MATHEMATICS DEPARTMENT
Course Code: MCF3M
Course Name: Functions and Applications
Level: Grade 11 University/College Preparation
Instructor:
Period:
Room Number:
Course Overview:
This course introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic,
trigonometric, and exponential functions and their use in modelling real-world situations. Students will represent functions numerically,
graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. Students will reason
mathematically and communicate their thinking as they solve multi-step problems.
Connection to our Catholic Faith:
Students will apply Catholic values to pose and solve problems, to make logical decisions, and to become critical thinkers who share their
abilities for the benefit of all in their classroom and school community. A supportive mathematics classroom provides a caring and sensitive
environment where the dignity and value of all students is respected and affirmed as they grow in confidence in their mathematical
Specific
Strands
of Study
and
Expectations
abilities.
Mathematical
investigations
will promote
a respect
for God’s creationinclude:
and an understanding of the need to use resources wisely. A
student will become self-directed, responsible and life-long learner in the mathematics classroom.
Specific Strands of Study and Expectations include:
QUADRATIC FUNCTIONS:

Expand and simplify quadratic expressions, solve quadratic equations, and relate the roots of a quadratic equation to the corresponding
graph;

Demonstrate an understanding of functions, and make connections between the numeric, graphical, and algebraic representations of
quadratic functions;

Solve problems involving quadratic functions, including problems arising from real-world applications.
1. Solving Quadratic Equations
2. Connecting Graphs and Equations of Quadratic Functions
3. Solving Problems involving Quadratic Functions
EXPONENTIAL FUNCTIONS:

Simplify and evaluate numerical expressions involving exponents, and make connections between the numeric, graphical, and algebraic
representations of exponential functions;

Identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from realworld applications;

Demonstrate an understanding of compound interest and annuities, and solve related problems.
1. Connecting Graphs and Equations of Exponential Functions
2. Solving Problems involving Exponential Functions
3. Solving Financial Problems involving Exponential Functions
TRIGONOMETRIC FUNCTIONS:

Solve problems involving trigonometry in acute triangles using the sine law and the cosine law, including problems arising from realworld applications;

Demonstrate an understanding of periodic relationships and the sine function, and make connections between the numeric, graphical,
and algebraic representations of sine functions;

Identify and represent sine functions, and solve problems involving sine functions, including problems arising from real-world
applications.
1. Applying the Sine Law and the Cosine Law in Acute Triangles
2. Connecting Graphs and Equations of Sine Functions
3. Solving Problems involving Sine Functions
Efforts will be made to meet the individual learning needs of students in order to ensure these
expectations are met.
are being
met.
Course
Breakdown
Resources: The course will use a variety of resources including video, CD-
to ensure
these
Chapter
1:
Introduction to the Quadratic
Chapter 2:
Chapter 3:
Chapter 4:
Chapter 5:
Chapter 6:
Chapter 7:
Chapter 8:
Function
The Algebra of Quadratic
Expressions
Working with Quadratic Functions
Working with Quadratic Models
Trigonometry and Acute Triangles
Sinusoidal Functions
Exponential Functions
Solving Financial Problems
Involving Exponential Functions
ROM, Internet Applications and a variety of print sources. The textbook,
Nelson, Functions and Applications 11, will be distributed to students during
the first week of the course. The text and all other resources assigned to
students are the responsibility of the student. Any damage incurred will result
in payment for replacement ($85.00).
Evaluation Structure:
Knowledge/Understanding
30 %
Application
30 %
Communication
20 %
Thinking
20 %
The above is reflected both in the term work (worth 70% of the final mark) and
the summative work (worth 30% of the final mark). Summative work consists
of the Final Exam and a Culminating Activity.
Evaluation Policy Students will be assessed & evaluated according to the work produced & skills displayed. Methods of providing
feedback will include assessing work in process & evaluating completed assignments, tests, co-operative learning activities, simulations
and presentations. Peer & self-evaluations will also be utilized. Student marks will be determined by evaluating process & product
according to 4 categories & 4 levels. Please see the chart below for specific skills and key words used to determine student competency
in the different categories.
Level
Level 1:
Level 2:
Level 3:
Level 4:
Category
50-59%
60-69%
70-79%
80-100%
Knowledge/Understanding
-Limited display
-Some success
-Considerable
-Thorough
of
knowledge,
in
displaying
display
of
understanding of
 Knowledge of facts & terms
knowledge,
knowledge skills
concepts and
 Understanding of concepts & relationships skills and ability
to apply
skills and
and ability to apply ability to
Thinking/Inquiry
concepts
application of
concepts
communicate,
 Critical thinking skills
concepts
think creatively
 Creative thinking skills
and apply concepts
 Inquiry Skills
Communication
 Communication of ideas and information
 Use of symbols & visuals
 Oral & written communication
Application
 Applications in familiar contexts
 Transfer of concepts to new contexts
 Making logical conclusions and predictions
 Use of technology
 Making connections
Feedback will also be provided for student learning skills. Skills such as responsibility, organization, independent work, collaboration, initiative and self
regulation are assessed independently student achievement and will be conducted through the use of a rubric indicating specific criteria to be
achieved to receive each of the following letter grades:
E –Excellent
G – Good
S – Satisfactory
N - Needs Improvement
Other Evaluation Issues





LATE ASSIGNMENTS. Assignments submitted after the Primary Due Date established by the teacher will be accepted with a penalty
of 5% off for the first day late and 2% for subsequent days to a maximum of 10%. This four day Penalty Zone is the maximum time
allowed for submissions. The fourth day after the assignment is due is considered the Closure Date upon which no further
assignments will be accepted. If the teacher returns the marked assignments within the four day penalty zone, the date of return is
considered the closure date. Repeated lateness in submissions indicates poor organization skills and will result in parental contact
and will be reflected in the learning skills section of the report card.
INCOMPLETE ASSSIGNMENTS Assignments will be graded according to the extent with which they meet the criteria established in
the rubric or evaluation structure.
MISSED TESTS Tests missed with a legitimate reason will be written within a few days of the student returning from the absence.
Student eligibility to write the test and the date of writing will be at the discretion of the teacher in consultation with the
department head.
CULMINATING ACTIVITIES These activities will be due toward the end of the course. They are valued between 5 and 15 per cent of
the final mark and will reflect course material and competencies not otherwise reflected on the final exam.
Plagiarism in any form reflects academic dishonesty and will result in a mark of zero for the assignment in question