MPM2D – Principles of Mathematics, Grade 10 (Academic)
Grade 10 Online Mathematics – Ontario Curriculum
Course Overview
MPM2D strengthens students’ understanding of algebra and linear relations, and introduces quadratic relations, analytic geometry, and right–triangle trigonometry. Students connect equations, graphs, and real-world problems and prepare for Grade 11 university-level courses such as MCR3U Functions.
MEVA offers this course with clear explanations and step-by-step examples so students can build confidence with algebra, graphing, and problem solving.
Note: Students in the applied pathway (MFM2P) cover similar big ideas with more application-focused tasks. MEVA can support both pathways where appropriate.
Units & Major Topics
Unit 1 – Review of Linear Relations & Algebra
- Review of linear relations from Grade 9 (slope, intercept, equations)
- Manipulating algebraic expressions and solving linear equations
- Connecting tables, graphs, and equations for linear models
- Using linear relations to model real-world scenarios
Unit 2 – Analytic Geometry
- Distance formula and midpoint formula
- Determining equations of lines from two points or a point and slope
- Parallel and perpendicular lines in algebraic and geometric contexts
- Using algebra and graphs to verify geometric properties
Unit 3 – Quadratic Relations: y = ax² + bx + c
- Introduction to parabolas and key features
- Vertex, axis of symmetry, zeros, and y-intercept
- Graphing quadratics in standard and factored form
- Comparing linear and quadratic models for the same situation
Unit 4 – Quadratic Equations & Algebraic Techniques
- Factoring trinomials and special products (e.g., difference of squares)
- Solving quadratic equations by factoring
- Completing the square and using the quadratic formula
- Solving word problems involving area, projectile motion, and optimization
Unit 5 – Trigonometry of Right & Acute Triangles
- Review of sine, cosine, and tangent ratios
- Solving right triangles for missing sides and angles
- Applying trigonometry to real-life situations (height, distance, slope)
- Using trigonometry in multi-step problem-solving contexts
Unit 6 – Review & Culminating Task
- Mixed problems linking linear, quadratic, and trigonometric concepts
- Making connections between algebraic and graphical representations
- Preparation for the final examination and/or culminating project
Assessment and Evaluation
The final grade for MPM2D follows the Ontario Ministry evaluation policy: Assessment and evaluation practices are aligned with Growing Success.
- Final grades are based on 70% Term work (assignments, quizzes, tests)
-
30% Final evaluation:
- Culminating Task – 10%
- Final Examination – 20%