MCR3U
Course Profile & Evaluation
Course Description/Rationale/Overview
This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic
relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential
functions; represent functions numerically, algebraically and graphically; solve problems involving applications of functions;
investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason
mathematically and communicate their thinking as they solve multi-step problems.
Class Requirements
Calculator, scientific (graphing
calculators would be useful for some
class work but are not allowed for
tests and the exam).
Student Responsibility
Students must seek assistance from
fellow students and the teacher for all
work missed due to absence and must
make arrangements to complete
missed work.
Course Requirements/Department Policies
Late Assignments
Late assignments must be accompanied with a note signed by a parent or
guardian stating the reason for tardiness of the assignment. The note must list the
due date of the assignment and the actual date of submission.
If an assignment is handed in after it has been taken up/handed back, the
student may not receive a mark for it.
Missed Tests
It is the student’s responsibility to make arrangements, ahead of time, for any
tests/quizzes that are missed. If a student misses a test/quiz for an unforeseen reason
such as illness, the student must bring a note signed by a parent or guardian and be
prepared to write the test/quiz immediately upon return to school.
Assessment Strategies
Homework, tests, quizzes, assignments, and examination
Curriculum Strands and Weighting
A.
B.
C.
D.
Characteristics of Functions
Exponential Functions
Discrete Functions
Trigonometric Functions
Evaluation
Quizzes & Assignments
Tests
Final Evaluation
15 % – 20 %
50 % – 55 %
30 %
Achievement Categories
 Knowledge & Understanding
 Application
 Problem Solving & Inquiry
 Communication
Learning Skills
25%
25%
10%
10%
•
•
•
•
•
•
Works Independently
Team work
Organization
Work Habits
Initiative
Self – Regulation
FINAL MARK
Year’s Work:
Final Summative Evaluation
70%
30%
MCR3U
Course Profile & Evaluation
Course Outline
A. Characteristics of Functions
1.
2.
3.
Demonstrate an understanding of functions, their representations, and their inverses, and make connections between
the algebraic and graphically representations of functions using transformations;
Determine the zeros and the maximum or minimum of a quadratic function, and solve problems involving quadratic
functions, including problems arising from real-world applications;
Demonstrate an understanding of equivalence as it relates to simplifying polynomial, radical and rational expressions.
B. Exponential Functions
1.
2.
3.
Evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of
exponential functions represented in a variety of ways;
Make connections between the numeric, graphical, and algebraic representations of exponential functions;
Identify and represent exponential functions, and solve problems involving exponential functions, including problems
arising from real-world applications.
C. Discrete Functions
1.
2.
3.
Demonstrate an understanding of recursive sequences, represent recursive sequences in a variety of ways, and make
connections to Pascal’s triangle;
Demonstrate an understanding of the relationships involved in arithmetic and geometric sequences and series, and
solve related problems;
Make connections between sequences, series, and financial applications, and solve problems involving compound
interest and ordinary annuities.
D. Trigonometric Functions
1.
2.
3.
Determine the values of the trigonometric ratios for angles less than 360º; prove simple trigonometric identities; and
solve problems using the primary trigonometric ratios, the sine law, and the cosine law;
Demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the
numeric, graphical, and algebraic representations of sinusoidal functions;
Identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including problems
arising from real-world applications.