Ascension of Our Lord Secondary School
Mathematics
Course Code:
Course Name:
Level:
MCF3M1
Functions and Applications
Grade 11 University/College
Course Overview
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.
Strands
The Grade 11 university/college preparation course, Functions and Applications, shares a focus on functions
with the university preparation course, Functions. The Functions and Applications course is designed for
students who plan to pursue technology-related programs in college. This course also prepares students for
some university programs. Unlike the university preparation course, this course revisits some of the important
concepts developed in Grade 10. The first strand, Quadratic Functions, extends knowledge and skills related
to quadratics for students who completed the Grade 10 applied mathematics course and reviews this topic for
students entering from the Grade 10 academic course. The strand also introduces some of the properties of
functions. The other two strands, Exponential Functions and Trigonometric Functions, emphasize real-world
applications and help students develop the knowledge and skills needed to solve related problems.
Units of Study
Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Introduction to the Quadratic Function
The Algebra of Quadratic Expressions
Working with Quadratic Functions: Standard and Factored Forms
Working with Quadratic Models: Standard and Vertex Forms
Trigonometry and Acute Triangles
Sinusoidal Functions
Exponential Functions
Solving Financial Problems Involving Exponential Functions
Assessment and Evaluation
The mark for the course will be based upon on-going or term work (70%) and a final assessment (30%) that
includes a final exam (20%) and a culminating performance task (10%).
The on-going or term work may include written assignments, reports, unit tests, and quizzes. Within the two
areas, term work and final assessment, marks will be assigned using the four categories specified in the Ontario
Curriculum Grades 9 to 12 Mathematics Education.
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Knowledge/Understanding
30%
Knowledge of facts, technical terminology,
procedures and standards
Understanding of concepts
Understanding of relationships between concepts
Thinking
20%
Thinking skills and inquiry design skills
Identifying problems, planning, formulating questions,
selecting strategies and resources
Communication
20%
Communication of information for different purposes
Use of language, symbols and visuals
Use of various forms of communication
Application
30%
Application of skills in familiar contexts and
transfer of concepts to new contexts
Application of procedures and technology
Expectations of Students
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Students will be in complete uniform.
The student is to be in the class when the bell rings, prepared to work with all required materials, including
a calculator.
The student is to keep a complete and organized notebook with dividers to separate units.
Students are responsible for catching up on missed work and obtaining any notes/handouts.
The student will initiate the process for extra help if required.
Treat classmates/teacher the way you would like to be treated.
Should you have any questions or concerns, please contact the teacher at (905) 676-1287.