North Grenville District High SchoolUpper Canada District School Board

COURSE OUTLINE:

1Course: MCF 3M1, Functions and Applications, Grade 11Prerequisite : Grade 10 Principles of Mathematics, Academic or Grade 10 Foundations of Mathematics, AppliedTextbook: Functions and Applications 11, Nelson, 2008

This course was designed in accordance with the Ontario Curriculum Policy Documenthttp://www.edu.gov.on.ca/eng/curriculum/secondary/

Teacher: Miss BeaubienProgram Leader/Department Head: Ms. J. RyanPrincipal: Mr. D. Cole

COURSE DESCRIPTIONThis course introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modelling real-world situations. Students will represent functions numerically, graphically, and algebraically: simplify expressions; solve equations; and solve problems relating to applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

AREAS OF STUDYQuadratic Functions

expand and simplify quadratic expressions, solve quadratic equations, and relate the roots of a quadratic equation to the corresponding graph demonstrate an understanding of functions, and make connections between the numeric, graphical, and algebraic representations of quadratic functions solve problems involving quadratic functions, including problems arising from real-world applications

Exponential Functions

simplify and evaluate numerical expressions involving exponents, and make connections between the numerical, graphic, and algebraic representations of exponential functions identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications demonstrate an understanding of compound interest and annuities, and solve related problems

Trigonometric Functions

solve problems involving trigonometry in acute triangles using the sine law, and the cosine law, including problems arising from real-world applications demonstrate an understanding of periodic relationships and the sine function, and make connections between the numerical, graphical, and algebraic representations of sine functions identify and represent sine functions, and solve problems involving sine functions, including problems arising from real-world applications

UNITS OF STUDYUnit 1: Introduction to the Quadratic Function Unit 5: TrigonometryUnit 2: The Algebra of Quadratic Expressions Unit 6: Sinusoidal FunctionsUnit 3: Standard and Factored Forms of Quadratic Functions Unit 7: Exponential FunctionsUnit 4: Standard and Vertex Forms of Quadratic Functions Unit 8: Financial Applications

ASSESSMENT, EVALUATION, and MARK BREAKDOWN

Term Report Final ReportKnowledge & Understanding 25%Thinking/Inquiring/Problem Solving 25%Communication 25%Application 25% 100%

Term Work 70%Culminating Task 10%Final Exam 20% 100%

Assessment tools include tests, quizzes, assignments, and problem solving performance tasks.

COURSE EXPECTATIONS1. All students are required to bring the following materials to class everyday: assigned textbook, pencil with eraser, ruler, scientific calculator, lined paper, graph paper and completed homework. Please leave food, drink, and cell phones in your locker.2. It is imperative that students take responsibility for their own learning, attend all classes, and be on time to class.3. Class time is to be used effectively and students are expected to focus on the task at hand.4. When absent, students are responsible for obtaining class notes and completing the required homework for the missed lesson(s).5. If you have trouble with any assigned work, it is your responsibility to get extra help either during class, MSIP periods, or lunch.

HOMEWORK & ASSIGNMENT EXPECTATIONS Students can expect at least half an hour of homework every day. Homework questions provide the opportunity for students to practice, apply, and review

the skills taught in the lessons. Students who fail to complete homework on a regular basis rarely succeed on tests and the final exam.

Students are expected to write a model solution (as per examples shown in class), and then to check their answer with the answers provided at the back of the book. Students should highlight any question which they are having difficulty with and ask the teacher for help the next day.

Meeting deadlines is a skill required both in school and in the workforce. Students are expected to respect due dates, unless discussed prior to the due date with the teacher.

All students are expected to write unit tests on the assigned test date, unless discussed otherwise with the teacher.

TEACHER CONTACT INFORMATIONe-mail address: sandra.beaubien@ucdsb.on.ca

Website: msbeaubien.weebly.com