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Course Outline
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 three-dimensional 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.
Prerequisite or Co-requisite: Advanced Functions (MHF4U)
Textbooks: Geometry and Discrete Mathematics Addison-Wesley
Calculus: A First Course McGraw-Hill Ryerson
Topics and Overall Expectations
Rate of Change
demonstrate an understanding of rate of change by making connections between average rate of change over an interval and instantaneous rate of change at a point, using the slopes of secants and tangents and the concept of the limit
graph the derivatives of polynomial, sinusoidal, and exponential functions, and make connections between the numeric, graphical, and algebraic representations of a function and its derivative
verify graphically and algebraically the rules for determining derivatives; apply these rules to determine the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions, and simple combinations of functions; and solve related problems
Derivatives and their Applications
make connections, graphically and algebraically, between the key features of a function and its first and second derivatives, and use the connections in curve sketching
solve problems, including optimization problems, that require the use of the concepts and procedures associated with the derivative, including problems arising from real-world applications and involving the development of mathematical models
Geometry and Algebra of Vectors
demonstrate an understanding of vectors in two-space and three-space by representing them algebraically and geometrically and by recognizing their applications
perform operations on vectors in two-space and three-space, and use the properties of these operations to solve problems, including those arising from real-world applications
distinguish between the geometric representations of a single linear equation or a system of two linear equations in two-space and three-space, and determine different geometric configurations of lines and planes in three-space
represent lines and planes using scalar, vector, and parametric equations, and solve problems involving distances and intersections
Evaluation
Report CardTerm WorkDecember ExamSummative EvaluationTotalNovember100%100%January70%30%100%April Interim80%20%100%June60%10%30%100%
Term work includes assignments, group work, quizzes and unit tests.
The four categories of Knowledge and Understanding, Inquiry, Communications, and Making Connections encompass the curriculum expectations of all high school courses. Teaching, assessment, evaluation, feedback and the final grade will be based on these four categories.
CLASSROOM EXPECTATIONS
ROSEDALE HEIGHTS SCHOOL OF THE ARTS
TEACHER: MS. MA
ROOM: 315
Evaluation and Grading
Your grades in the class will come from assignments, homework, quizzes, tests and project(s).
Cheating will not be tolerated and will result in a grade of zero.
It is the students responsibility to seek assistance from the teacher when help is needed. It is not acceptable to advise the teacher of difficulty on the day that an evaluation is due/taking place.
Assignments are due at the beginning of the period on the due date. Once the assignments are marked and returned to students, missed assignments will receive a mark of zero.
If a test is missed, a note must be brought to the teacher on the first day back to school. This note should be signed by a parent or guardian and should explain the absence and state that the parent or guardian is aware that a test was missed.
Expectations
Arrive to class on time and prepared. This means always bringing your textbook, notebook, calculator, pencil, eraser and ruler with you.
Complete all assigned homework. At minimum, an attempt should be made for every question. Homework should always be checked with answers in the back of the text. Any questions on the homework will be taken up the next day.
Notebooks should be kept up-to-date and organized.
If you need helpask! If you have any questions or concerns, please come and see me to schedule a time and place we can meet. Before and after school I can usually be found in the Math Office (room 306B)
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