W ATERLOO C OLLEGIATE I NSTITUTE
300 Hazel Street, Waterloo ON, N2L 3P2 (519) 884-9590
Functions, Grade 11, 2015-2016
Course Code MCR 3UI
Period tbd
Classroom 408
Office Location 402 wci.wrdsb.ca
Teacher Mrs. Schnute-Klaassen
Additional Availability 20 min before school starts
Contact Info 519-884-9590 ext. 402 Math Office
Important Website http://teachers.wrdsb.ca/schnuteklaassen
This course introduces the mathematical concept of a 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.
Characteristics of Functions: By the end of this course, students will:
 Demonstrate an understanding of functions, their representations, and their inverses, and make connections between the algebraic and graphical representations of functions using transformations;


Determine the zeroes and the maximum or minimum of a quadratic function, and solve problems involving quadratic functions;
Demonstrate an understanding of equivalence as it relates to simplifying polynomial, radical and rational expressions.
Exponential Functions: By the end of this course, students will:

Evaluate powers with rational exponents, simplify expressions, and describe properties of exponential functions;
 Make connections between the numeric, graphical, and algebraic representations of exponential functions;
 Identify, and represent exponential functions, and solve problems involving exponential functions.
Trigonometric Functions: By the end of this course, students will:
 Determine the values of the trigonometric ratios for angles ,prove trigonometric identities and solve problems using the primary trigonometric ratios, sine law and the cosine law;
 Demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between numeric, graphical and algebraic representations of sinusoidal functions;
 Identify and represent sinusoidal functions, and solve problems involving sinusoidal functions.
Discrete Functions: By the end of this course, students will:

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 and series, and financial applications, and solve problems involving compound interest and ordinary annuities.

W ATERLOO C OLLEGIATE I NSTITUTE
300 Hazel Street, Waterloo ON, N2L 3P2 (519) 884-9590
Unit Title wci.wrdsb.ca
Algebraic skills: Rational Expressions
Transformations of Functions
Quadratic Functions
Exponential Functions
Trigonometric Ratios
Trigonometric Functions
Trigonometric Identities
Sequences and Series
Financial Applications
Final Exam Review
Semester 1
(approx)
Semester 2
(approx)
Timing
(approx)
September February 10 classes
October
October
November
February
March
March
13 classes
12 classes
11 classes
November
Nov/Dec
December
April
April
May
11 classes
12 classes
6 classes
December
January
January
May
June
June
9 classes
5 classes
7 classes
Overall, coursework will be worth 70% and summative evaluations 30%. A specific breakdown of assessments is below:
Assessment Breakdown
Characteristics of
Functions
✭
✭
✭
Exponential
Functions
✭
✭
✭
Trigonometric Functions Discrete Functions
Weight (%)
✭ ✭
70
✭ ✭
✭ ✭
30

W ATERLOO C OLLEGIATE I NSTITUTE
300 Hazel Street, Waterloo ON, N2L 3P2 (519) 884-9590 wci.wrdsb.ca
See the “Late and Missed Assessments” policy in the WCI Student Planner.
If you miss an assessment in this course due to a valid absence, you will complete a makeup test. See the teacher immediately upon your return to school to schedule the make-up test.
See the “Cheating and Plagiarism” policy in the WCI Student Planner.
The development of learning skills and work habits is an integral part of your learning. The achievement of these skills is officially reported on the Provincial Report Card. The learning skills on which you are evaluated are Responsibility,
Organization, Independent Work, Collaboration, Initiative, and Self-Regulation. The scale that is used for this evaluation are E - Excellent, G - Good, S - Satisfactory, and N - Needs Improvement.
In this course, excellent learning skills look like this:
1.
Responsibility:
○ Being prepared at the start of class with a pencil, eraser, ruler, paper and calculator.
○ Letting your teacher know if you will be away during a test, quiz or assignment.
○ Completing class work and homework.
○ Takes responsibility for and manages own behaviour
○ Takes responsibility for missed classes.
2.
Organization:
○ Keeping your notebook and study notes organized.
○ Keeping track of important dates.
3.
Independent Work:
○ Follows instructions to complete tasks.
○ Uses class time effectively to complete tasks.
4.
Collaboration:
○ Sharing your ideas, resources, expertise and listening to group discussions.
○ Working well with others when asked or offering help to another student.
5.
Initiative:
○ Approaches new tasks with a positive attitude.
○ Arranging times to make up tests, quizzes or assignments outside of class.
○ Demonstrates curiosity and interest in learning.
6.
Self-Regulation:
○ Seeks clarification or assistance when needed.
○ Being respectful of all people in the class.
○ Perseveres and makes an effort when responding to challenges.