MCR3U
Course Profile & Evaluation
2012
Course Description/Rationale/Overview
Oh
This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic
relations. Students will investigate the properties of discrete and continuous functions, including trigonometric and exponential
functions; represents 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
Ma mathematically and communicate their thinking as they solve multi-step problems.
Class Requirements
Materials
Textbook, calculator, notebook and/or
laptop, BYOD (Bring your own
Devices)
Student Responsibility
Students must seek assistance from
fellow students and the teacher for all
work missed due to absence and must
make arrangements to complete missed
work.
Course Requirements/Department Policies
Late Assignments
Late assignments must be accompanied with a note signed by a parent or guardian
stating the reason for tardiness of the assignment. The note must list the due date
of the assignment and the actual date of submission.
If an assignment is handed in after it has been taken up/handed back, the student
may not receive a mark for it.
Missed Tests
It is the student’s responsibility to make arrangements, ahead of time, for any
tests/quizzes that are missed. If a student misses a test/quiz for an unforeseen
reason such as illness, the student must bring a note signed by a parent or
guardian and be prepared to write the test/quiz immediately upon return to school.
Assessment Strategies
Quizzes, tests, assignments (may include assigned homework), group work, technology use
Achievement Categories and Weighting
•
•
•
•
Knowledge & Understanding
Application
Thinking
Communication
15% - 30%
15% - 30%
15% - 30%
15% - 30%
Curriculum Strands
•
•
•
•
Knowledge and understanding
Thinking and inquiry
Communication
Application
These achievement categories are contained
and evaluated in the curriculum strands.
•
•
•
•
•
Works Independently
Team work
Organization
Work Habits
Initiative
FINAL MARK
Evaluation
Quizzes / Assignemnents
Tests
Final Examination
Learning Skills
15% - 20%
50% - 55%
30%
Year’s Work:
70%
Final Summative Evaluation
30%
MCR3U
Course Profile & Evaluation
2012
Course Outline
Uni 1.
Relations and functions -
definitions
function notation and evaluating functions
domain and range
inverse of a function
transformations
simplifying polynomial and rational expressions.
Uni 2.
Quadratic Functions
graphing/sketching the quadratic function
solving quadratic equations
determine the Maximum/Minimum of quadratic functions
- this is done in several ways – completing the square, finding the zeroes
and averaging them, put into y = ax(x-s) + t form
problems involving quadratic functions and equations
-
Uni 3.
Exponential Functions -
Uni 4.
Discrete functions
-
Uni
5. 5.
Trigonometry
-
graphing/sketching the exponential function
determine the characteristics of exponential functions
determine the value of a power with rational exponents
exponent laws and simplifying exponential expressions
applications of the exponential function
looking for a pattern, sequences in general, ways of representing a sequence including
the recursive formula
find the sequence given the general term and vice versa
Fibonacci sequence and Pascal’s triangle to expand binomials
Arithmetic and Geometric sequences
Arithmetic and Geometric series
problems involving sequences and series
Financial Applications - simple and compound interest
- Amount and present value
- Annuities and regular payments of an annuities
Reviewing the trigonometry of right angled triangles
the Sine and Cosine Laws
angles in standard position, co-terminal angles, x,y.r definitions
exact values of special angles
definition of secant, cosecant and cotangent
graphing/sketching trigonometric functions
trigonometric equations and identities
applications of trigonometry