MCR3U1
Functions and Relations, Grade 11, University Preparation
This course introduces some financial applications of mathematics, extends your experiences with functions, and introduces second-degree relations. You will solve problems in personal finance involving applications of sequences and series; investigate properties and applications of trigonometric functions; develop facility in operating with polynomial, rational, and exponential expressions; develop an understanding of inverses and transformations of functions; and develop facility in using notation and in communicating mathematical reasoning. You will also investigate loci and the properties and applications of conics.
Prerequisite: Principles of Mathematics, Grade 10, Academic
Prerequisite: Principles of Mathematics, Grade 10, Academic
Assessment Solutions |
Textbook Homework Solutions |
COURSE OUTLINE
1) Functions & Relations
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2) Rational Expressions
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3) Quadratic Relations
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4) Exponential Functions
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5) Trigonometric Ratios
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6) Sinusoidal Functions
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7) Sequences and Series
Responsibility
The ability to make and maintain learning commitments (to oneself and others) in line with established classroom norms/routines.
The student:
Organization
The ability to manage and prioritize materials, information and time towards the achievement of goals.
The student:
Independent Work
The ability to follow directions, self assess and complete work (without prompting or re-direction) in relation to success criteria.
The student:
Collaboration
The ability to work with others, both face-to-face and virtually, toward a goal and in a variety of roles.
The student:
Initiative
The ability to self-start, self assess, and self advocate based upon curiosity, opennes to new ideas, a positive attitude toward learning and feedback in relation to goals.
The student:
Self-regulation
The ability to set, monitor, and revise plans, attitudes, and behaviours to take strategic action toward the achievement of goals (cognitive, social and emotional).
The student:
The ability to make and maintain learning commitments (to oneself and others) in line with established classroom norms/routines.
The student:
- fulfils responsibilities and commitments within the learning environment;
- completes and submits class work, homework, and assignments according to agreed-upon timelines;
- takes responsibility for and manages own behaviour.
Organization
The ability to manage and prioritize materials, information and time towards the achievement of goals.
The student:
- devises and follows a plan and process for completing work and tasks;
- establishes priorities and manages time to complete tasks and achieve goals;
- identifies, gathers, evaluates, and uses information, technology, and resources to complete tasks.
Independent Work
The ability to follow directions, self assess and complete work (without prompting or re-direction) in relation to success criteria.
The student:
- independently monitors, assesses, and revises plans to complete tasks and meet goals;
- uses class time appropriately to complete tasks;
- follows instructions with minimal supervision.
Collaboration
The ability to work with others, both face-to-face and virtually, toward a goal and in a variety of roles.
The student:
- accepts various roles and an equitable share of work in a group;
- responds positively to the ideas, opinions, values, and traditions of others;
- builds healthy peer-to-peer relationships through personal and media-assisted interactions;
- works with others to resolve conflicts and build consensus to achieve group goals;
- shares information, resources, and expertise and promotes critical thinking to solve problems and make decisions.
Initiative
The ability to self-start, self assess, and self advocate based upon curiosity, opennes to new ideas, a positive attitude toward learning and feedback in relation to goals.
The student:
- looks for and acts on new ideas and opportunities for learning;
- demonstrates the capacity for innovation and a willingness to take risks;
- demonstrates curiosity and interest in learning;
- approaches new tasks with a positive attitude;
- recognizes and advocates appropriately for the rights of self and others.
Self-regulation
The ability to set, monitor, and revise plans, attitudes, and behaviours to take strategic action toward the achievement of goals (cognitive, social and emotional).
The student:
- sets own individual goals and monitors progress towards achieving them;
- seeks clarification or assistance when needed;
- assesses and reflects critically on own strengths, needs, and interests;
- identifies learning opportunities, choices, and strategies to meet personal needs and achieve goals;
- perseveres and makes an effort when responding to challenges.