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Grade 11
150+ Students

MCF3M – Grade 11 Functions and Applications Online Course (Ontario)

MCF3M is Ontario’s Grade 11 university/college-preparation Functions and Applications course, a 1.0 M credit that counts toward the three compulsory mathematics credits (one must be Grade 11 or 12) and leads to MCT4C or MAP4C in Grade 12, keeping both college technology and college business pathways open. Its strands are Quadratic Functions, Exponential Functions, and Trigonometric Functions. Students learn what makes a relation a function and find domain, range and inverses, expand, factor and solve quadratics and connect roots to graphs, model growth and decay with exponential functions, solve acute triangles with the sine and cosine laws, graph the sine function from real periodic data, and calculate compound interest and annuities. The prerequisite is MPM2D or MFM2P. Ontario eSecondary School (OES) offers MCF3M fully online and self-paced, taught by Ontario Certified Teachers.

Credit: 1.0
Prerequisite: MPM2D or MFM2P
110 course hours
Registration open year-round

💻 Fulfills OSSD Online Graduation Requirement

MCF3M introduces basic features of the function by extending students’ experiences with quadratic relations. Throughout MCF3M, students will explore three fundamental function types: quadratic, trigonometric, and exponential. Students will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. Students in MCF3M will reason mathematically and communicate their thinking as they solve multi-step problems.

110 course hours
Assignments
Final Exam
Interactive Submissions
Language: English
24/7 Tutoring
Developed by: A. Haque (OCT)
College, University
Prerequisite: MPM2D or MFM2P

MCF3M Course outline — 4 units, 110 hours

Full unit-by-unit breakdown.

Functions and relations · domain and range · inverses · expanding and factoring · solving quadratic equations · roots and the graph · applications

Distinguish functions from relations and express domain and range, apply those ideas to linear, quadratic and radical functions, find the inverse of a linear or quadratic function, and expand, simplify and factor quadratic expressions, solve quadratic equations and relate their roots to the graph.

Key topics

Functions and relations · domain and range · inverses · expanding and factoring · solving quadratic equations · roots and the graph · applications

Assessed by

Quadratics and polynomials assignment · factored form application · functions and quadratics assignment · Unit 1–2 problem set (25% combined)

Exponent laws · exponential functions and their graphs · transformations · growth and decay models · comparing function families

Express and investigate exponential functions with calculators, paper and pencil and graphing technology, compare them with functions studied earlier, connect representations through graphing and transformations, and model real-world growth and decay.

Key topics

Exponent laws · exponential functions and their graphs · transformations · growth and decay models · comparing function families

Assessed by

Unit 2 mini assignment · midterm conference with your teacher · Unit 2 assignment 2 (25% combined)

Sine law and cosine law · oblique triangles in 2D and 3D · periodic functions · cycle, amplitude and period · the sine function and the unit circle

Describe key properties of periodic functions arising from real-world applications, such as cycle, amplitude and period, connect the sine and cosine functions to the unit circle, and pose and solve problems involving right and oblique triangles in two and three dimensions using the primary ratios, the sine law and the cosine law.

Key topics

Sine law and cosine law · oblique triangles in 2D and 3D · periodic functions · cycle, amplitude and period · the sine function and the unit circle

Assessed by

Unit 3 assignment (10%)

Apply exponential functions to money: compare simple and compound interest, calculate compound interest and the future value of annuities using formulas and technology, and solve problems comparing financial options. Review the course ahead of the final exam.

Key topics

Compound interest · annuities and future value · comparing financial options · course review

Assessed by

Unit 4 assignment · exit conference with your teacher (5%)

MCF3M Functions and Applications
Grade 11 · College, University

How the final mark is calculated from September 2026

65% Coursework
25% Final written exam
5% Attendance
5% Participation
Domestic Student Fee

$595.00

International Student Fee

$895.00

ALL STUDENTS RECEIVE
24/7 Tutoring
Proctored Final Exam
Fast Track
Includes Priority Exam Scheduling

Fully online and self-paced

MCF3M

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FAQ About %course-code%.

Supported by Ontario Certified Teachers

MCF3M is the Grade 11 University/College math course that introduces functions through a practical, applications-first lens. Students work with quadratic, exponential, and trigonometric functions using real-world problems. It suits students headed to college programs or university programs that don’t require Advanced Functions.

The prerequisite for MCF3M is Grade 10 math — either MPM2D (Academic) or MFM2P (Applied). That makes MCF3M the natural university/college-pathway option for students coming from MFM2P, and a lighter alternative to MCR3U for students from MPM2D.

MCF3M emphasizes applying functions to real problems and accepts either Grade 10 math course, while MCR3U is more abstract and requires MPM2D. The key pathway difference: MCR3U leads to MHF4U and MCV4U; MCF3M leads to MDM4U (Data Management) or MCT4C. Choose based on which Grade 12 math your goals require.

After MCF3M you can take MDM4U (Mathematics of Data Management, University) or MCT4C (Mathematics for College Technology). Note that MCT4C is itself an accepted prerequisite for MHF4U — so a MCF3M → MCT4C → MHF4U route exists if your plans change toward programs requiring Advanced Functions.

MCF3M meets the Ministry of Education’s attendance and participation expectations through activities blended directly into the course. OES requires students to log in at least once per week for attendance, and participation activities appear throughout the course and are reflected in the grade book — preserving self-paced flexibility while satisfying the requirements for online courses.

Many university programs in business, social science, and the humanities accept MDM4U as their math requirement, and MCF3M qualifies you for MDM4U. However, competitive business and all STEM programs typically want MHF4U (and often MCV4U) — check each program on OUAC before choosing your Grade 11 math.

Yes. Many students take one or two OES courses alongside their regular day school to free up a timetable, resolve a conflict, or work ahead. OES notifies your day school and your MCF3M mark is added to your Ontario Student Transcript. The course is self-paced with year-round registration, so it fits around your existing schedule.

Yes. Ontario students who started Grade 9 in the 2020–21 school year or later must earn at least two online learning credits to graduate, and MCF3M at OES — a Ministry-inspected online school (BSID #667186) — counts toward that requirement. An opt-out process exists through school boards, and specific provisions apply to students affected by the 2021 school closures.

Yes — mathematics is one of Ontario’s STEM-related course groups (business studies, computer studies, cooperative education, mathematics, science, and technological education), from which students entering Grade 9 in 2024 or later must complete one credit. For math and science, the credit counts when earned in addition to your compulsory math and science credits, so MCF3M can double as your STEM-group credit.

Ontario’s Growing Success policy pre-determines the evaluation structure for every credit. Beginning in the 2026–27 school year, MCF3M is graded on classroom work completed throughout the course (65%) plus a Ministry-mandated final evaluation worth 25% for Grades 11–12, with attendance and participation also reflected in the final grade. A credit is granted at 50% or higher — and as an inspected private school, OES may administer final evaluations online, while school-board online courses generally require in-person exam sittings.

Book a Free 15-Min Guidance Call
Domestic Student Fee

$595.00

International Student Fee

$895.00

ALL STUDENTS RECEIVE
24/7 Tutoring
Proctored Final Exam
Fast Track
Includes Priority Exam Scheduling