MHF4U: Advanced Functions, Grade 12

MHF4U is based on Mathematics, The Ontario Curriculum, Grades 11 and 12, Ministry of Education, 2006. It is comprised of six units, five of which have from nine to ten activities (lessons and assignments). The first five units are term work; the final unit is the culminating task and includes a final examination.

Grade 12, University Preparation

This course 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. This course is intended both for students who plan to study mathematics in university and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.

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

Credit Value: 1

Required Text: none

Course Forum

For the Curriculum Expectation Please click Here

Required Software, Equipment, Textbooks

Some of the activities in this course will require the installation of some free software "plugins" on your computer. Normally, the computer will prompt you to install the plugin when you need it, but if you want to install them ahead of time, you can use the links below. Installing these plugins is easy, and you will be given step by step instructions. Click on the links below to take you to the install pages. Please note that some of these installs can take some time if you are using a dial up Internet connection.

Geometer's Sketchpad
During this course you will be required to use a program called Geometer's Sketchpad. This is a dynamic geometry program which can be downloaded for free.If you are unfamiliar with Sketchpad, you can view an online tutorial at Atomic Learning. Here there are over 50 online tutorials on using sketchpad. They require the use of the Quicktime movie viewer which can be downloaded at Also, throughout the course, as you encounter the sketchpad files, solutions will follow. In the beginning units, these solutions will be more explicit in how to use sketchpad, but those instructions will diminish as you go through the course.

During this course you will also be required to use a program called Fathom. You can download if for free from Microsoft. If you are unfamiliar with Fathom, you can view a walkthrough guide and online tutorials at Key Press website.

Other Free Graphing technology
If you do not currently have graphing software installed on your computer, please take the time to install some before beginning this course. Some popular options, are: GeoGebra, GraphCalc, Winplot, and QuickGraph. The first two are the main ones that will be used in this course.

Java Runtime Environment
This program is needed to run a variety of applets in this course. Download the Java applets now.

This software is a handy tool for preparing flowchart types of diagrams. It is a piece of software that is licensed to school boards in Ontario. If you work from home there are many free and online tools that can be used if you conduct a web search for ‚Äúmind mapping software‚ÄĚ.

Apple QuickTime
QuickTime lets you add digital video media capabilities and components to your Mac or PC. Download Apple QuickTime .

Shockwave, Flash, and Authorware
Macromedia's Shockwave, Flash and Authorware Player plugins let you experience automation and entertainment in your Web browser. Download Shockwave, Flash and Authorware software.

Adobe Acrobat Reader
Free software that lets you view, print, search, and share Adobe Portable Document Format (PDF) files more securely using a variety of platforms and devices. Download Adobe Acrobat Reader .

Real Networks RealPlayer
Play online audio and video content. Download Real Networks RealPlayer

Microsoft Media Player
Windows Media Player supports Windows Media (WMA,ASF), MP3, WAV, MIDI, AVI, and other formats. Download Microsoft MediaPlayer.

Teachers will be flexible in terms of what a student uses to complete work, as long as the work meets the expectations of the assignment and can be submitted electronically in a standard format.

Course Content

Course Outline

Unit 1
1 of 2
Not Enrolled

Course Includes

  • 21 Lessons
  • 20 Quizzes