PORT CREDIT S.S. COURSE OVERVIEW GRADE 11 PROGRAM DEPARTMENT: COURSE: PREREQUISITE: TEXTBOOK: Mathematics COURSE CODE: MCR3U0 Grade 11 Functions CREDIT VALUE: 1.0 Grade 10 Principles of Mathematics (MPM2D0) Nelson Functions 11 OVERVIEW OF THE COURSE: 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; and develop facility in simplifying polynomial and rational expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems. OVERALL EXPECTATIONS: UNDERSTANDING FUNCTIONS By the end of this course, students will: 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 those arising from real-world applications demonstrate an understanding of equivalence as it relates to simplifying polynomial, radical, and rational expressions. EXPONENTIAL FUNCTIONS: By the end of this course, students will: 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 TRIGONOMETRIC FUNCTIONS: By the end of this course, students will: determine the values of the trigonometric ratios for angles less than 360º; 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 DISCRETE FUNCTIONS: By the end of this course, students will: 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 ASSESSMENT & EVALUATION Assessment and evaluation are based on the provincial expectations and levels of achievement outlined in the provincial curriculum document for each subject in secondary school. Evaluation throughout the course and the final evaluation will incorporate four broad categories: A final grade will be calculated: Term Work = 70%; Final Evaluation = 30% . Knowledge and Understanding 25% Quizzes Tests Assignments Thinking/ Inquiry Communication 10% Performance Tasks Investigations Quizzes & Tests 10% Quizzes & Tests Verbal & Written Explanations Application Final Summative Evaluation 25% Quizzes &Tests Assignments Performance Tasks 30% Performance Task 10% Written Exam 20% The exact weighting of these categories will vary depending on the subject, unit and type of evaluation. Students will also receive descriptive feedback as part of the learning process which may not be assigned a mark. LEARNING SKILLS: The following learning skills will be taught and assessed throughout the course and will be shown on the report card. Students' performance in these skill areas will not be included in the final numeric mark. It is important to remember, however, that the development and consistent practice of these skills will influence academic achievement. These skills include: Responsibility Organization Independent Work EQUIPMENT/MATERIALS NEEDED: Collaboration Initiative Selfregulation Scientific Calculator Three Ring Binder Graph Paper Geometry Set ------------------------------------------------------------------------------------------------------------------------------------------------ PCSS ASSESSMENT AND EVALUATION POLICY School policy regarding plagiarism and cheating, and late or non-submission of assessments and evaluations are explained in the online student agenda at www.pcssonline.com MISSED EVALUATIONS: If an absence is due to illness, students are expected to provide a note from a parent explaining the absence and negotiate a makeup time with their math teacher on the day the student returns to school. Otherwise, a mark of zero may be assigned. Students should provide advance notice to their teachers for absences due to medical appointments, field trips, sporting events etc. so that alternate test times can be made. Otherwise a mark of zero may be assigned. To be signed by the parent/guardian and kept in student subject workbook. I acknowledge that I have read the subject overview and evaluation strategies for this course and I understand the PCSS Assessment and Evaluation Policy. Parent/Guardian’s Signature Student’s Signature __________________________ ___________________________