Mathematics (MCF3M)
Course Description
This course introduces basic features of the function by extending student’s experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modeling real-world situations. Students will represent functions numerically, graphically, and algebraically; simplifying expressions; solve equations; and solve problems relating to financial and trigonometric applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
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| Units | Descriptions | Length (Approximately) |
|---|---|---|
| 1. | Quadratic functions Having acquired a firm understanding of functions and polynomial relations in the first unit, students will study one particular family of functions, quadratics, in detail. They will explore the various forms of the quadratic equation and use strategies to convert equations to graphs and vice versa. They will explore the significance of the characteristics of quadratic functions. They will make connections between the numeric, graphical and algebraic representations of quadratic functions, and relate the roots of quadratic equations to the corresponding graph. They will investigate the utility of quadratic functions as models for a variety of real-world applications. |
35 hours |
| 2. | Exponential Functions Students will simplify and evaluate numerical expressions involving exponents, and 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; demonstrate an understanding of compound interest and annuities, and solve related problems. |
30 hours |
| 3. | Trigonometric functions Students will 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 numeric, 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. |
35 hours |
| The final assessment task is to provide students to do Exam Review (4 Hrs) +Formative Exam (2 Hrs) +Culminating Task (2 Hrs) + Final Exam (2 Hrs) | 10 hours | |
| Total | 110 hours | |
Overall Curriculum Expectations
By the end of this course, students will:
- Expand and simplify quadratic expressions and solve quadratic expressions.
- Determine, through investigation, the properties of quadratic functions.
- Solve and model problems involving quadratic functions.
By the end of this course, students will:
- Explore, through investigation, the nature of exponential growth and decay, and solve related problems.
- Solve problems involving compound interest and annuities and analyze situations that require financial decision making, using spreadsheets or other appropriate technology.
By the end of this course, students will:
- Apply the sine law and the cosine law to solve problems involving acute triangles.
- Demonstrate an understanding of the sine function, and model periodic relationships arising from a variety of application using the sine function.
Assessment & Evaluation of student performance
Assessment is regular and continuous and is used for the improvement of teaching and learning and not for grade reporting. Assessments will be based on both formative and summative processes.
Formative assessments are learning practices that provide important feedback to student progress. Examples include homework and quizzes.
Summative assessments form a foundation for final mark allotment at the end of the unit, term and final evaluation.
Formative assessments are learning practices that provide important feedback to student progress. Examples include homework and quizzes.
Summative assessments form a foundation for final mark allotment at the end of the unit, term and final evaluation.
Evaluation will be done after teaching by using summative assessment strategies on particular ‘chunks’ of work.
An achievement chart will be given to students at regular intervals and the purpose of the charts is to provide feedback to students in relation to content and performance strands.
An achievement chart will be given to students at regular intervals and the purpose of the charts is to provide feedback to students in relation to content and performance strands.
Assessment and evaluation in this course will reflect provincial curriculum expectations and will incorporate the use of the four categories of the Provincial Achievement Chart with each category weighted as follows:
| Knowledge and understanding | Communication | Thinking Inquiry and Problem solving | Application |
|---|---|---|---|
| 25% | 25% | 25% | 25% |
Unit Tests, Written assignments, presentations, Classroom Observations and Classroom conversations.
Pass Percentage