FUNCTIONS AND APPLICATIONS (MCF 3M1)
GRADE 11, UNIVERSITY/COLLEGE PREPARATION
This course introduces some financial applications of mathematics and extends students' experiences
with functions. Students will solve problems in personal finance involving applications of exponential
function; investigate properties and applications of trigonometric functions; develop facility in operating
with polynomials and exponential expressions: develop an understanding of transformation of functions;
and develop facility in using function notation and in communicating mathematical reasoning.
PREREQUISITE FOR MCF3M1: MPM2D1 OR MFM2P1
STRONGLY RECOMMENDED: 80% in MFM2P1
CATHOLIC SCHOOL EXPECTATIONS:
This course enables students to develop a confident and positive sense of self. Within the setting of a
supportive and caring community, the dignity and value of each student is respected and affirmed.
Through their personal growth in reason, critical thinking and communication, students come to
appreciate their mathematical ability as a God given gift. By sharing their abilities, students contribute to
the good of others, in service to the classroom and school community.
PROGRAM OVERVIEW: The material in MCF3M1 is arranged in the following strands.
A.
B.
C.
Financial Applications of the Exponential Function
Trigonometric Functions
Tools for operating and communicating with functions.
OVERALL EXPECTATIONS FOR EACH STRAND:
A. Financial Applications of
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solve problems involving the exponent laws other than financial problems;
solve problems involving compound interest and annuities;
solve problems involving financial decision making, using spreadsheets or other appropriate
technology
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B. Trigonometric Functions
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solve problems involving the sine law and cosine law;
determine, through investigation, the relationships between the graphs and the equations of
sinusoidal functions;
solve problems involving models of sinusoidal functions drawn from a variety of applications.
C. Tools for operating and communicating with functions
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demonstrate facility in manipulating polynomials and exponential expressions;
demonstrate an understanding of transformations of functions and facility in the use of function
notation;
communicate mathematical reasoning with precision and clarity throughout the course.
CURRICULUM FOCUS will be on:
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the interweaving of related expectations from different strands
the process of inquiry by means of developing mathematical models that describe real- life events
the development of algebraic skills through an inductive or guided discovery process
applications and understanding in addition to recall and skill acquisition using appropriate
technology (the use of spreadsheets, graphing calculators, digital probes, and graphing software
toolkits) to explore and investigate the connections between genuine real-world problems and
their corresponding mathematical model
assessing student performance in the categories of knowledge, problem solving, communication
and applications
REQUIRED MATERIAL: Each student must have: 3 inch binder with dividers, scientific
calculator, pencils, ruler, protractor
EVALUATION:
Term Work
Knowledge and Understanding
70%
Application
30%
Communication
20%
Thinking
20%
Final Assessment
Formal Examination
30%
30%
20%
Culminating Task
10%
Course Total
100%
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Learning Skills and Work Habits:
E= Excellent G=Good S=Satisfactory N= Needs Improvement
Responsibility
Fulfills responsibility and commitments.
Takes responsibility for and manages own behavior.
Organization
Devises and follows a plan and process for completing tasks.
Establishes priorities and manages time
Independent Work
Independently monitors, assesses, and revises plans to complete tasks and meet goals.
Uses class time to complete tasks.
Collaboration
Accepts various roles and an equitable share of work in a group.
Builds healthy peer-to-peer relationships.
Initiative
Looks for and acts on new ideas and opportunities.
Approaches new tasks with a positive attitude.
Self-Regulation
Sets own goals and monitors progress towards achieving them.
Seeks clarification or assistance when needed.
Missed/Late/Incomplete Assignments
It is the student’s responsibility to address missed, late, or incomplete assignments. Students are
expected to complete assignments and to adhere to assignment deadlines as follows:
Due Date
A due date is set by the teacher.
10% Penalty Zone
1 school day late – 3%
2 school days late – 6%
3 school days late – 10%
Maximum penalty of 10%
Closure Date
Once the closure date has passed, work
is considered incomplete and a of zero
applies.
Parent Signature: _______________________Student Signature: ______________________
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