September 2012 - 2013 MCR3U
Course Outline:
GR11 FUNCTIONS
Algebraic Expressions!...........14
Functions!.......................24
Trigonometric Ratios!............16
Trigonometric Functions!.........14
Sequences and Series!............12
Exponential Growth!..............16
Financial Applications!..........14
Instructors:
Gerry Doerksen
Alex Shum
Nick Van Herk (enriched)
REQUIRED EQUIPMENT
Pencil, Eraser, Binder, Lined and Graph Paper, Ruler
TI-84 Graphing Calculator
MCR3U 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.
FINAL MARK
If your final mark is under 50%, you must
attend summer school to upgrade your mark
or earn a different grade 11 mathematic credit.
To graduate you must complete three
mathematics credits, e.g., grades 9, 10 and 11.
Some university programs not only require
that you complete one or several grade 12
courses, e.g., MDM4U, MCV4U and
MHF4U, but that you also earn an excellent
mark in the course(s).
A man too
proud to ask for
directions
is often lost
[1]
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
hrs
hrs
hrs
hrs
hrs
hrs
hrs
MCR3U
and your teacher can find your areas of strength and
EVALUATION
The Final Exam will be worth 30% of your final mark
and will cover topics from the entire year.
GR11MATH
The remaining 70% of the final will be determined
from your performance on Tests, Mini-Tests, and
your Reasoning (homework and presentations in
class). Evaluations will also have marks allocated to
Ministry categories. Some questions on a unit test
will be designated as Knowledge, others as
Application, Communication or Thinking etc.
Calculation of your final mark is shown below. All
weakness. Use quizzes as a prompt for you for
further study and/or extra-help. These marks appear
online as “Assessment” but are not included in your
overall mark.
Mini-tests will give you an opportunity to
demonstrate your performance on a smaller set of
ideas and skills. You will often write one or more
mini-tests before a unit test. Results of tests and
mini-tests will be included in the calculation of your
final mark.
evaluations can be viewed online both by you and
Projects involve putting together several skills,
by your parents.
applying concepts explored in-class in creative and/
Marks from “quizzes” (either announced in advance
or “pop” quizzes) will not be included in the
calculation of the final mark. You will, however,
or working with a partner or group, e.g., collecting
data and presenting a report on your analysis of the
results.
receive feedback on your performance so that you
NOTEBOOK
REASONING (assignments)
All notes from the board must be carefully copied.
Submit your assignments on time. You may ask
Electronic notes must be downloaded and printed.
your teacher for an extension, but you must do so
Your notes should organized chronologically. Make
at least well before the deadline, e.g., extensions
sure your notes are complete, i.e., borrow, copy or
are generally not granted by email the night before a
download notes you have missed.
deadline or in person the day it’s due. If your
assignment is incomplete or not ready by the
deadline, the mark will be set to 0. You will lose 5%
REASONING (homework)
To acquire and master new skills, you must practice
and apply them, i.e., sitting back and having
someone explain a problem to you doesn’t mean
you can solve it yourself. Each day’s homework is
posted on the whiteboard in class and online. It is
OPTIMISM is not
about being
positive...
per day late up to a maximum of 20%. Any
assignment that is submitted after the corrections or
solution are handed back in class will not be
evaluated and is assigned a 0.
your responsibility to find out the homework that
MISSED TESTS, MINI-TESTS
was assigned if you are away and to complete it,
If you know you will miss a test in advance, e.g.,
e.g., go online, phone a classmate, etc. A full
doctor’s appointment, athletics, you must speak to
solution for every assigned question is a required
your teacher in advance. You and your teacher can
part of your homework and will help you prepare for
determine a convenient time for you to catch-up. If,
exams and tests. The final answer is NOT
however, you miss an evaluation without prior
considered a complete solution – you must show
notification, you will receive a mark of zero. If the
your reasoning/work.
absence is legitimate, be prepared to write it the
Problematic questions are always discussed the
very first day back even if you don’t have math
following class. Solutions are often evaluated as
class that day - you don’t get an extra day to study.
part of your mark, so start your homework on the
Tests and mini-tests are part of your mark but
day it is assigned and use the day in between to get
quizzes are used for feedback only so they appear
help if necessary. Copy the correct solution and
online as “assessment”.
write comments to yourself to avoid making the
same error again, e.g., “sin–10.8672 doesn’t mean
Prof.Segerstrom
NY Times
so much as it
is about being
MOTIVATED and
PERSISTENT
sin-1.8672”
TESTS 40%
Several math teachers
are available for
help after school
several days each
week and during many
lunches.
MINI-TESTS &
REASONING 30%
EXAM 30%
[2]
Keep all your tests
and mini-tests
organized; it’s a
great resource for
exam prep.