Royal St. George’s College
Mathematics Department - Abbreviated Course of Study 2013 – 2014
MCR3U/E Functions, University and University (Enriched)
Teachers: G. Doerksen and J. Tam
Course Description:
This course introduces the mathematical concept of the function by extending students' experiences with
linear and quadratic relations. Students will investigate 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.
Topics:
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Rational Expressions
Trigonometry in Obtuse Triangles, Secondary Trig Ratios
Sequences and Series
Quadratic Functions and Transformations of other Functions
Trigonometric Functions (Sinusoids)
Exponential Functions and Financial Applications
Trigonometric Identities
Evaluation:
 The final exam will be worth 30% of your final mark and will cover topics from the entire year.
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The remaining 70% of the final will be determined from your performance on Tests, Mini-Tests, and
Assignments. Evaluations will often have marks allocated to several Ministry categories, i.e., some questions on a
unit test will be designated as Knowledge, others as Application, etc. Their weighting on the final mark is shown
below. All evaluations are recorded online and can be accessed both by you and by your parents online.
 Marks from “quizzes” (either announced in advance or “pop” quizzes) will not be included in the calculation
of the final mark. You will, however, receive feedback on your performance so that you and your teacher can
use the assessment as an indicator of areas of weakness and as a prompt for further study or remediation.
 Mini-tests will give you an opportunity to demonstrate your performance on a smaller set of concepts and/or
skills within a unit of study and the results will be included in the calculation of your final mark.
 Assignments will involve putting together several skills, applying concepts explored in-class and help
students prepare for larger evaluations. Marks are recorded in the Presentation of Reasoning category.
 You must complete your homework on a consistent basis. You will submit your solutions and explain your
solutions during classroom discussions for assessment of your Presentation of Reasoning.
TOTAL
Test
Mini-Tests
Presentation of
Reasoning
Final Exam
TOTAL
40%
20%
10%
30%
100%
70% Cumulative
In-Class Mark
30% Summative
End of Year
Final Mark:
If your final mark is under 50%, you must attend summer school to upgrade your mark or earn a grade 11 mathematics
credit (MCR3U or MCFM). To graduate you must complete three mathematics credits, e.g., grades 9, 10 and 11.
Depending on the program of study, universities require a strong performance in one or several grade 12 courses, e.g.,
MDM4U, MCV4U and MHF4U.
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Expectations
Required Text:
Functions 11 © 2008
Authors: Small, Marian; Kirkpatrick, Chris; Alldred, Dmytriw, Godin et. al.
Publisher: Nelson, Division of Thomson Canada Ltd. ISBN 978-0-17-633203-7
Required Materials:
 Three-ring binder
(not a spiral bound notebook)
 3-hole punched lined and graph paper
 Pencil or pen
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Eraser
Textbook
Graphing Calculator with TVM-Solver e.g.,
TI-84
Notebook
All notes from the board must be carefully copied. Some electronic notes must be downloaded and printed.
Your notes should be dated and organized chronologically. It is your responsibility to ensure that your notes
are complete, i.e., borrow and copy any notes for days that you have missed from a classmate – your teacher
will not provide you with photocopies of notes.
Presentation of Reasoning
Homework
Homework is the foundation of your mathematics education. To acquire and master new skills and concepts,
you must practice and apply them, i.e., you can’t learn how to drive a car by watching or observing someone
else drive - you have to take the wheel yourself. You must do each day’s homework as posted in class and
online. It is your responsibility to find out the homework that was assigned if you are away and to complete it,
e.g., go online, phone a classmate, etc. A solution for every assigned question is a required part of your
homework and will help you prepare for exams and tests. The final answer is NOT considered a complete
solution – you must show your reasoning/work.
Problematic questions may be discussed the following class. Solutions are often evaluated as part of your
mark, so you should start your homework the day it is assigned and use the day in between to get help if
necessary. Copy the correct solution and write comments/suggestions to yourself to avoid making the same
error again, e.g., “sin–10.8672 doesn’t mean sin-1.8672”
Assignments
The timely submission of work is a key component of the evaluation of all assignments. You may ask your
teacher for an extension, but you must do so at least 2 days before the deadline, e.g., extensions are not
granted by email the night before a deadline. If your assignment is incomplete or not ready by the deadline,
the mark will be set to 0. You will lose 5% per day late up to a maximum of 20%; however, an assignment
that is submitted after the first corrected assignment or solution is handed back in class will not be evaluated
and is assigned a mark of 0.
Missed Tests, Mini-Tests, Quizzes
If you know you will miss a test in advance, e.g., doctor’s appointment, athletics, you must speak to your
teacher in advance. If you miss an evaluation without prior notification, you will receive a mark of zero. If the
absence is legitimate, you should be prepared to write the first day back. Tests and mini-tests are part of your
mark but quizzes are used for feedback only so they appear online as “assessment”.
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