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MPM1D Principles of Mathematics – GRADE 9


GRADE : 9 (Academic)


MPM1D online at Profectus enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. In MPM1D online, they will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

UNIT 1 :

Number Sense and Algebra (22hrs)

Students will be able to:

  • demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simplify expressions;
  • manipulate numerical and polynomial expressions, and solve first-degree equations
  • Reflecting on Skills and Strategies: reflect on and identify their strengths as listeners and speakers, areas for improvement, and the strategies they found most helpful in oral communication situations.

UNIT 2 :

Linear Relations (22hrs)

Students will be able to:

  • apply data-management techniques to investigate relationships between two variables
  • Demonstrate an understanding of the characteristics of a linear relation
  • Connect various representations of a linear relation

UNIT 3 :

Analytic Geometry (22hrs)

Students will be able to:

  • Determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity
  • Determine, through investigation, the properties of the slope and y-intercept of a linear relation
  • Solve problems involving linear relations

UNIT 4 :

Measurement and Geometry (22hrs)

Students will be able to:

  • Determine, through investigation, the optimal values of various measurements
  • Solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional figures
  • Verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems


Course Culmination (22hrs)

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 15% 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 primary purpose of assessment and evaluation is to improve student learning. The Achievement Chart for Mathematics will guide all assessment and evaluation.

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.