Fellowes High School
Mathematics Department
FUNCTIONS - MCR3U
COURSE OUTLINE – 2012 fall
TEACHER
O. Sediako
DESCRIPTION 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.
PREREQUISITE Principles of Mathematics, Grade 10, Academic
UNITS
1. Introduction to Functions
Relations and Functions. Characteristics of functions. Domain and range of a function. Inverse functions and their
properties. Transformations of parent functions.
2. Equivalent Algebraic Expressions
Working with Polynomials: adding, subtracting, multiplying, and factoring polynomials. Exploring rational
functions. Working with rational expressions: multiplying. Dividing, adding, and subtracting rational expressions.
3. Quadratic Functions
Properties of Quadratic Functions. Forms of quadratics functions. The inverse of a quadratic function. Quadratic
functions models. Solving quadratic equations. Linear-quadratic systems.
4. Exponential Functions.
Laws of exponents. Integer and rational exponents. Exponential functions. Investigating properties of exponential
functions. Solving problems involving exponential functions: exponential growth, exponential decay.
5. Trigonometry.
Primary trig rations. Trig ratios for special angles. Trig ratios of Acute Angles. Trig Ratios of Any Angle.
Trigonometric identities. Sine Law, Cosine Law. Solving 3-D problems using trigonometric ratios.
6. Sinusoidal Functions.
Periodic functions and their properties. Sine Functions. Transformations of the sine functions. Sinusoidal
models.
7. Discrete Functions
Sequences and Series. Arithmetic and Geometric sequences. Recursive sequences. Arithmetic and Geometric
series. Pascal's Triangle. Binomial theorem.
8. Financial Problems Using Exponential Functions.
Simple Interest. Compound interest: future value, present value. Regular annuities: future value, present value.
Savings plans and loans.
COMPUTER BASED ASSIGNMENTS
• Problems and assignments involving financial decision making, using Excel spreadsheets;
• Problems and assignments involving exploration of functions, using Geometer's Sketchpad and Fathom.
TEXT/ESSENTIAL MATERIALS:
• Functions 11 (Nelson) Cost: $103.95
• Notebook, lined paper, graph paper, scientific calculator, pen, pencil, eraser.
• http://olga-sediako.wikispaces.com/MCR3U
EVALUATION
Ongoing Assessment Tasks
70%
Culminating Assessment
- Final Exam
30%
EXPECTATIONS
Students are expected to do the required work and to take responsibility for their own learning. In addition, students are
expected to attend all classes, to use class time effectively, to complete and submit assignments and homework, to
obtain and complete missed class work during absences, and to write tests on the predetermined dates.
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Student's Signature and Date
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Parent/Guardian's Signature and Date