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| Global School. Educational Innovation

| BSID 882692

Functions and Applications (MCF3M)

Course Code

MCF3M

Location

Ottawa - Ontario - Canada

+500 students approved this course

About the course

This course introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modeling real-world situations. Students will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems. Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007

Overrall expectations

By the end of the course you will:

Quadratic Functions

By the end of this course, students will:

  • Expand and simplify quadratic expressions, solve quadratic equations, and relate the roots of a quadratic equation to the corresponding graph;
  • Demonstrate an understanding of functions, and make connections between the numeric, graphical, and algebraic representations of quadratic functions;
  • Solve problems involving quadratic functions, including problems
    Arising from real-world applications.
Exponential Functions

By the end of this course, students will

  • Simplify & Evaluate Numerical Expressions involving exponents, & make connections between the numeric, graphical, & algebraic representations of exponential functions;
  • Identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications;
  • Demonstrate an understanding of compound interest and annuities, and solve related problems.
Trigonometric Functions

By the end of this course, students will

 

  • solve problems involving trigonometry in acute triangles using the sine law & the cosine law, including problems arising from real-world applications;
  • demonstrate an understanding of periodic relationships and the sine function, and make connections between the numeric, graphical, and algebraic representations of sine functions;
  • identify and represent sine functions, and solve problems involving sine functions, including problems arising from real-world applications.

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