# MCR3U Course Outline - William Academy Online

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```WILLIAM SCHOOL
COURSE PROFILE/UNIT PLAN
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Course Name:
Course Code:
Teacher:
Functions, Grade 11, University Preparation
MCR3U
Mr. Michael Kim
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OVERVIEW:
This course introduces the mathema0cal concept of the func0on by extending students' experiences with linear and quadra0c rela0ons. Students will inves0gate proper0es of discrete and con0nuous func0ons, including trigonometric and exponen0al func0ons; represent func0ons numerically, algebraically, and graphically; solve problems involving applica0ons of func0ons; inves0gate inverse func0ons; and develop facility in determining equivalent algebraic expressions. Students will reason mathema0cally and communicate their thinking as they solve mul0-&shy;‐step problems. !
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Unit Description
No. of Hours
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Unit No./Title
Unit 1 –
Characteristics
of Functions
Unit 2 –
Exponential
Functions
Unit 3 -Trigonometric
Ratios
Students will explore functions in this unit, their
representations, and their inverses, and how to make
connections between the algebraic and graphical
representations of functions using transformations. Students
will learn how to 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. By the end of the unit students will be
able to demonstrate an understanding of equivalence as it
relates to simplifying polynomial, radical, and rational
expressions
This unit will explore several topics including evaluating
powers with rational exponents, simplifying expressions
containing exponents, and describing properties of exponential
functions represented in a variety of ways. The emphasis will
be on problem solving using these concepts.
This unit concentrates students' attention on determining the
values of the trigonometric ratios for angles less than 360&ordm;;
proving simple trigonometric identities and solving problems
using the primary trigonometric ratios. The sine law and the
cosine law are developed.
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25 hours
24.5 hours
15 hours
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Unit 4 –
Trigonometric
Functions
Unit 5 -Discrete
Functions
Students will learn to demonstrate an understanding of periodic 18 hours
relationships and sinusoidal functions, and make connections
between the numeric, graphical, and algebraic representations
of sinusoidal functions while solving problems involving
sinusoidal functions, including problems arising from realworld applications. Students will also investigate the
relationship between the graphs and the equations of sinusoidal
functions sketching and describing the graphs and describing
their periodic properties.
The unit begins with an exploration of recursive sequences and
how to represent them in a variety of ways. Making
connections to Pascal's triangle, demonstrating understanding
of the relationships involved in arithmetic and geometric
sequences and series, and solving related problems involving
compound interest and ordinary annuities will form the rest of
the unit
Review and
Final
Evaluation
The final assessment task is a proctored two and half hour
exam worth 30% of the student's final mark.
25 hours
2.5 hours
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ASSESSMENT AND EVALUATION METHODS:
METHODS (MAY INCLUDE MAJOR EVALUATIONS)
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Unit Activities
Assignments
Tests
Quizzes
Exam
ASSESSMENT CATEGORIES AND WEIGHTS AND EVALUATION
ACHIEVEMENT CHART
CATEGORIES
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EVALUATION/WEIGHT OF
MARKS
Achievement
Category
Percentage
Evaluation
Percentage
Knowledge
20
Term Evaluation
70
Thinking/Inquiry
30
Communication
20
Application
30
Final Evaluation
Exam
30
Academic Dishonesty - Cheating and Plagiarism:
Learning tasks that students complete, as well as all assignments, tests and exams
which students submit for evaluation must be their own work. Cheating and
plagiarism is a serious offence which will not be condoned. Academic consequences
will result.
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Late and Missed Evaluations - Student Roles and Responsibilities
Students are expected to:
• be responsible for providing evidence of their achievement of the overall
expectations within the time frame specified by the teacher, and in a form
approved by the teacher;
• understand that there will be consequences for not completing evaluations;
• use class time productively;
• in extenuating circumstances, request a deferment from the teacher before the
due date.
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