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Course Outline
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.
Prerequisite: Principles of Mathematics, Grade 10, Academic
Textbook: Functions/Relations, Harcourt Mathematics 11
Topics and Overall Expectations
Characteristics of Functions
demonstrate an understanding of functions, their representations, and their inverses, and make connections between the algebraic and graphical representations of functions using transformations;
determine the zeros and the maximum or minimum of a quadratic function, and solve problems involving quadratic functions, including problems arising from real-world applications;
demonstrate an understanding of equivalence as it relates to simplifying polynomial, radical, and rational expressions.
Exponential Functions
evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of exponential functions represented in a variety of ways;
make connections between the numeric, graphical, and algebraic representations of exponential functions;
identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications.
Discrete Functions
demonstrate an understanding of recursive sequences, represent recursive sequences in a variety of ways, and make connections to Pascal's triangle;
demonstrate an understanding of the relationships involved in arithmetic and geometric sequences and series, and solve related problems;
make connections between sequences, series, and financial applications, and solve problems involving compound interest and ordinary annuities.
Trigonometric Functions
determine the values of the trigonometric ratios for angles less than 360[degree sign]; prove simple trigonometric identities; and solve problems using the primary trigonometric ratios, the sine law, and the cosine law;
demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the numeric, graphical, and algebraic representations of sinusoidal functions;
identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including problems arising from real-world applications.
Evaluation
Report CardTerm WorkSummative EvaluationTotalNovember100%100%February100%100%April (Interim)100%100%June70%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
2010-2011
COURSE: 11 FUNCTIONS
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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