This course introduces the concept of functions, building on students’ knowledge of linear and quadratic relationships. Students will explore the properties of discrete and continuous functions, including trigonometric and exponential functions. They will learn to represent functions numerically, algebraically, and graphically, solve real-world problems using functions, investigate inverse functions, and simplify algebraic expressions. Throughout the course, students will develop mathematical reasoning and communicate their thinking while solving multi-step problems.
Curriculum
- 1 Section
- 5 Lessons
- 18 Weeks
Expanse all sectionsCollapse all sections
- Unit -1- CHARACTERISTICS OF FUNCTIONSChapter 1 Representing Functions13
- 1.0MCR3U U1 Ch1 – Using the Vertical Line Test to Determine if a Graph is a Function
- 1.1MCR3U U1 Ch1 Using the Vertical Line Test to Determine if a Graph is a Function10 Questions
- 1.2MCR3U U1 Ch1 Determine Whether Each Relation is a Function or not.
- 1.3MCR3U U1 Ch1 Determine Whether Each Relation is a Function or not Quiz10 Minutes10 Questions
- 1.4MCR3U U1 Ch1 Assignment 1
- 1.5MCR3U U1 Ch1 3 Function Notation10 Minutes
- 1.6MCR3U U1 Ch1 3 Function Notation10 Minutes10 Questions
- 1.7MCR3U U1 Ch1 Assignment 2
- 1.8MCR3U U1 Ch1 4 The Domain and Range of Functions15 Minutes
- 1.9MCR3U U1 Ch1 4 The Domain and Range of Functions Quiz10 Minutes10 Questions
- 1.10MCR3U U1 Ch1 4 Assignment 3
- 1.11MCR3U U1 Ch1 4 The Domain and Range of Functions-2
- 1.12MCR3U U1 Ch1 4 The Domain and Range of Functions-210 Minutes3 Questions
Requirements
- Grade 10 Academic Mathematics (MPM2D)
- Mathematical Tools and Skills
- Scientific or Graphing Calculator (e.g., TI-83 or TI-84 series is recommended)
- Access to graphing software or online tools (optional but useful for visualizing functions)
- Notebook or binder for taking notes and solving practice problems
Features
- Introduction to Functions
- Problem-Solving and Applications
- Properties of Functions
- Algebraic Skills Development
- Trigonometric and Exponential Functions
- Graphing Techniques
- Mathematical Reasoning
- Preparation for Advanced Mathematics
- Assessment and Evaluation
- Integration of Technology
Target audiences
- Preparing for University Programs
- Academically Oriented Students
- Interested in Problem-Solving and Mathematical Reasoning
- Meeting Graduation and Post-Secondary Admission Requirements
- Planning Careers in STEM Fields (Engineering, Data Science, Actuarial Science Software, Development Scientific Research)
- Highly Motivated and Disciplined Learners
This course makes Math easy