
Grade 11 Online Mathematics – Ontario Curriculum
Course Overview
MCF3M builds on students’ knowledge of linear and quadratic relations and introduces exponential functions, financial applications, and trigonometric concepts. The course emphasizes real-world modelling and applied mathematical reasoning.
This course prepares students for Grade 12 Mathematics for College (MAP4C) or Grade 12 Mathematics for Work & Everyday Life (MEL4E), and provides the algebraic foundation needed for college business, health, and technology programs.
Units & Major Topics
Unit 1 – Quadratic Relations & Modelling
- Graphing quadratic relations using key features
- Factored, standard, and vertex forms
- Maxima, minima, and optimization problems
- Applying quadratic models to real-life contexts
Unit 2 – Exponential Functions
- Understanding exponential growth and decay
- Comparing linear, quadratic, and exponential models
- Applying exponential equations in financial and scientific contexts
- Graphing functions of the form y = a·bx
Unit 3 – Trigonometry of Acute Triangles
- Review of primary trigonometric ratios
- Sine law (SSS, SSA, SAS cases)
- Cosine law (general triangle solving)
- Applications in surveying, navigation, and design
Unit 4 – Algebraic Skills & Applications
- Solving equations and inequalities
- Working with rational and radical expressions
- Problem-solving with algebraic techniques
- Connecting algebra to real-world scenarios
Unit 5 – Financial Mathematics
- Simple and compound interest
- Loan and investment problems
- Applications to savings, credit, depreciation
- Responsible financial decision-making
Unit 6 – Culminating Task & Final Review
- Consolidation of quadratic, exponential, and trigonometric models
- Mixed review and preparation for the final evaluation
Assessment and Evaluation
The final grade for MCF3M follows the Ontario Ministry evaluation policy: Assessment and evaluation practices are aligned with Growing Success.
- Final grades are based on 70% Term work (assignments, quizzes, tests)
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30% Final evaluation:
- Culminating Task – 10%
- Final Examination – 20%