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MPM2D Principles of Mathematics – GRADE 10

PREREQUISITE : Foundations of Mathematics, Grade 9, Applied (MFM1P) or Principles of Mathematics, Grade 9, Academic (MPM1D)

GRADE : 10 (Academic)


MPM2D online at Profectus enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. In MPM2D online, students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry; and investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

UNIT 1 :

Quadratic Relations Of The Form y ax2= +bx + c (27.5hrs)

Students will be able to:

  • Determine the basic properties of quadratic relations.
  • Relate transformations of the graph of y = x2 to the algebraic representation y = a(x – h) 2 + k.
  • Solve quadratic equations and interpret the solutions with respect to the corresponding relations.
  • Solve problems involving quadratic relations.

UNIT 2 :

Analytic Geometry (27.5hrs)

Students will be able to:

  • Model and solve problems involving the intersection of two straight lines.
  • Solve problems using analytic geometry involving properties of lines and line segments.
  • Verify geometric properties of triangles and quadrilaterals, using analytic geometry.

UNIT 3 :

Trigonometry (27.5hrs)

Students will be able to:

  • Use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity.
  • Solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem.
  • Solve problems involving acute triangles, using the sine law and the cosine law.


Course Culmination (27.5hrs)

The Culminating Unit incorporates all four strands of the Mathematics Curriculum, and covers the four achievement chart categories. It consists of two parts:

  • Culminating Project worth 30% and a
  • Final Exam worth 15%

Online Course Policies

Listed below are various mandatory policies as you take on this course.

  • Attendance is regularly tracked through student contributions to online discussion boards, assignment completion, and learning logs. Failure to complete allocated activities may challenge the student’s ability to attain the credit.
  • This course will be presented using an asynchronistic model whereby work will be posted on the Google Classroom and it is the student’s responsibility to complete it on their own time.
  • ALL portions of this course are intended to be learned and completed online.
  • Final Exams and Tests will be written on site at Profectus Academy of Toronto. Course instructors will relay this information to students and families.
  • The integrity of student work will be checked on an ongoing basis using Quetext or Turnitin. Plagiarism is not tolerated.

Assessment & Evaluation Policies

The Culminating Unit incorporates all four strands of the Canadian and World Studies Curriculum, and covers the four achievement chart categories. It consists of two parts.

Knowledge and Understanding

The final grade will be determined as follows:

  • 70% based on Assessment OF Learning (including conversations, observations and products) conducted throughout the course.
  • 30% based on Culminating Tasks administered at or towards the end of the course.

Assessment and evaluation is divided into two important parts. The grade the student receives on a midterm or final report indicates achievement/ proficiency in Curriculum Expectations. A level of competence (Needs Improvement, Satisfactory, Good or Excellent) will be assessed and reported in the area of Learning Skills and Work Habits: Independent Work, Collaboration, Responsibility, Initiative, Self-Regulation, and Organization.