647-568-0258
Advanced Functions, Grade 12, University (MHF4U)
Course Code: MHF4U
Course Type: University Preparation
Delivery Options Available: Online / In Class ( You can only choose one )
Prerequisite: MCR3U – Grade 11 Functions or MCT4C – Grade 12 Mathematics for College Technology
$499.00
All course prices are in CAD – Canadian Dollars
Course Description For Advanced Functions, Grade 12, University (MHF4U)
MHF4U Advanced Functions is a Grade 12 Ontario university math course that builds strong skills in functions, trigonometry, and logarithms for postsecondary success. In particular, students learn how to combine functions, interpret rates of change, and apply these ideas in different contexts.
To build confidence in senior math, students refine key mathematical processes used in Grade 12 courses. This course supports students who plan to take Calculus and Vectors, and it also helps learners strengthen their math foundation before entering a university program.
Summary Of Units And Timelines For Advanced Functions, Grade 12, University (MHF4U)
Below is the suggested sequence of course unit delivery as well as the recommended number of hours to complete the respective unit. For complete details of targeted expectations within each unit and activity, please see each Unit Overview found in the MHF4U course profile.
| Unit | Title | Expectations Summary | Time |
|---|---|---|---|
| 1 | Exponential and Logarithmic Functions | Study exponential–log relationships and key log laws. In addition, graph functions and solve equations for real applications. | 25 Hours |
| 2 | Trigonometric Functions | Work with radian measure and function graphs. Then, apply identities and solve trigonometric equations in context. | 30 Hours |
| 3 | Polynomial and Rational Functions | Connect numeric, algebraic, and graphical models. Moreover, solve equations and inequalities using multiple strategies. | 25 Hours |
| 4 | Characteristics of Functions | Compare functions and rates of change. Finally, perform operations and compositions to model complex situations. | 26 Hours |
| Final | Exam and Summative | Evaluation of all learning | 4 Hours |
What You Will Learn – Curriculum Expectations
- Explore links between exponential and logarithmic expressions.
- Then apply log laws to simplify and evaluate expressions.
- Next, graph and interpret logarithmic functions.
- Finally, solve exponential and logarithmic equations for real-life problems.
- Use radian measure to describe angles and arcs.
- In addition, graph primary and reciprocal trigonometric functions.
- After that, prove and apply key trigonometric identities.
- As a result, solve trigonometric equations in real contexts.
- Analyze and graph polynomial functions of various degrees.
- Meanwhile, study rational functions and asymptotic behaviour.
- Finally, solve rational equations and inequalities using algebra and graphs.
- Determine average and instantaneous rate of change.
- Next, perform operations and compositions of functions.
- Then compare properties across different function families.
- As a result, model and solve multi-step problems using function behaviour.
- 70% – Term Work (assignments, quizzes, unit tests, projects)
- 30% – Final Evaluation (summative + exam)
- 🧠 Knowledge & Understanding – 20%
- 💡 Thinking & Inquiry – 20%
- 🛠 Application – 40%
- 🗣 Communication – 20%
- Direct instruction and teacher-led discussions.
- In addition, use worksheets, brainstorming, and problem-solving tasks.
- Meanwhile, balance independent work with group learning.
- Finally, connect concepts to real examples using technology and visuals.
- 📘 Advanced Functions – McGraw-Hill Ryerson (2008)
- 📘 Advanced Functions – Nelson Education Ltd (2008)
- 🌐 Online tools: GeoGebra, Desmos, YouTube, and reference articles
Ontario Ministry Guidelines: 110-Hour Course Requirement
Please be aware that, as per Ministry guidelines, CanSTEM Education has a mandatory minimum requirement of 2 weeks enrolment for students to be eligible for a midterm report card and 4 weeks enrolment to be eligible for a final report card. This 110-hour requirement ensures that students receive a standardized amount of learning time for each credit they earn. The 110 hours typically include planned learning activities, excluding homework, designed to achieve the course’s curriculum expectations, according to the Ontario Ministry of Education.
Frequently Asked Questions
MHF4U is a Grade 12 Advanced Functions course at a University preparation level.
4U refers to the Grade level of the courses and the pathway. 4 means it is a grade 12 course and U means it is a university preparation course.
Prerequisite: Functions, Grade 11, University Preparation, or Mathematics for College Technology, Grade 12, College Preparation
At CanSTEM Education you can complete a high school credit courses as quickly as 4 weeks, or take as long as 6 months.
Yes, we can send the marks for your courses directly to OUAC, OCAS, your guidance counsellor and to you.
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