MPM1DE
2012 - 2013
Principles of Mathematics, Grade 9 Academic (Enriched)
Prerequisite: Grade 8 Mathematics
Policy Document: The Ontario Curriculum, Grades 9 and 10: Mathematics (2005)
Course Description
This course enables students to develop an understanding of mathematical concepts related to algebra, geometry, and
measurement 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. They will also explore relationships that emerge from the measurement of threedimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as
they solve multi-step problems.
Topics
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Rational Numbers, Powers and Polynomials
Linear Relations and Equations
Analytic Geometry
Investigating Relationships
Properties of Two-Dimensional Figures
Measurement
Mathematical Processes
The mathematical processes are a set of interconnected thinking skills that support lifelong learning in mathematics.
Students develop and apply these skills in all math courses as they work to achieve the expectations outlined within each
course. These skills are developed through problem-solving experiences that incorporate a variety of approaches,
including investigation. The mathematical processes are:
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Problem Solving
Reasoning and Proving
Reflecting
Selecting Tools and Computational Strategies
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Connecting
Representing
Communicating
Learning Skills
Learning skills are habits and behaviours that enable students to learn effectively. They are critical to success in all subject
areas. Initiative, independent work, organization, self-regulation, collaboration, and responsibility will be assessed
throughout the course, and communicated on the report card.
Student Absences
Students are responsible for all work missed regardless of the reason for the absence. If you are away, you will miss
something important! Work must be completed before returning to school in order to remain connected to the
development of the concepts.
Students who expect to miss school due to family vacations must notify the Principal in writing, in advance. Vacations
cannot be recognized as legitimate reasons for exemption from formal evaluation. Refer to Math Department policy as
well as school policy on Missed/Late Assessments for more detailed information.
MPM1DE
2012 - 2013
Textbook
Your textbook is Principles of Mathematics 9 (Nelson). You must return it in the condition that you receive it or you will
be charged a fee for damages.
Evaluation
The final mark consists of two components: term work (70%) and summative evaluation (30%)
Term Work
During the term, students will be evaluated against the overall expectations of the course, with respect to the categories of
Knowledge and Understanding, Application, Communication, and Thinking as specified in the achievement chart
categories of the Ministry of Education curriculum documents. Evaluation should be viewed as an opportunity to
demonstrate achievement of course expectations. Evaluation will be varied, and will include mastery tests (10% of final
mark), unit tests and performance assessments. It may also include other assignments, projects, investigations and
classroom activities.
Summative Evaluation
Summative evaluation occurs near the end of the course, and has two components: a final examination (15%) and
summative performance tasks(s) (15%). Attendance is mandatory for these evaluations. The final examination portion
of the summative evaluation may partly or entirely consist of EQAO.
Principles of Mathematics, Grade 9: Overall Expectations
(from: The Ontario Curriculum, Grades 9 and 10: Mathematics)
By the end of this course, students will:
A: Number Sense and Algebra
1. demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simplify expressions
2. manipulate numerical and polynomial expressions, and solve first-degree equations
B: Linear Relations
1. apply data-management techniques to investigate relationships between two variables
2. demonstrate an understanding of the characteristics of a linear relation
3. connect various representations of a linear relation
C: Analytic Geometry
1. determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity
2. determine, through investigation, the properties of the slope and y-intercept of a linear relation
3. solve problems involving linear relations
D: Measurement and Geometry
1. determine, through investigation, the optimal values of various measurements
2. solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional
figures
3. verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving twodimensional shapes, and apply the results to solving problems
MPM1DE
2012 - 2013
Evaluation Framework
SUMMATIVE
TERM
The breakdown of marks is described in the table below:
Evaluation Focus
Achievement Chart Categories
Marks
Overall Expectations
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Knowledge and Understanding
Application
Thinking
Communication
60%
Mastery
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Knowledge and Understanding
10%
Summative Performance Task
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Thinking
Communication
15%
Final Examination
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Knowledge and Understanding
Application
Communication
15%
The Overall Expectations mark (60%) is broken down further according to strand in terms of their relative importance in
the table below.
Strand
Weight
Number Sense and Algebra
13%
Linear Relations
17%
Analytic Geometry
17%
Measurement and Geometry
13%
For more detailed information about the overall expectations, refer to the course outline or ask your teacher.