This course extends students’ knowledge of functions. Students will investigate and apply properties of polynomial, exponential, and trigonometric functions.
Courses Type: College Preparation
Prerequisite: MCR3U, Grade 11 Functions or MCF3M, Grade 11 Functions and Applications
This course encourages students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, vectors, and geometry.
MCT4C Online Course Outline and Timeline
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 MCT4C course profile.
| Unit Order | Unit Name | Suggested Time |
|---|---|---|
| Unit 1 | Trigonometric Ratios and Vectors | 30 Hours |
| Unit 2 | Sinusoidal Functions | 16 Hours |
| Unit 3 | Solve Exponential Equations | 16 Hours |
| MID SEMESTER POINT | ||
| Unit 4 | Polynomial Functions | 30 Hours |
| Unit 5 | Geometry | 16 Hours |
| FINAL | Final Exam | 2 Hours |
| View Sample GradebookTotal | 110 Hours |
Please note, as per Ministry guidelines, OVS has a mandatory 14 day minimum requirement for student enrollment to be eligible for a midterm report card and 28 days enrollment to be eligible for a final report card.
Fundamental Concepts Covered in Grade 12 Mathematics Online Course
The Grade 12 college preparation course Mathematics for College Technology provides excellent preparation for success in technology-related programs at the college level. It extends the understanding of functions developed in the Grade 11 university/college preparation course, Functions and Applications, using a more applied approach, and may help students who decide to pursue certain university programs to prepare for the Grade 12 university preparation course Advanced Functions. Exponential and trigonometric functions are revisited, developing algebraic skills needed to solve problems involving exponential equations and extending the skills associated with graphical representations of trigonometric functions. The Polynomial Functions strand extends to polynomial functions concepts that connect graphs and equations of quadratic functions. Finally, students apply geometric relationships to solve problems involving composite shapes and figures and investigate the properties of circles and their applications.