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

## Course Details

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.

### UNIT ONE Introduction to Functions

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

In this unit, students will be introduced to functions. Students will analyze the existence of functions, be introduced to function notation and students will graph various types of functions.

Essential Question: How can models be used to make predictions in real-world scenarios?

In this unit, students will be investigating ways to solve quadratic equations, determine the number of solutions to a quadratic equation, and identify information about a quadratic relation by studying their various forms.

### UNIT THREE Solving Quadratic Equations

Essential Question: How can we decide when certain problem-solving strategies should be used over others?

In this unit, students will develop the skills necessary to analyze quadratic functions and relate their findings to real-world contexts. Quadratics are powerful relationships that can be used to understand a variety of real-world phenomena.

### UNIT FOUR Trigonometry

Essential Question: How do effective problem-solvers approach problems that involve multiple steps?

In this unit, students will be reintroduced to SOH CAH TOA, Sine law, and Cosine law and build on them. Students will explore angles and side lengths right angle properties as well as apply the sine and cosine law to solve various real-life applications.

### UNIT FIVE Trigonometric Functions

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

In this unit, students will gain an understanding of trigonometric functions and how they can be used to model phenomenon such as the swinging of a pendulum.

### UNIT SIX Exponential Functions

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

In this unit, students will build on the understanding of basic functions they developed in previous units, extending it to develop an understanding of the key characteristics of exponential functions.

### UNIT SEVEN Financial Applications

Essential Question: Can and should mathematical problem-solving strategies be used to make real-world decisions?

In this unit, students will connect and apply topics of study throughout the course to the concept of finance. The question every math teacher gets at least once per lesson is “when are we ever going to use this!?” The good news is this unit contains real-life applications of most concepts from this course! This unit will apply the knowledge students obtained from the following units: Algebraic Tools, Introduction to Functions and Exponential Functions.

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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