WEST CARLETON SECONDARY SCHOOL MCR3U Functions COURSE OUTLINE 2014-2015 EVALUATION Term Work Summative Exam 70% 10% 20% COURSE EXPECTATIONS Characteristics of Functions ● demonstrate an understanding of functions, their representations, their inverses, and make connections between 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 numeric, graphical, and algebraic representations of exponentials; ● identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications. Sequences and Series ● 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. Trigonemetric Functions ● determine the values of trigonometric ratios for angles less than 360, prove simple trigonometric identities, and solve problems using primary trigonometric ratios, sine law and cosine law; ● demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between 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. UNITS OF STUDY 1. 2. 3. 4. 5. 6. 7. Tools for Operating with Functions Quadratic Functions Transformations of Functions Trigonometry Trigonometric Functions Sequences and Series Compound Interest and Annuities (12%) (9%) (11%) (12%) (10%) (9%) (7%) POLICIES AND PROCEDURES Assessment and Evaluation Please see the schools Assessment and Evaluation Policy on our school website at www.westcarletonss.ocdsb.ca. Test Policy If your child is aware that he/she will miss a test due to an appointment/sports event etc., it is the student’s responsibility to let the teacher know AHEAD of time. The student will then make arrangements with the teacher to write the test AHEAD of time. Department policy requires that students verify any absences from tests with a note from a parent, guardian or a doctor. Students will write a compensation test upon their return to school. Students may be given a one-time opportunity to replace ONE unit test with a make-up test near the end of the semester. In order to qualify for this opportunity the student will be asked to do extra review for that unit. The dates will be announced ahead of time. IMPORTANT NOTE: If a student writes a compensation test, then that test will not qualify for a makeup test at the end of the semester. Summative Evaluations All mathematics students are required by the Ontario Ministry of Education to perform a rich assessment task towards the end of the semester. Specific dates for these evaluations will be announced by the classroom teacher. This is part of the 30% summative evaluation; 20% for the exam and 10% for the summative. Students cannot miss either evaluation unless they have a medical certificate. Thank You West Carleton Mathematics Department