North Grenville District High SchoolUpper Canada District School Board

DATE: February 1, 2019

COURSE OUTLINE:

1Course: Grade 11 Functions, MCR3U1Prerequisite : Grade 10 Principles of Mathematics, MPM2D1Textbook: Functions 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. S. BeaubienPrincipal: Mr. D. Cole

COURSE DESCRIPTIONThis 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.

AREAS OF STUDYCharacteristics 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 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, including problems arising from real-world applications.

UNITS OF STUDYUnit 1: Introduction to Functions Unit 5: Trigonometric Ratios

Unit 2: Equivalent Algebraic Expressions Unit 6: Sinusoidal FunctionsUnit 3: Quadratic Functions and Applications Unit 7: Sequences and SeriesUnit 4: Exponential Functions and Applications Unit 8: Financial Applications

ASSESSMENT, EVALUATION, and MARK BREAKDOWNTerm Report Final Report

Knowledge & Understanding 30%Thinking/Inquiring/Problem Solving 20%Communication 20%Application 30% 100%

Term Work 70%Final Exam 30% 100%

Assessment tools include quizzes, tests, 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 practice questions.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 work 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 at lunch.6. In the class, electronic devices (cell phones, etc.) are to be used for educational purposes only.

PRACTICE QUESTIONS & ASSIGNMENT EXPECTATIONS Students can expect at least an hour of work every day. Practice questions provide the opportunity for students to apply, and review the skills

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

Students will receive a unit plan at the beginning of each unit. This plan will list all of the practice questions for the unit, as well as assignment due dates and the unit test date. If students are absent for a class, they should refer to this unit plan to determine the work that was assigned.

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. Assignments are to be handed in by 2:15 p.m. on the assigned due date, unless discussed prior to the due date with the teacher.

INSTRUCTOR CONTACT INFORMATIONe-mail address: sandra.beaubien@ucdsb.on.ca webpage: msbeaubien.weebly.com

AGREEMENT – MCR 3U1Parents/Guardians: I try to send out regular e-mails stating the practice questions for a unit, the due dates of assignments, test dates, and other

important information. By providing your e-mail address, I will try to regularly let you know what is happening in this course. You can also check my website regularly by looking at the unit outlines.

_____________________________________ _______________________________________________Student Name Student Signature

_____________________________________ ________________________________________________Parent/Guardian Name Parent/Guardian E-mail(s)

_____________________________________ ________________________________________________Parent/Guardian Phone Number(s) Parent/Guardian Signature

__________________________________ M.S.I.P. Period _________, Room # __________Date M.S.I.P Teacher _____________________________