MCR3U（11年级函数）Grade: Grade 11 Course name: Functions Course code: MCR3U Course Type: PreUniversity Credit value: 1.0 Pilot course: MPM2D Course Description This course introduces the mathematical concept of the function by extending students' experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multistep problems.
Overall Curriculum Expectations
Teaching and Learning Strategies: The overriding aim of this course is to help students use the language of mathematics skillfully, confidently and flexibly, a wide variety of instructional strategies are used to provide learning opportunities to accommodate a variety of learning styles, interests, and ability levels.The following mathematical processes are used throughout the course as strategies for teaching and learning the concepts presented. • Problem Solving: This course scaffolds learning by providing students with opportunities to review and activate prior knowledge (e.g. reviewing concepts related to trigonometry from prior mathematics courses), and build off of this knowledge to acquire new skills. The course guides students toward recognizing opportunities to apply knowledge they have gained to solve problems.
• Selecting Tools and Computational Strategies: This course models the use of spreadsheet software and a TVM solver for personal finance to familiarize students with available software and resources which will allow them to simplify calculations in order to better and more accurately manage money.
• Connecting: This course connects the concepts taught to realworld applications, such as simple harmonic motion and sound or light waves.
• Representing: Through the use of examples, practice problems, and solution videos, the course models various ways to demonstrate understanding, poses questions that require students to use different representations as they are working at each level of conceptual development  concrete, visual or symbolic, and allows individual students the time they need to solidify their understanding at each conceptual stage.
• SelfAssessment: Through the use of interactive activities (e.g. multiple choice quizzes, and draganddrop activities) students receive instantaneous feedback and are able to selfassess their understanding of concepts.
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11年级课程
