LISGAR COLLEGIATE INSTITUTE
DEPARTMENT: Math and Technology
COURSE NAME: Gr. 11 University Math
COURSE CODE: MCR3U
OVERVIEW
This course is designed for students intending on pursuing university courses where math is an integral part of the
material; engineering, physics, computer science, etc. 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 the ability
to determine equivalent algebraic expressions .
COURSE OUTCOMES
A. CHARACTERISTICS OF FUNCTIONS
A.1. demonstrate an understanding of functions, their representations, and their inverses, and make connections
between the algebraic and graphical representations of functions using transformations;
A.2. 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;
A.3. demonstrate an understanding of equivalence as it relates to simplifying polynomial, radical, and rational
expressions.
B. TRIGONOMETRIC FUNCTIONS
B.1. 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;
B.2. demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections
between the numeric, graphical, and algebraic representations of sinusoidal functions;
B.3. identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including
problems arising from real-world applications.
C. EXPONENTIAL FUNCTIONS
C.1. evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of
exponential functions represented in a variety of ways;
C.2. make connections between the numeric, graphical, and algebraic representations of exponential functions;
C.3. identify and represent exponential functions, and solve problems involving exponential functions, including
problems arising from real-world applications.
D. DISCRETE FUNCTIONS
D.1. demonstrate an understanding of recursive sequences, represent recursive sequences in a variety of ways, and
make connections to Pascal’s triangle;
D.2. demonstrate an understanding of the relationships involved in arithmetic and geometric sequences and series,
and solve related problems;
D.3. make connections between sequences, series, and financial applications, and solve problems involving
compound interest and ordinary annuities.
E. COMMUNICATIONS (COM)
concise, well-organized, written explanation (which may include an appropriate diagram) of solution;
use of mathematical language with a high degree of clarity to explain and justify solutions;
use of appropriate mathematical terminology, symbols, and conventions
F.
EXTRA
material that is not specific to any of the above outcomes, but consider as a prerequisite or reach ahead.
EVALUATION
TERM
The TERM MARK will be worth 70% of the final grade and will be based on the following outcomes (weighted evenly):
1. Characteristics of Functions (Chapter 3, 4)
2. Trigonometric Functions (Chapter 5, 6)
3. Exponential Functions
4. Discrete Functions (Chapter 1, 2)
5. Communications
*Within each Chapter, evaluations will be broken down into the categories of knowledge, application, communication
and TIPS (Thinking, Inquiry, Problem Solving)
SUMMATIVE
The summative portion of this course is worth 10% of the final grade.
EXAM
The final exam is written during the formal exam period and covers all the course material and is worth 20% of the final
grade.
ASSESSMENT METHODS
Quizzes, tests, in class assignments
SUPPLEMENTARY NOTES
MISSING A TEST/PRESENTATION
1) If you know ahead of time that you will be away for a test/presentation (e.g., school sports), alternative arrangements
must be made with your teacher before the test/presentation date.
2) An unexpected absence from a test/quiz (e.g., illness) must be explained by a parental note or medical certificate. A
note must justify your absence from a class test within two (2) school days of your return to school or a mark of zero
will be assigned.
3) There is no make-up test/quiz/in class assignment in this course. The weighting of the final evaluation will be
increased in proportion to the justified missed test(s). This policy applies only to tests missed for legitimate reasons
ABSENCES FROM CLASS
You are responsible for catching up on class notes and completing any assignments for which you were absent. If you
are absent for class work, you are still responsible for understanding the material, and arranging for time to make up the
work.