Ascension of Our Lord Secondary School
Mathematics
Course Code:
Course Name:
Level:
MCV4U
Calculus and Vectors
Grade 12 University
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This course builds on students’ previous experience with functions and their developing
understanding of rates of change. Students will solve problems involving geometric and
algebraic representations of vectors and representations of lines and planes in threedimensional space; broaden their understanding of rates of change to include the
derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and
apply these concepts and skills to the modelling of real-world relationships. Students
will also refine their use of the mathematical processes necessary for success in senior
mathematics. This course is intended for students who choose to pursue careers in fields
such as science, engineering, economics, and some areas of business, including those
students who will be required to take a university-level calculus, linear algebra, or
physics course.
Unit 1
Representing Vectors
Unit 2
Representing Lines and Planes
Unit 3
Rates of Change
Unit 4
Exploring Derivatives
Unit 5
Applying Properties of Derivatives
Unit 6
Rate of Change Problems
Final Assessment
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f (x + h) − f (x )
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Course Overview
Units of Study
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Assessment and Evaluation
The mark for the course will be based upon on-going or term work (70%) and a final assessment (30%).
The on-going or term work may include written assignments, unit tests, and quizzes. Within the two areas, term
work and final assessment, marks will be assigned using the four categories specified in the Ontario Curriculum
Grades 9 to 12 Mathematics Education.
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Knowledge/Understanding
30%
Knowledge of facts, technical terminology,
procedures and standards
Understanding of concepts
Understanding of relationships between concepts
Thinking
20%
Thinking skills and inquiry design skills
Identifying problems, planning, formulating questions,
selecting strategies and resources
Communication
20%
Communication of information for different purposes
Use of language, symbols and visuals
Use of various forms of communication
Application
30%
Application of skills in familiar contexts and
transfer of concepts to new contexts
Application of procedures and technology