MATHEMATICS DEPARTMENT
Course Code: MPM 1D1
Course Name: Principles of Mathematics
Level: Grade 9 Academic
Instructor:
Period:
Room Number:
Course Overview:
This course 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. They will also explore relationships that emerge from the measurement of three-dimensional figures and the twodimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Connection to our Catholic Faith:
Students
will applyStrands
Catholic values
pose and solve
to make logicalinclude:
decisions, and to become critical thinkers who share their
Specific
oftoStudy
andproblems,
Expectations
abilities for the benefit of all in their classroom and school community. A supportive mathematics classroom provides a caring and sensitive
environment where the dignity and value of all students is respected and affirmed as they grow in confidence in their mathematical
abilities. Mathematical investigations will promote a respect for God’s creation and an understanding of the need to use resources wisely. A
student will become self-directed, responsible and life-long learner in the mathematics classroom.
Specific Strands of Study and Expectations include:
NUMBER SENSE AND ALGEBRA:
* demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simple expressions.
* manipulate numerical and polynomial expressions, and solve first-degree equations.
1. Operating with Exponents.
2. Manipulating Expressions and Solving Equations.
LINEAR RELATIONS:
* 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.
1. Using Data Management to Investigate Relationships
2. Understanding Characteristics of Linear Relations
3. Connecting various Representations of Linear Relations
ANALYTIC GEOMETRY:
* 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 slope and y-intercept of a linear relation;
* solve problems involving linear relations.
1. Investigating the Relationship between the Equation of a Relation and the Shape of its Graph
2. Investigating the Properties of Slope
3. Using the Properties of Linear Relations to Solve Problems
MEASUREMENT AND GEOMETRY:
* determine, through investigation, the optimal values of various measurements;
* solve problems, involving the measurements of 2-D shapes and the surface arrears and volumes of 3-D figures;
* verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving 2-D shapes,
and apply the results to solving problems.
1. Investigating the Optimal Values of Measurements.
2. Solving Problems Involving Perimeter, Area, Surface Area, and Volume
3. Investigating and Applying Geometric Relationships
Efforts will be made to meet the individual learning needs of students in order to ensure these expectations
are being met.
Course Breakdown
Resources:
The first week of class will include Diagnostic Assessments in
preparation for Grade 9 course material.
Unit 1:
Unit 2:
Unit 3:
Unit 4:
Unit 5:
Unit 6:
Unit 7:
Unit 8:
Mathematical Processes
Relations
Polynomials
Equations
Modelling with Graphs
Analyse Linear Relations
Geometric Relationships
Measurement Relationships
Note: EQAO and Final Examination at the end of
semester.
The course will use a variety of resources including video, CD-ROM,
Internet Applications and a variety of print sources. The textbook,
McGraw Hill (Principles of Mathematics 9), will be distributed to
students during the first week of the course. The text and all other
resources assigned to students are the responsibility of the student.
Any damage incurred will result in payment for replacement ($100.00).
Evaluation Structure:
Knowledge/Understanding
30 %
Application
30 %
Communication
20 %
Thinking
20 %
The above is reflected both in the term work (worth 70% of the final
mark) and the summative work (worth 30% of the final mark).
Summative work consists of the Final Exam, and the EQAO Assessment
Task.
Evaluation Policy: Students will be assessed & evaluated according to the work produced & skills displayed.
Methods of providing feedback will
include assessing work in process & evaluating completed assignments, tests, co-operative learning activities, simulations and presentations. Peer & selfevaluations will also be utilized. Student marks will be determined by evaluating process & product according to 4 categories & 4 levels. Please see the
chart below for specific skills and key words used to determine student competency in the different categories.
Level
Level 1:
Level 2:
Level 3:
Level 4:
Category
50-59%
60-69%
70-79%
80-100%
Knowledge/Understanding
-Limited display of
-Some success in
-Considerable display -Thorough
knowledge, skills
displaying
of knowledge skills
understanding of

Knowledge of facts & terms
and ability to apply knowledge, skills
and ability to apply
concepts and ability

Understanding of concepts & relationships
concepts
and application
concepts
to communicate,
Thinking/Inquiry
of concepts
think creatively and

Critical thinking skills
apply concepts

Creative thinking skills

Inquiry Skills
Communication

Communication of ideas and information

Use of symbols & visuals

Oral & written communication
Application

Applications in familiar contexts

Transfer of concepts to new contexts

Making logical conclusions and predictions

Use of technology

Making connections
Feedback will also be provided for student learning skills. Skills such as responsibility, organization, independent work, collaboration, initiative and self
regulation are assessed independently student achievement and will be conducted through the use of a rubric indicating specific criteria to be achieved to
receive each of the following letter grades:
E –Excellent
G – Good
S – Satisfactory
N - Needs Improvement
Other Evaluation Issues
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LATE ASSIGNMENTS. Assignments submitted after the Primary Due Date established by the teacher will be accepted with a penalty of
5% off for the first day late and 2% for subsequent days to a maximum of 10%. This four day Penalty Zone is the maximum time allowed
for submissions. The fourth day after the assignment is due is considered the Closure Date upon which no further assignments will be
accepted. If the teacher returns the marked assignments within the four day penalty zone, the date of return is considered the closure
date. Repeated lateness in submissions indicates poor organization skills and will result in parental contact and will be reflected in the
learning skills section of the report card.
INCOMPLETE ASSSIGNMENTS Assignments will be graded according to the extent with which they meet the criteria established in the
rubric or evaluation structure.
MISSED TESTS Tests missed with a legitimate reason will be written within a few days of the student returning from the absence.
Student eligibility to write the test and the date of writing will be at the discretion of the teacher in consultation with the department
head.
CULMINATING ACTIVITIES These activities will be due toward the end of the course. They are valued between 5 and 15 per cent of the
final mark and will reflect course material and competencies not otherwise reflected on the final exam.
Plagiarism in any form reflects academic dishonesty and will result in a mark of zero for the assignment in question