GRADE 10 COURSE

MPM2D

Principles of Mathematics

This Grade 10 Academic Mathematics course broadens students’ understanding of mathematical relationships and extends problem-solving and algebraic skills. Students investigate linear systems, analytic geometry, quadratic relations and triangle trigonometry.

1.0 Credit

Academic

110 hours of planned learning

Challenging Today. More Opportunities Tomorrow.

Grade

Credit

1.0

Delivery

Online

Prerequisite

Math Gr. 9

About This Course

What You'll Learn

Solve and apply linear systems and work with different forms of linear equations.
Use analytic geometry to investigate slope, lines, line segments and geometric properties.
Explore properties, transformations and applications of quadratic relations.
Factor quadratic expressions and solve quadratic equations.
Use trigonometric ratios and the Pythagorean theorem to solve right-triangle problems.
Use the sine law and cosine law to solve problems involving acute triangles.

Skills You'll Develop

Multi-step problem solving and mathematical inquiry
Algebraic reasoning and symbolic manipulation
Analytic geometry and geometric verification
Graphing, visualization and multiple representations
Mathematical communication, reasoning and justification

Learning Outcomes

By the end of the course, students will be able to:

Determine properties of quadratic relations and connect graphical transformations to algebraic representations.
Solve quadratic equations and interpret solutions in relation to the corresponding quadratic relationships.
Model and solve problems involving the intersection of straight lines.
Use analytic geometry to solve problems involving lines and line segments and verify properties of triangles and quadrilaterals.
Use ratio and proportion to investigate similar triangles.
Solve right-triangle problems using primary trigonometric ratios and the Pythagorean theorem.
Solve acute-triangle problems using the sine law and cosine law.
Apply mathematical processes such as problem solving, reasoning, reflection, representation, technology use, connections and communication throughout the course.

Course Units

The following reflects the school’s planned organization of the course. Approximate time allocations may be adjusted while all curriculum expectations and required planned learning are maintained.

Unit	Title / Major Learning Focus	Approx. Time
1	Linear Systems and Forms of Linear Equations	13 hours
2	Analytic Geometry: Slope, Lines and Line Segments	11 hours
3	Geometric Properties and Verification	14 hours
4	Quadratic Relations and Transformations	15 hours
5	Quadratic Expressions and Factoring	15 hours
6	Quadratic Equations and Applications	15 hours
7	Trigonometry of Right Triangles	13 hours
8	Trigonometry of Acute Triangles	12 hours
Final	Mandatory Written Final Examination	2 hours

Assessment

Assessment uses evidence gathered over time from student work, conversations and observations. The final grade for 2026–2027 is determined as follows:

Component	Weight	How It Is Determined
Course work throughout the course	65%	Evaluations conducted throughout the course, reflecting the student's most consistent achievement with special consideration for more recent evidence.
Mandatory written final examination	20%	Mandatory written final examination completed during the designated examination period.
Attendance and participation	15%	Based on the full body of evidence of meaningful engagement and participation.

Examples of Assessment Evidence

Assessment may include diagnostic questions, assignments and problem sets, quizzes and unit tests, mathematical investigations, oral and written explanations, portfolios and final evaluations.

Pathways

Teachers connect mathematics to pathways and careers in science, engineering, computer studies, business, finance, skilled trades, technology and many other fields. The course also provides the mathematical foundation for Grade 11 mathematics and builds transferable reasoning, problem-solving and communication skills.

The course also develops transferable skills that can be applied in other subjects, postsecondary learning, community contexts and future employment.

Teacher Support

Students learn through the school's secure online learning environment and receive ongoing support from qualified teachers.
Teacher-supported conferencing, tutorials and scheduled live support are available as appropriate.
Explicit instruction and worked examples are followed by guided and independent practice.
Dynamic graphing and geometry tools help students visualize and test mathematical relationships.
Math talks, questioning, conferencing and explanation of reasoning support conceptual understanding and communication.
Differentiated support, scaffolded practice, targeted one-to-one tutorials, cumulative review and opportunities to revisit prior learning support student progress.

Frequently Asked Questions

What is the course code?

MPM2D — Principles of Mathematics, Grade 10, Academic.

How many credits is MPM2D?

The course is worth 1.0 Ontario secondary school credit.

What is the prerequisite?

Grade 9 Mathematics.

What major topics are covered?

The course includes linear systems, analytic geometry, quadratic relations and equations, and right- and acute-triangle trigonometry.

How is the final grade calculated?

65% course work, 20% mandatory written final examination, and 15% attendance and participation.

What technology is used in the course?

Dynamic graphing and geometry tools are used to visualize, investigate and test mathematical relationships.

What careers connect to this course?

The outline connects mathematics to science, engineering, computer studies, business, finance, skilled trades, technology and related fields.

Ready to Take This Course?

$549 / Credit

Need Help Deciding?

Not sure if this is the right course? Book a free 30-minute meeting with a CSW advisor.