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MFM2P Foundations of Mathematics – GRADE 10

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

GRADE : 10 (Applied)


MFM2P online at Profectus enables students to consolidate their understanding of linear relations and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and hands-on activities. Students will develop and graph equations in analytic geometry; solve and apply linear systems, using real-life examples; and explore and interpret graphs of quadratic relations. In MFM2P online, students will investigate similar triangles, the trigonometry of right triangles, and the measurement of three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

UNIT 1 :


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 the surface areas and volumes of three-dimensional figures, and use the imperial and metric systems of measurement.

UNIT 2 :

Modelling Linear Relations (27.5hrs)

Students will be able to:

  • Manipulate and solve algebraic equations, as needed to solve problems.
  • Graph a line and write the equation of a line from given information.
  • Solve systems of two linear equations, and solve related problems that arise from realistic situations.

UNIT 3 :

Quadratic Relations of the Form y = ax2 + bx + c (27.5hrs)

Students will be able to:

  • Manipulate algebraic expressions, as needed to understand quadratic relations.
  • Identify characteristics of quadratic relations.
  • Solve problems by interpreting graphs of quadratic relations.


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.