Mathematics

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

Grade: 11

Type: University/College Preparation

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

Grade: 11

Type: University/College Preparation

Prerequisites: None

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

These learning resources support both Teacher led instruction and independent study.

For independent study, Learners may engage in active notebook reflection whenever prompted to participate in Discussions, Partner Activities, or Quizzes. No assignments can be submitted to TVO for grading or credit.

Educators may refer to the For Teachers page for extra information.

These learning resources support both Teacher led instruction and independent study.

For independent study, Learners may engage in active notebook reflection whenever prompted to participate in Discussions, Partner Activities, or Quizzes. No assignments can be submitted to TVO for grading or credit.

Educators may refer to the For Teachers page for extra information.

22 Lessons

6 Lessons

1.1 Introduction to quadratic models

1.2 Factoring quadratics - greatest common factor

1.3 Factoring quadratics - perfect squared terms

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

These learning resources support both Teacher led instruction and independent study.

These learning resources support both Teacher led instruction and independent study.

6 Lessons

1.1 Introduction to quadratic models

1.2 Factoring quadratics - greatest common factor

1.3 Factoring quadratics - perfect squared terms

1.4 Factoring quadratics - factoring trinomials

1.6 Solving quadratics by factoring

1.7 Solving quadratics using the quadratic formula

6 Lessons

2.1 Investigating function notation

2.2 Determining domain and range

2.3 Exploring transformations of quadratic functions

2.5 Converting between standard form and vertex form

2.6 Sketching and analyzing graphs of quadratic functions

2.7 Applying quadratic models

5 Lessons

3.1 Introducing the laws of exponents

3.2 Analyzing graphs of exponential functions

3.3 Solving problems involving exponential functions

3.5 Financial literacy: simple and compound interest

3.6 Investigating financial applications of exponential functions (annuities)

5 Lessons

4.1 Solving right triangles

4.2 Exploring the sine law

4.3 Solving problems using the cosine law

4.5 Analyzing graphs of periodic functions

4.6 Applying the sine function

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

These learning resources support both Teacher led instruction and independent study.

These learning resources support both Teacher led instruction and independent study.

Unit 1 : Introduction to quadratic functions 6 Lessons .chain-link{fill:#3d4649;} .icon-circle{fill:#e6e6e6;}

1.1 Introduction to quadratic models 1.1 Introduction to quadratic models

1.2 Factoring quadratics - greatest common factor 1.2 Factoring quadratics - greatest common factor

1.3 Factoring quadratics - perfect squared terms 1.3 Factoring quadratics - perfect squared terms

1.4 Factoring quadratics - factoring trinomials 1.4 Factoring quadratics - factoring trinomials

1.6 Solving quadratics by factoring 1.6 Solving quadratics by factoring

1.7 Solving quadratics using the quadratic formula 1.7 Solving quadratics using the quadratic formula

Unit 2 : Analyzing quadratic functions 6 Lessons .chain-link{fill:#3d4649;} .icon-circle{fill:#e6e6e6;}

2.1 Investigating function notation 2.1 Investigating function notation

2.2 Determining domain and range 2.2 Determining domain and range

2.3 Exploring transformations of quadratic functions 2.3 Exploring transformations of quadratic functions

2.5 Converting between standard form and vertex form 2.5 Converting between standard form and vertex form

2.6 Sketching and analyzing graphs of quadratic functions 2.6 Sketching and analyzing graphs of quadratic functions

2.7 Applying quadratic models 2.7 Applying quadratic models

Unit 3 : Exponential functions 5 Lessons .chain-link{fill:#3d4649;} .icon-circle{fill:#e6e6e6;}

3.1 Introducing the laws of exponents 3.1 Introducing the laws of exponents

3.2 Analyzing graphs of exponential functions 3.2 Analyzing graphs of exponential functions

3.3 Solving problems involving exponential functions 3.3 Solving problems involving exponential functions

3.5 Financial literacy: simple and compound interest 3.5 Financial literacy: simple and compound interest

3.6 Investigating financial applications of exponential functions (annuities) 3.6 Investigating financial applications of exponential functions (annuities)

Unit 4 : Trigonometry and sinusoidal functions 5 Lessons .chain-link{fill:#3d4649;} .icon-circle{fill:#e6e6e6;}

4.1 Solving right triangles 4.1 Solving right triangles

4.2 Exploring the sine law 4.2 Exploring the sine law

4.3 Solving problems using the cosine law 4.3 Solving problems using the cosine law

4.5 Analyzing graphs of periodic functions 4.5 Analyzing graphs of periodic functions

4.6 Applying the sine function 4.6 Applying the sine function

6 Lessons

1.1 Introduction to quadratic models

1.2 Factoring quadratics - greatest common factor

1.3 Factoring quadratics - perfect squared terms

1.4 Factoring quadratics - factoring trinomials

1.6 Solving quadratics by factoring

1.7 Solving quadratics using the quadratic formula

6 Lessons

2.1 Investigating function notation

2.2 Determining domain and range

2.3 Exploring transformations of quadratic functions

2.5 Converting between standard form and vertex form

2.6 Sketching and analyzing graphs of quadratic functions

2.7 Applying quadratic models

5 Lessons

3.1 Introducing the laws of exponents

3.2 Analyzing graphs of exponential functions

3.3 Solving problems involving exponential functions

3.5 Financial literacy: simple and compound interest

3.6 Investigating financial applications of exponential functions (annuities)

5 Lessons

4.1 Solving right triangles

4.2 Exploring the sine law

4.3 Solving problems using the cosine law

4.5 Analyzing graphs of periodic functions

4.6 Applying the sine function