Ascension of Our Lord Secondary School
Mathematics
Course Code:
Course Name:
Level:
MCR3U1
Functions
Grade 11 University Preparation
Course Overview
This course introduces the mathematical concept of the function by extending the students’ experiences with
linear and quadratic relations. Students will investigate the 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.
Strands
Characteristics of Functions
• Representing Functions
• Solving Problems Involving Quadratic Functions
• Determining Equivalent Algebraic Expressions
Exponential Functions
• Representing Exponential Functions
• Connecting Graphs and Equations of Exponential Functions
• Solving Problems Involving Exponential Functions
Discrete Functions
• Representing Sequences
• Investigating Arithmetic and Geometric Sequences and Series
• Solving Problems Involving Financial Applications
Trigonometric Functions
• Determining and Applying Trigonometric Ratios
• Connecting Graphs and Equations of Sinusoidal Functions
• Solving Problems Involving Sinusoidal Functions
Units of Study
Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Algebraic Tools for Operations with Functions
Quadratic Functions and Equations
Transformations of Functions
Trigonometry
Trigonometric Functions
Exponential Functions
Sequences and Series
Compound Interest and Annuities
Assessment and Evaluation
The mark for the course will be based upon on-going or term work (70%) and a final assessment (30%).
The on-going or term work may include written assignments, reports, unit tests, and quizzes. Within the two
areas, term work and final assessment, marks will be assigned using the four categories specified in the Ontario
Curriculum Grades 9 to 12 Mathematics Education.
Knowledge/Understanding
30%
ƒ Knowledge of facts, technical terminology,
procedures and standards
ƒ Understanding of concepts
ƒ Understanding of relationships between concepts
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Thinking
20%
Thinking skills and inquiry design skills
Identifying problems, planning, formulating questions,
selecting strategies and resources
Communication
20%
Communication of information for different purposes
Use of language, symbols and visuals
Use of various forms of communication
Application
30%
Application of skills in familiar contexts and
transfer of concepts to new contexts
Application of procedures and technology
Expectations of Students
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Students will be in complete uniform.
The student is to be in the class when the bell rings, prepared to work with all required materials, including
a calculator.
Students are responsible for the textbook assigned to him/her at the start of the course. If the book is lost
or stolen, the student is required to pay $80 to replace the book.
The student is to keep a complete and organized notebook with dividers to separate units.
Students are responsible for catching up on missed work and obtaining any notes/handouts.
The student will initiate the process for extra help if required.
Treat classmates/teacher the way you would like to be treated.
Should you have any questions or concerns, please contact the teacher at (905) 676-1287.