MATHEMATICS
Notre Dame Catholic Secondary School
Course Code: MPM1DB
Course Name: Principles of Mathematics, Grade 9
Level:
Academic
The Ontario Curriculum Grades 9 and 10, 2005
Plus additional topics in preparation for
International Baccalaureate Organization 2006,
Syllabus Outline, Mathematics SL
y
2.0
-4.0 -2.0
2.0
-2.0
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 two-dimensional shapes. Students will reason mathematically and communicate their
thinking as they solve multi-step problems.
Overall and Specific 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.
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.
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.
MEASUREMENT AND GEOMETRY:
* determine, through investigation, the optimal values opf various measurements;
* solve problems, involving the measurements of two-dimensional shapes and the surface arrears and volumes of threedimensional figures;
* verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving
two-dimensional shapes, and apply the results to solving problems.
x
4.0
Resources:
EffortsBreakdown
will be made to meet the individual learning
needs of students in order
Course
to ensure these expectations are being met.
Review and Preview
Unit 1 – Mathematical Processes
Unit 2 – Relations
Unit 3 – Polynomials
Unit 4 – Equations
Unit 5 - Modelling with Graphs
Unit 6 – Analyse Linear Relations
Unit 7 – Geometric Relationships
Unit 8 – Measurement Relationships
Unit 9 - Optimizing Relationships
Summative Assessment Task & EQAO
The course will use a variety of resources including
video, CD-ROM, Internet Applications and a variety of
print sources. The textbook, Principles of Mathematics
9, will be distributed to students. The text and all
other resources assigned to students are the
responsibility of the student. Any damage incurred will
result in payment for replacement. Replacement cost
for the text is $100.00.
Evaluation Structure::
Knowledge/Understanding
30 %
Application
30 %
Thinking/Inquiry
20 %
Communication
20 %
The above is reflected both in the term work (worth
70% of the final mark), EQAO Assessment Task (worth
10% of the final mark) and the Final Exam (worth
20 % of the final mark).
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 & self-evaluations 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
Category
Knowledge/Understanding
•
•
Knowledge of facts & terms
Understanding of concepts & relationships
Thinking/Inquiry
•
•
•
Critical thinking skills
Creative thinking skills
Inquiry Skills
Communication
•
•
•
Communication of ideas and information
Use of symbols & visuals
Oral & written communication
Level 1:
50-59%
Level 2:
60-69%
Level 3:
70-79%
Level 4:
80-100%
-Limited
display of
knowledge,
skills and
ability to
apply
concepts
-Some
success in
displaying
knowledge,
skills and
application
of concepts
-Considerable
display of
knowledge
skills and
ability to apply
concepts
-Thorough
understanding
of concepts and
ability to
communicate,
think creatively
and apply
concepts
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 like working independently, team work, organization, work habits and
homework, and initiative 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
§
§
§
§
§
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 percent 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.