Department of Mathematics St. Edmund Campion Secondary School Course Code: MCR3U1 Course Name: Mathematics, Functions Level: Grade 11, University 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. Overall Course Expectations: Characteristics of Functions demonstrate an understanding of functions (i.e. various representations, inverses, etc.) and make connections between the algebraic and graphical representations of functions; solve problems involving quadratic functions; demonstrate an understanding of equivalence as it relates to simplifying expressions. Exponential Functions evaluate and simplify expressions containing exponents, and describe properties of exponential functions; make connections between various representations of exponential functions; solve problems involving exponential functions, including those arising from real-world applications. Discrete Functions demonstrate an understanding of recursive sequences; solve problems involving arithmetic and geometric sequences and series; 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; 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; identify and represent sinusoidal functions, and solve problems. Efforts will be made to meet the individual learning needs of students to promote student success with respect to meeting these expectations. My signature below indicates that I have read the Course Handout, and I am in agreement with its contents. Parent’s/Guardian’s Signature: _________________________ Date: _______________ Course Outline: Unit Unit Unit Unit Unit Unit Unit Unit 1 2 3 4 5 6 7 8 Resources: Quadratic Functions and Equations Transformations of Functions Algebraic Tools Exponential Functions Trigonometry Trigonometric Functions Sequences and Series Interest and Annuities Review Activities The course will use a variety of resources. The primary textbook Mathematics 11 will be distributed to students during the first week of the course. The text and all other resources assigned to each student are the responsibility of the student. Any damage incurred will result in payment for replacement. Replacement cost for the text is $75.00. 14 days 10 days 11 days 5 days 7 days 13 days 7 days 8 days 5 days (All timelines are approximate.) Evaluation Policies 1. Student marks will be determined by evaluating process & product according to 4 categories (see below) & 4 levels of the Achievement Chart as found in the Ministry Policy document for Mathematics. Evaluation Structure: Knowledge/Understanding Application Communication Thinking/Inquiry 30% 30% 20% 20% Term work = 70% of the final mark. Summative work = 30% of the final mark. 2. Feedback will also be provided for student learning skills. Working independently, teamwork, organization, work habits/homework, and initiative are assessed apart from student achievement in the four categories outlined above and will conform to the coding: E – Excellent G – Good S – Satisfactory N - Needs Improvement 3. Assignments submitted after the due date established by the teacher will receive a penalty in accord with our school evaluation policy as outlined in the agenda. No assignment will be accepted once a teacher has returned marked assignments. Chronic lateness indicates poor organization skills and will result in parental contact and be reported in the learning skills section of the report card. 4. Should a student miss an evaluation due to a legitimate absence, a note shall be provided to the teacher the day of the student’s return to class stating the reason for absence and the parent/guardian’s awareness that the student has missed an evaluation. Makeup will be at the teacher’s discretion. Should such documentation not be provided, a mark of zero will be assigned. May God bless your efforts this semester!