MCR3U, Functions – Grade 11 University Preparation, is a high school mathematics course that builds on students’ understanding of functions and their applications. The course explores different types of functions, including polynomial, rational, trigonometric, exponential, and logarithmic functions, with a focus on their properties, transformations, and real-world applications. Students learn to analyze and manipulate functions using algebraic techniques, graphing methods, and technology. Key concepts include function notation, domain and range, inverse functions, and rates of change, preparing students for advanced mathematics in Grade 12 and beyond. This course emphasizes problem-solving, logical reasoning, and mathematical modeling to develop critical thinking skills essential for university-level studies.
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MCR3UU1C1S1 Function Presentation -
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MCR3UU1C1S1 Function Presentation -
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MCR3UU1C1S1 Function Presentation -
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MCR3UU1C1S1 Function Presentation -
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MCR3UU1C1S2 Function Notation
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MCR3UU1C1S2 Function Notation
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MCR3UU1C1S2 Function Notation
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MCR3UU1C1S2 Function Notation
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MCR4UU1C1S3 Domain and Range
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MCR4UU1C1S3 Domain and Range
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MCR4UU1C1S3 Domain and Range
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MCR4UU1C1S3 Domain and Range
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MCR3UU1C1S4 Inverse Relation
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MCR3UU1C1S4 Inverse Relation
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MCR3UU1C1S4 Inverse Relation
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MCR3UU1C1S4 Inverse Relation
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NCR3UU1C1S5 Domain and Range of the Inverse Functions
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MCR3UU1S5 - Transformations of Parent Functions
This lesson on Transformations of Parent Functions for Grade 11 Academic Math teaches students how to modify basic function graphs through shifts, stretches, compressions, and reflections. It introduces the transformation formula ( (x, y) rightarrow left(frac{x}{} + h, ay + bright) ) and applies it to five core functions: linear, quadratic, square root, absolute value, and rational. The lesson features 5 detailed examples with real-world applications, 5 challenging practice problems with solutions, and a comprehensive Q&A section summarizing key concepts. Students learn to analyze and graph complex functions by starting from parent functions, developing essential skills for advanced mathematics through practical, application-focused problems.
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NCR3UU1C1S5 Domain and Range of the Inverse Functions
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NCR3UU1C1S5 Domain and Range of the Inverse Functions
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MCR3UU1C1S6 Graphing Technology
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MCR3UU1C1S6 Graphing Technology
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MCR3UU1C1S6 Graphing Technology
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MCR3UU1C1S6 Graphing Technology
Notice: MCR3U – Functions (Grade 11, University Preparation)
Students enrolled in MCR3U – Functions will explore a variety of functions and their applications in real-world and mathematical contexts. This course covers polynomial, rational, trigonometric, exponential, and logarithmic functions, focusing on graphing, transformations, and problem-solving. Students will develop their algebraic skills, understand rates of change, and work with inverse functions.
It is recommended that students have successfully completed Grade 10 Academic Math (MPM2D) before taking this course. A strong foundation in algebra and problem-solving skills will be beneficial.
Regular practice, participation, and the use of technology (such as graphing tools and calculators) will be essential for success. If you have any questions or require additional support, please reach out to your teacher. Let’s have a great semester exploring functions!
