# MCF3M Functions And Applications – Grade 11 (University/College)

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

THE ONTARIO CURRICULUMMathematics

## Course Overview

MCF3M online introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modelling real-world situations. Students will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations, and solve problems relating to applications. In MCF3M online, students will reason mathematically and communicate their thinking as they solve multi-step problems.

Essential Question: How can observed patterns be used to make predictions about unknown quantities?

In this unit, students will investigate the concept of a function and make connections to their understanding of quadratic relations from previous studies. The concepts of domain and range will be explored, as well as how transformations can be applied to produce a variety of quadratic functions.

Essential Question: How does representing expressions in different ways help to solve problems?

In this unit, students will develop strategies for representing trinomial expressions in different forms. Students will then learn to select the appropriate strategy for any given problem. These skills are important and considered foundational for the remainder of this course and future mathematics studies.

### UNIT THREE Trigonometric Functions

Essential Question: What are the implications of using models to make predictions? Is it possible to develop a model that is entirely accurate?

This unit begins with a reintroduction to the trigonometry concepts developed in previous mathematics studies. These concepts will be extended and combined with students' new understanding of functions to explore the key properties of trigonometric functions, and their applicability to real-world problems.

### UNIT FOUR Exponential Functions

Essential Question: How can growth and decay models be used to understand real-world phenomena?

In this unit, students will identify specific characteristics of exponential functions that can be observed both graphically and algebraically, while making comparisons to other familiar functions. Students will then analyze and solve real-world scenarios involving financial applications such as compound interest and annuities.

Please consult our Frequently Asked Questions Page or the Exam section within your course for more details on final exams and the exam fee. More information can also be found in our Student Handbook.

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