MHF4U Grade 12 Advanced Functions Course (University)

MHF4U online is one of over 160 secondary school courses that Blyth Academy Online offers.

Courses Offered


PREREQUISITE: Functions, Grade 11, University Preparation, or Mathematics for College Technology, Grade 12, College Preparation

GRADE: 12 (University)

AVAILABILITY: Full-time – All Campuses, Part-time – All Campuses, Private – All campuses, Summer School – Accelerated, Blyth Academy Online



Summer School sessions begin in July & August
Summer School 2021


MHF4U Course Overview

MHF4U extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. MHF4U online is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs. Whether students complete this grade 12 course online or on campus, the MHF4U course extends students’ experience with advanced functions and prepares students for the next steps in their mathematics education.

MHF4U Course Outline

Below is a course outline for the MHF4U online course. The Ministry of Education in Ontario sets the MHF4U curriculum, ensuring that students learn the same concepts and skills whether they complete the MHF4U course in person or online. MHF4U is a Grade 12 course at a University preparation level.

Mathematical processes are integrated into student learning throughout all areas of the course. Students will foster a variety of skills, including:

  • Solving problems through the development, selection, application, comparison, and adaptation of various problem-solving strategies.

  • Reasoning and proving, such as the development and application of reasoning skills in order to make and assess mathematical conjectures and justify conclusions.

  • Reflecting on and monitoring thinking to clarify understanding while completing investigations and solving problems, such as by assessing a chosen strategy’s effectiveness, proposing alternative approaches, etc.

  • Selecting tools and computational strategies to use various concrete, visual, and electronic learning tools and appropriate strategies.

  • Making connections between mathematical concepts, skills, and procedures.

  • Creating representations of mathematical ideas, such as numeric, algebraic, and pictorial representations.

  • Communicating mathematical thinking orally, visually, and in writing by using precise mathematical language and appropriate representations.

Though our physical doors remain temporarily closed, the minds of our students stay open. Summer classes are continuing to meet on their regular daily schedules, in virtual classrooms with face-to-face instruction and peer interaction.  The Blyth Academy model of small class sizes, flexible scheduling and individualized approach have enabled us to remain faithful to our standards. Our commitment to ongoing and meaningful communication between school, teachers, students and families has been critical to this effort.

Although our students have transitioned into summer mode and COVID-19 restrictions have begun to loosen, we are looking ahead to what September will hold for our campuses and families.
We want to be clear - our preference and our priority is to get students back to our campuses, but we must ensure this is done in a safe and effective way. While we await official guidance from Public Health and the Ministry of Education, a "return to school" task force has been hard at work putting concrete operational plans in place for all likely scenarios. This includes a full return to campus with safeguards, a blended model of virtual and in-campus learning and the continuation of fully virtual classrooms. All scenarios will provide robust learning and live, daily instruction and interaction with teachers and peers. 
With ten campuses across Ontario, we realize that each one of our schools is a unique space and community. We will be implementing across-the-board policies on hand washing, facility cleaning and social distancing measures. Each school is also prepared to pivot individually based on the guidance of local health authorities and to best serve students and families. 
Our recent survey showed that over 80 per cent of Blyth Academy families are eager to return to campuses, and we are hard at work to prepare for this day. As September's scenario becomes clearer and more information becomes available, we will continue to communicate. 

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