Course Title: Functions and Applications 11 Online (Mixed Math)
Course Type: University Preparation
Course Code: MCF3M
Credit Value: 1
Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised)
Prerequisite: MPM 2D or MFM2P
This course is based on the expectations and guidelines set by Ministry of Education’s Ontario Curriculum documents for Grade 11 and 12 Mathematics.
This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
By the end of this course, students will:
- 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.
- 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.
- 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.
Functions and Applications is broken down into the following units:
|1||Introduction to the Quadratic Function|
|3||Applications of Quadratics|
The overall course is broken into Term Work and the Final Exam:
Both the Term work and the Final Exam are broken into the following skill categories:
Each activity accumulates the following mark total (Note: Marks are weighted by skill categories, not by activities):
There is no required textbook for this course.
For additional resources, the recommended textbooks are:
- Functions and Applications 11, McGraw-Hill Ryerson, 2008.
- Nelson Functions and Applications 11, Nelson Education Ltd., 2008.
Student Achievement Levels
Assessment and evaluation is guided by the Ministry of Education’s Growing Success policy document. Student achievement will be communicated formally to parent(s)/guardian(s) by means of the Provincial Report Card for grades 9 – 12 courses. Information about student reporting, along with yearly communication timelines, can be found on the ‘Programs’ page of the Ministry of Education website. The levels of achievement are associated with percentage grades, and are defined as follows:
|Percentage||Achievement of the Provincial Curriculum Expectations|
|80-100%||The student has demonstrated the required knowledge and skills with a high degree of effectiveness. Achievement surpasses the provincial standard. (Level 4)|
|70-79%||The student has demonstrated the required knowledge and skills with considerable
effectiveness. Achievement meets the provincial standard. (Level 3)
|60-69%||The student has demonstrated the required knowledge and skills with some
effectiveness. Achievement approaches the provincial standard. (Level 2)
|50-59%||The student has demonstrated the required knowledge and skills with limited
effectiveness. Achievement falls much below the provincial standard. (Level 1)
|Below 50%||The student has not demonstrated the required knowledge and skills. Extensive
remediation is required.