MCR3U – Grade 11 Functions, University Preparation
Course Description
This course introduces the mathematical concept of functions by extending students’ understanding of linear and quadratic relations. Students investigate polynomial, rational, exponential, and trigonometric functions, and explore their properties, representations, and applications.
The course emphasizes problem-solving, algebraic manipulation, graphing, and mathematical reasoning. Students learn to model real-world situations using functions and interpret mathematical results in context.
This course prepares students for Grade 12 mathematics courses, including MHF4U – Advanced Functions, MCV4U – Calculus and Vectors, and MDM4U – Mathematics of Data Management.
Prerequisite: MPM2D – Grade 10 Principles of Mathematics
Course Content
| Unit | Course Content | Time Allocation |
|---|---|---|
|
1 |
Introduction to Functions |
15.5 |
|
2 |
Equivalent Algebraic Expressions |
14.5 |
|
3 |
Quadratic Functions |
15.5 |
|
4 |
Trigonometric Ratios |
14.5 |
|
5 |
Sinusoidal Functions |
13 |
|
6 |
Exponential Functions |
11 |
|
7 |
Discrete Functions – Sequences and Series |
14 |
|
8 |
Financial Applications of Discrete Functions |
10 |
|
|
Final Assignment: I.S.U. & Exam |
2 |
|
|
Total Hours |
110 |
Assessment & Evaluation
Purpose
The primary purpose of assessment is to improve student learning. Assessment relates directly to the expectations for the course.
A variety of assessments for and as learning are conducted on a regular basis to allow ample opportunities for students to improve and ultimately demonstrate their full range of learning and in order for the teacher to gather information to provide feedback. Assessment tasks relate to the success criteria set out in lesson plans. Success criteria allow students to see what quality looks like.
Evaluation is the process of judging the quality of student work in relation to the achievement chart categories and criteria, and assigning a percentage grade to represent that quality. Evaluation is based on gathering evidence of student achievement through:
- Products
- Observations
- Conversations
Weighting of Categories
| Knowledge & Understanding | Thinking | Communication | Application |
|---|---|---|---|
|
25% |
25% |
25% |
25% |
Grading
- The final grade is based on performance in 3 areas: products, observations, conversations.
- 70% of the grade is based on evaluations conducted throughout the course.
- 30% is based on a final evaluation.