Preston High School, Mathematics Department
MCF 3MI, Functions and Applications
Course Handout, 2015 – 2016
Course Description: 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 modeling
real-world situations. Students will represent functions numerically, graphically, and algebraically; simplify
expressions; solve equations; and solve problems relating to financial and trigonometric applications. Students will
reason mathematically and communicate their thinking as they solve multi-step problems.
Course Code:
Grade:
Course Title:
Prerequisite:
Ministry Guidelines:
Textbook:
Teacher:
Website:
MCF 3MI
Course Type: University/College Preparation
11
Credit Value: 1
Functions and Applications
Principles of Mathematics, Grade 10, Academic, or
Foundations of Mathematics, Grade 10, Applied
The Ontario Curriculum, Grades 11 and 12: Mathematics 2007
Functions and Applications, Nelson, 2008
Mr. Rexhepi
http://www.mrrexhepi.com
Course Outline
Unit Title and Essential Learning Requirements
Quadratic Functions
 Manipulate quadratic expressions, solve quadratic equations, and relate roots of a
quadratic to a corresponding graph
 Understand connections between various representations of quadratic functions
 Solve problems involving quadratic functions
Exponential Functions
 Simplify and evaluate numerical expressions involving exponents and make connections
between various representations of exponential functions
 Solve problems involving exponential functions
 Demonstrate an understanding of compound interest and annuities and solve problems
Trigonometry
 Solve problems using sine and cosine law
 Demonstrate an understanding of periodic relationships, the sine function and make
connections between the various representations of the sine function
 Solve problems involving sine functions
Essential Course Components
To be successful in this course you must be able to demonstrate all of the essential learning requirements as stated
in the table above.
Assessment/Evaluation:
Tests/Quizzes/Assignments
70%
Final Evaluation
30%
The assessment/evaluation methods are based on the achievement chart found in the Provincial Curriculum
documents.
1
Course Topics
Term 1
Approximate Number of Periods
Functions
11
Quadratic Expressions
9
Quadratic Functions & Equations
8
Quadratic Formula & Applications
12
Term 2
Trigonometry
Graphs of Trigonometric Functions
Exponential Functions
Financial Applications
10
12
10
8
Exam Review
5
Procedures
Late and Missing Assignments: It is important for students to develop good personal management skills (such as
time management and planning). These skills will be reflected in the learning skills area of the report card. All of
the above listed skills/assignments in the core elements checklist must be submitted and/or demonstrated in order
to earn this credit.
Attendance: Attendance in classes is an important part of learning, and absences should be avoided. When a
student is absent, a parent/guardian must call the school’s attendance line on the date of absence, or provide a
note explaining the absence for the student to submit the following day. Students are responsible for what they
missed during their absence.
Cheating and Plagiarism: It is important for students to do their own best work. Most assignments for this class
are done within the classroom, observed by the teacher, and this helps to minimize the chances of cheating and
plagiarism. In the event that cheating or plagiarism occurs, the following consequences may be implemented, in
consultation with administration, depending on the situation:
1. The student may be required to redo all or part of the assignment or assessment.
2. The student may be required to complete an alternate assignment or assessment.
3. The student’s work may be treated as a missed assignment.
There may also be other consequences that are determined to be appropriate (e.g. detention, suspension, etc.) as
per the school’s progressive discipline process. Parents/guardians will be informed about the infraction and the
consequences.
Please refer to your student handbook for more details on these policies and other academic procedures.
Signatures
Please sign below indicating you have read and understand the requirements for successful completion of this
course.
Student
Parent/Guardian
Date
Date
2