FUNCTIONS AND RELATIONS, GRADE 11,

UNIVERSITY PREPARATION (MCR3U)

Description of Course:

This course introduces some financial applications of mathematics, extends students’ experiences with functions, and introduces second-degree relations. Students will solve problems in personal finance involving applications of sequences and series; investigate properties and applications of trigonometric functions; develop facility in operating with polynomials, rational expressions, and exponential expressions; develop an understanding of inverses and transformations of functions; and develop facility in using function notation and in communicating mathematical reasoning. Students will also investigate loci and the properties and applications of conics.

Pre-Requisite or Co-Requisite: MPM-2D

Policy Document Reference: Page 11-19, in the Ministry Document, The Ontario Curriculum, Grades 11 and 12

Textbook(s):Mathematics 11MCGRAW-HILL RYERSON

Unit Titles (With approximate time allotted per unit)

Unit 1: Algebraic Tools ................................................... 15 classes

Unit 2: Transformations of Functions ............................... 20 classes

Unit 3: Trigonometry ........................................................ 6 classes

Unit 4: Trigonometric Functions ....................................... 16 classes

Unit 5: Loci and Conics ................................................... 14 classes

Unit 6: Sequences and Series ............................................ 8 classes

Unit 7: Compound Interest and Annuities .......................... 7 classes

Culminating Activities ....................................................... 4 classes

Assessment and Evaluation

According to Ministry policy, the primary purpose of assessment and evaluation is to improve student learning.

 It will be based upon the provincial curriculum expectations and the achievement levels outlined in the secondary curriculum policy documents.

Assessment is the process of gathering information from a variety of sources such as assignments, demonstrations, projects, learning skills, etc.

Evaluation is the process of judging the value of the student’s work on the basis of established criteria and assigning a value to represent that quality. The course evaluation is based on the DSBN Subject Council Consistency in Assessment and Evaluation Agreement, 2003-2004.

Learning Skills 

These skills are supportive of student learning. Marks serve another purpose. A student’s ability to work with others, to attend class regularly, to be punctual, and to keep up with the work and maintain an accurate and complete notebook is very important and has an impact on how well a student performs. The report card allows these skills to be recorded for the public record. Therefore, teachers will continue to record information on these skills and assign a value to them for the report card.

Types of Assessment, Evaluation and Activities

Written reports

Projects

Oral presentations/communication skills

Homework

Quizzes

Assignments

Unit Tests

Term Work Assessment     70%

 Summative Assessment     30%

Assessment Instruments

Quizzes and/or Assignments 10%

Performance Tasks/ Technology 12%

Unit Tests 40%

Rich Assessment Tasks, Projects 8%

(includes technology)

TOTAL TERM 70%

Assessment Instrument

Final Examination 30%

Specific Course Expectations:

Students should have with them each day: ►3 ring binder containing lined, blank and graph paper, with dividers

►Pencil, pen, ruler, eraser

►Scientific Calculator

►Myer Student Agenda

Students should attempt to fully complete each day’s assigned work and seek extra help with difficult topics.