Dufferin-Peel CDSB - Holy Name of Mary Catholic Secondary School

MCF 3M1: FUNCTIONS, UNIVERSITY/COLLEGE, GRADE 11

Description:

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 modelling 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.

Credit Value: 1.0

Prerequisite: MPM 2D1 or MFM 2P1

Course Text: Functions and Applications 11, Nelson

Replacement Cost: $80

Strand

Overall Expectations

Quadratic Functions

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 those arising from real-world applications.

Exponential Functions

simplify and evaluate numerical expressions involving exponents, and make connections between the numeric, graphical, and algebraic representations of exponential functions;
identify and represent exponential functions, and solve problems involving exponential functions, including those arising from real-world applications;
demonstrate an understanding of compound interest and annuities, and solve related problems.

Trigonometric Functions

solve problems involving trigonometry in acute triangles using the sine law and 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 those arising from real-world applications.

Other Courses:

MAT 1L1 MFM 1P1 MPM 1D1 MAT 2L1 MFM 2P1 MPM 2D1 MBF 3C1 MCF 3M1 MCR3U1 MAP 4C1 MDM 4U1 MHF 4U1 MCV 4U1

Strand	Overall Expectations
Quadratic Functions	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 those arising from real-world applications.
Exponential Functions	simplify and evaluate numerical expressions involving exponents, and make connections between the numeric, graphical, and algebraic representations of exponential functions; identify and represent exponential functions, and solve problems involving exponential functions, including those arising from real-world applications; demonstrate an understanding of compound interest and annuities, and solve related problems.
Trigonometric Functions	solve problems involving trigonometry in acute triangles using the sine law and 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 those arising from real-world applications.