Principles of Mathematics, Grade 10 (Academic)
MPM2D
Principles of Mathematics, Grade 10 (Academic)
| Course Code | MPM2D |
| Credit | 1.0 |
| Course Type | Academic |
| Prerequisite | MTH1W or equivalent |
| Delivery | Online | In-Person | Synchronous | Asynchronous |
| Grade | Grade 10 |
Course Description
This course enables students to broaden their understanding of mathematical relationships and extend their problem-solving and algebraic skills through investigation, effective use of technology, and abstract reasoning. Students explore quadratic relations, solve systems of linear equations, investigate analytic geometry, and apply trigonometry to right and acute triangles while communicating their mathematical thinking effectively.
Maple Ridge Academy Course Overview
Principles of Mathematics builds on the mathematical knowledge acquired in Grade 9 while introducing more sophisticated algebraic and geometric concepts. Students learn to represent relationships symbolically, graphically, and numerically while developing confidence in solving increasingly complex mathematical problems.
The course emphasizes analytical thinking, mathematical communication, and practical applications. Students are encouraged to investigate patterns, justify conclusions, and apply mathematical reasoning to authentic situations.
At Maple Ridge Academy, technology-enhanced instruction and individualized feedback help students develop strong mathematical foundations for university-preparation mathematics.
Major Units of Study
Unit 1 – Quadratic Relations: Exploring quadratic equations, graphs, transformations, and real-world applications.
Unit 2 – Analytic Geometry: Investigating slopes, equations of lines, distance, midpoint, and coordinate geometry.
Unit 3 – Systems of Linear Equations: Solving systems algebraically and graphically while applying solutions to practical problems.
Unit 4 – Trigonometry: Applying trigonometric ratios to solve problems involving right and acute triangles.
Unit 5 – Measurement and Geometry: Investigating geometric relationships and measurement in two- and three-dimensional contexts.
Unit 6 – Mathematical Modelling: Using mathematical models and technology to solve authentic problems.
Assessment & Evaluation
Assessment methods include:
- Homework and practice activities
- Investigations
- Quizzes
- Unit tests
- Performance tasks
- Collaborative projects
- Mathematical modelling assignments
- Culminating activity
- Final evaluation
Skills Developed
Students strengthen:
- Algebraic reasoning
- Analytical thinking
- Mathematical communication
- Logical reasoning
- Technology integration
- Problem solving
- Collaboration
- Independent learning
Postsecondary Pathways
Successful completion prepares students for:
- MCR3U – Functions
- MCF3M – Functions and Applications
- Other senior mathematics pathways based on individual goals