Subject
Subject: Mathematics
Grade: 12
Credits:1.0
Type: College Preparation
Language of Study: English
Course description:
Investigate and apply properties of various functions; represent functions in different ways; simplify expressions, and solve multi-step problems. This course prepares you for college technology programs. Preview Course
Interested in taking this course?
- If you are a student already enrolled in an Ontario High School, please contact your school about taking courses with TVO ILC.
- If your goal is to earn a high school diploma or if you are a homeschool student, an academic assessment of your application must be done before choosing courses, please visit Apply Now to start your application.
Grade: 12
Credits:1.0
Type: College Preparation
Language of Study: English
Course description: Investigate and apply properties of various functions; represent functions in different ways; simplify expressions, and solve multi-step problems. This course prepares you for college technology programs. Preview Course
Course fees are partially subsidized for most Ontario residents. The administrative fee covers the cost for us to process your application.
Interested in taking this course?
- If you are a student already enrolled in an Ontario High School, please contact your school about taking courses with TVO ILC.
- If your goal is to earn a high school diploma or if you are a homeschool student, an academic assessment of your application must be done before choosing courses, please visit Apply Now to start your application.
Course Overview
This course enables you to extend your knowledge of functions. You will investigate and apply properties of polynomial, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, vectors, and geometry. You will reason mathematically and communicate your thinking as you solve multi-step problems. This course prepares you for a variety of college technology programs.
Course Preview
Course Syllabus
1.1
Polynomial functions and their graphs
1.1
Polynomial functions and their graphs
1.2
Graphs of Polynomial Functions
1.2
Graphs of Polynomial Functions
1.3
Polynomial Functions in Factored Form
1.3
Polynomial Functions in Factored Form
1.4
Polynomial formulas
1.4
Polynomial formulas
1.5
Factoring Polynomials
1.5
Factoring Polynomials
1.6
Solving Problems Using Polynomials
1.6
Solving Problems Using Polynomials
2.1
Exponential functions
2.1
Exponential functions
2.2
Intersections and applications of exponential functions
2.2
Intersections and applications of exponential functions
2.3
Solving exponential equations
2.3
Solving exponential equations
2.4
Logarithms
2.4
Logarithms
3.1
Trigonometry basics
3.1
Trigonometry basics
3.2
Two- and Three-Dimensional Trigonometric Applications
3.2
Two- and Three-Dimensional Trigonometric Applications
3.3
Introduction to Sinusoidal Functions
3.3
Introduction to Sinusoidal Functions
3.4
Transformations of sinusoidal functions
3.4
Transformations of sinusoidal functions
3.5
Applications of sinusoidal functions
3.5
Applications of sinusoidal functions
4.1
Vectors and their components
4.1
Vectors and their components
4.2
Adding and subtracting vectors
4.2
Adding and subtracting vectors
4.3
Area and volume
4.3
Area and volume
4.4
Circles and their properties
4.4
Circles and their properties
4.5
Applications of circle geometry
4.5
Applications of circle geometry