MCF3M – Functions and Applications

Categories: GRADE 11
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About Course

This course explores the fundamental features of functions, building on students’ understanding of quadratic relationships. It emphasizes quadratic, trigonometric, and exponential functions, highlighting their applications in modeling real-world scenarios. Students will learn to represent functions through numerical, graphical, and algebraic methods; simplify expressions; solve equations; and tackle practical problems. Additionally, the course fosters mathematical reasoning and effective communication as students navigate multi-step problem-solving.

What Will You Learn?

  • Quadratic Functions:
  • Understand the properties of quadratic functions and their applications in solving real-world problems.
  • Trigonometric Functions:
  • Explore trigonometric functions and their role in modeling periodic phenomena.
  • Exponential Functions:
  • Learn about exponential growth and decay and how to apply these concepts in various contexts.
  • Function Representation:
  • Represent functions numerically, graphically, and algebraically to analyze and interpret their behavior.
  • Simplifying Expressions:
  • Develop skills to simplify complex mathematical expressions.
  • Solving Equations:
  • Solve quadratic, trigonometric, and exponential equations using various techniques.
  • Real-World Applications:
  • Apply mathematical concepts to model and solve real-life problems effectively.
  • Mathematical Reasoning:
  • Enhance critical thinking and reasoning skills to approach multi-step problems.
  • Communication of Ideas:
  • Learn to articulate mathematical thinking clearly and effectively.

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