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Subject Mathematics

Course name: Functions and Applications Course code: (MCF3M)

Grade: 11
Type: University / College Preparation
Language of Study: English
Prerequisites: MFM2P or MPM2D
Course description: This course introduces basic features of the function by extending your experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modelling real-world situations. You will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. You will reason mathematically and communicate your thinking as you solve multi-step problems.
Grade: 11
Type: University / College Preparation
Language of Study: English
Prerequisites: MFM2P or MPM2D
Course description: This course introduces basic features of the function by extending your experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modelling real-world situations. You will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. You will reason mathematically and communicate your thinking as you solve multi-step problems.

Course Lessons

This course is designed for independent study.

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30 Lessons

8 Lessons

1.1   Introducing Quadratic Models

1.2   Factoring Quadratics - Greatest Common Factor

1.3   Factoring Quadratics - Perfect Squared Terms

1.4   Factoring Quadratics - Factoring Trinomials

1.5   Quadratics Assessment AS Learning

1.6   Solving Quadratics by Factoring

1.7   Solving Quadratics using the Quadratic Formula

1.8   Unit 1 Assessment

8 Lessons

2.1   Investigating Function Notation

2.2   Determining Domain and Range

2.3   Exploring Transformations of Quadratic Functions

2.4   Transformations Assessment as Learning

2.5   Converting between Standard Form and Vertex Form

2.6   Sketching and Analyzing Graphs of Quadratic Functions

2.7   Applying Quadratic Models

2.8   Unit 2 Assessment

7 Lessons

3.1   Introducing the Laws of Exponents

3.2   Analyzing Graphs of Exponential Functions

3.3   Solving Problems Involving Exponential Functions

3.4   Exponential Functions Assessment AS Learning

3.5   Financial Literacy Simple and Compound Interest

3.6   Investigating Financial Applications of Exponential Functions (Annuities)

3.7   Unit 3 Assessment

7 Lessons

4.1   Solving Right Triangles

4.2   Exploring the Sine Law

4.3   Solving Problems Using the Cosine Law

4.4   Solving Triangles Assessment AS Learning

4.5   Analyzing Graphs of Periodic Functions

4.6   4.6 Applying the Sine Function

4.7   Unit 4 Assessment