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Principles of Mathematics

MPM2D-GRADE 10

Course Code:

MPM2D

Subject:

Principles of Mathematics

Course type:

open

Prerequiste:

None

MPM2D deepens students' understanding of mathematical concepts by exploring algebra, linear and quadratic relations, geometry, and trigonometry
This course emphasizes
  • Abstract reasoning
  • Problem solving
  • Real-world application
Students develop mathematical models, analyze data, and strengthen their ability to communicate mathematical ideas clearly and effectively. MPM2D prepares learners for advanced math courses and future STEM pathways.
Unit 1: Systems of Linear Equations
Students analyze linear relationships and learn multiple methods of solving systems.
Lessons include:
  • Representing Linear Relations

  • Graphical and Algebraic Solutions

  • Substitution and Elimination Methods

  • Translating Verbal Problems to Equations

  • Application of Systems in Real Life

Unit 2: Analytical Geometry
This unit develops spatial reasoning and coordinate geometry skills.
Lessons include:
  • Midpoint and Length Formulas

  • Circles in Standard Form

  • Triangle Properties and Geometric Verification

  • Applications of Slope and Coordinate Proofs

Unit 3: Quadratic Relations
Students explore the characteristics of quadratic functions and their graphical representations
Lessons include:
  • Identifying and Exploring Quadratics

  • Properties of Parabolas

  • Quadratic Transformations and Vertex Form

  • Expanding and Factoring Quadratic Expressions

  • Solving Quadratic Equations (Various Methods

Unit 4: Trigonometry
Students apply trigonometric concepts to right and non-right triangles
Lessons include:
  • Congruence and Similarity

  • Similar Triangles in Applications

  • Right-Angle Trigonometry (SOH-CAH-TOA)

  • Law of Sines and Law of Cosines

  • Solving Acute Triangle Problems

MPM2D assessment balances procedural fluency with conceptual understanding and problem solving:
  • 70% of the final grade is based on coursework, and assignments
  • 30% of the final grade is based on final evaluations:
        10% Culminating math portfolio or real-world modelling task
        20% Final written exam covering all strands.
All assessments align with the Ontario mathematics curriculum and aim to build both technical skills and confidence in mathematical thinking.
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Project-Based Learning

Develop practical skills through hands-on projects and assignments.

Career Support

Guidance for future education and career opportunities

Where Flexibility Meets Academic Excellence

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At Futures Canadian School, students earn the Ontario Secondary School Diploma (OSSD) through a fully online, Ministry-inspected program designed for success—anywhere in the world. Our flexible format, expert support, and university-prep focus empower students to reach their academic goals on their terms, while meeting the highest standards of Ontario education. Whether you're aiming for top universities in Canada or abroad, we provide a pathway that fits your pace and ambition.

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Frequently Asked Questions

Q) Is the school accredited by the Ministry of Education?
Ans) Yes, Futures Canadian School is fully inspected and accredited by the Ontario Ministry of Education to ensure that we meet the highest standards of academic quality.
Ans) You can reach us by email, phone or through our website to begin your application or speak directly with an admissions counselor.
Ans) We offer over 80 college and college preparatory courses covering fields such as health sciences, business, engineering, design and more.
Ans) Students receive personalized academic advising, tutoring, and regular progress monitoring to help them succeed.
Ans) Yes! We offer comprehensive college application support, including program selection, personal statement writing, and meeting deadlines.

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GRADE-10

Principles of Mathematics

Course Code: MPM2D
Subject: Principles of Mathematics
Course Type: Open
Prerequisite: None

MPM2D-GRADE 10 Principles of Mathematics

Student Information & Enrollment

Futures Canadian School

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This course introduces students to computer systems, networking, and interfacing, as well as electronics and robotics. Students will assemble, repair, and configure computers with various types of operating systems and application software. Students will build small electronic circuits and write computer programs to control simple peripheral devices or robots. Students will also develop an awareness of related environmental and societal issues and will learn about secondary and post-secondary pathways and career opportunities in computer technology.

TEJ2O introduces key concepts in:

Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry’s standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged

Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry’s standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. It has survived not only five centuries, but also the leap into electronic typesetting, remaining essentially unchanged

Education

This course is designed for current or aspiring teachers looking to gain qualifications to teach in Ontario schools. Led by experienced instructors, this course covers everything from curriculum planning to classroom strategies.

Frequently Asked Questions

Ans) Yes, Futures Canadian School is fully inspected and accredited by the Ontario Ministry of Education to ensure that we meet the highest standards of academic quality.

Ans) You can reach us by email, phone or through our website to begin your application or speak directly with an admissions counselor.

Ans) We offer over 80 college and college preparatory courses covering fields such as health sciences, business, engineering, design and more.

Ans) Students receive personalized academic advising, tutoring, and regular progress monitoring to help them succeed.

Ans) Yes! We offer comprehensive college application support, including program selection, personal statement writing, and meeting deadlines.

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