MATHEMATICS DEPARTMENT
Course Code: MPM2D1
Course Name: Principles of Mathematics
Level: Grade 10 Academic
Instructor:
Period:
Room Number:
Course Overview:
This course enables students to broaden their understanding of relationships, and extend their problem-solving and algebraic
skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relations
and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry; and
investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking
as they solve multi-step problems.
Connection to our Catholic Faith:
Students will apply Catholic values to pose and solve problems, to make logical decisions, and to become critical thinkers who share their
abilities
for the benefit
of all in their
school
community. A supportive
mathematics classroom provides a caring and sensitive
Specific
Strands
of classroom
Studyand
and
Expectations
include:
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:
QUADRATIC FUNCTIONSOF THE FORM:
y  ax 2  bx  c
* determine the basic properties of quadratic relations;
* relate transformations of the graph of y  x 2 to the algebraic representation y  a( x  h) 2  k
* solve quadratic equations and interpret the solutions with respect to the corresponding relations;
* solve problems involving quadratic relations.
1. Investigating the Basic Properties of Quadratic Relations
2. Relating the Graph of y  x 2 and its transformations
3. Solving Quadratic Equations
4. Solving Problems Involving Quadratic Relations
ANALYTIC GEOMETRY:
* model and solve problems involving the intersection of two straight lines;
* solve problems using analytic geometry involving properties of lines and line segments;
* verify geometric properties of triangles and quadrilaterals, using analytic geometry.
1. Using Linear Systems to Solve Problems
2. Solving Problems Involving Properties of Line Segments
3. Using Analytic Geometry to Verify Geometric Properties
TRIGONOMETRY:
* 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 acute triangles, using the sine law and the cosine law.
1. Investigating Similarity and Solving Problems Involving Similar Triangles
2. Solving problems involving the trigonometry of right triangles
3. Solving problems involving the trigonometry of acute triangles.
Efforts will be made to meet the individual learning needs of students in order to ensure these
expectations are being met.
. Breakdown
Course
Resources: The course will use a variety of resources including video, CD-ROM,
to ensure
these
Chapter
1:
Linear
Systems
Chapter 2:
Chapter 3:
Chapter 4:
Chapter 5:
Chapter 6:
Chapter 7:
Chapter 8:
Analytic Geometry
Geometric Properties
Quadratic Relations
Quadratic Expressions
Quadratic Equations
Trigonometry of Right Triangles
Trigonometry of Acute Triangles
Internet Applications and a variety of print sources. The textbook, McGraw-Hill
Ryerson, Principles of Mathematics 10, 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 ($85.00).
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 a Culminating Activity.
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
Level 1:
Level 2:
Level 3:
Level 4:
Category
50-59%
60-69%
70-79%
80-100%
Knowledge/Understanding
-Limited display
-Some success
-Considerable
-Thorough
of knowledge,
in displaying
display of
understanding of
 Knowledge of facts & terms
knowledge,
knowledge skills
concepts and
 Understanding of concepts & relationships skills and ability
to apply
skills and
and ability to apply ability to
Thinking/Inquiry
concepts
application of
concepts
communicate,
 Critical thinking skills
concepts
think creatively
 Creative thinking skills
and apply concepts
 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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
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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