Subject
Mathematics
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
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.
TVO Learn supports families and educators with curriculum-aligned resources, some
of which are being upgraded for content and accessibility. Thank you for your patience.
TVO Learn supports families and educators with curriculum-aligned resources, some
of which are being upgraded for content and accessibility. Thank you for your patience.
This course is designed for independent study.
To review the lessons, please visit this page with a computer or tablet.
30 Lessons
8 Lessons
1.1
Introducing Quadratic Models
1.1
Introducing 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
1.5
Quadratics Assessment AS Learning
1.5
Quadratics Assessment AS Learning
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
1.8
Unit 1 Assessment
1.8
Unit 1 Assessment
8 Lessons
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
2.4
Transformations Assessment as Learning
2.4
Transformations Assessment as Learning
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
2.8
Unit 2 Assessment
2.8
Unit 2 Assessment
7 Lessons
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
3.4
Exponential Functions Assessment AS Learning
3.4
Exponential Functions Assessment AS Learning
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)
3.7
Unit 3 Assessment
3.7
Unit 3 Assessment
7 Lessons
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
4.4
Solving Triangles Assessment AS Learning
4.4
Solving Triangles Assessment AS Learning
4.5
Analyzing Graphs of Periodic Functions
4.5
Analyzing Graphs of Periodic Functions
4.6
4.6 Applying the Sine Function
4.6
4.6 Applying the Sine Function
4.7
Unit 4 Assessment
4.7
Unit 4 Assessment