Mathematics Department
Victoria Park Collegiate Institute
PRINCIPLES OF MATHEMATICS
GRADE 10 - ACADEMIC
Ministry of Education Document: The Ontario Curriculum, Grades 9 and 10: Mathematics, 2005
Course Code:
MPM2D1
Credit Value:
Textbook:
Principles of Mathematics 10, McGraw-Hill Ryerson 2006
Replacement Cost is $80
Prerequisite:
Grade 9 Academic Math (MPM1D1/7)
1 Credit
DESCRIPTION (as per The Ontario Curriculum, Grades 9 and 10):
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 investigating the trigonometry of right and acute triangles.
Students will reason mathematically and communicate their thinking as they solve multi-step problems.
OVERALL GOALS:
By the end of this course, students will:
 Model and solve problems involving the intersection of two straight lines;
 Solve problems using analytic geometry involving problems of lines and line segments;
 Verify Geometric Properties of triangles and quadrilaterals, using analytic geometry;
 Determine the basic properties of quadratic relations;
y  x 2 to the algebraic representation y  a( x  h) 2  k ;
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Relate transformations of the graph
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Solve quadratic equations and interpret the solutions with respect to the corresponding relations;
Solve problems involving quadratic relations;
Use ratio and proportion to investigate similar triangles and solve problems related to similarity;
Solve problems involving right triangles, using the primary trigonometric ratios;
Solve problems involving acute triangles, using the sine law and cosine law.
COMMUNICATION:
Teachers are available for extra help by appointment or during announced scheduled times.
Mathematics Office:
Room 225
Telephone number:
(416) 395-3310, extension 20080
The best time to call is before 8:45 am.
Absences & Evaluations
1. If you know prior to the evaluation that you will be absent, make other arrangements with your teacher
regarding that particular assessment.
2. If for some reason you are absent on the day of an evaluation:
a. Call the Math Office before 8:45 am and speak with your teacher or leave a message for him/her.
b. On the first day back, a note from your parent/guardian is required.
Mathematics Department
Victoria Park Collegiate Institute
TEACHING, ASSESSMENT & EVALUATION STRATEGIES:
Throughout this course, students will develop their understanding of essential mathematical knowledge and
procedures. This knowledge becomes meaningful in reasoning, communicating, and solving problems based
on real-life situations. Technology, calculators and/or computer software, will be used to compliment the
teaching and application of mathematical skills and explore concepts where appropriate.
Student success is greatly enhanced by good attendance, behaviour, and class participation. Completion of
daily homework exercises and writing all evaluations will provide feedback on student learning. For courses
with multiple sections, summative evaluations will assess common expectations.
Quizzes and assignments will be scheduled throughout the course. A summative test will conclude a unit or a
group of related units. Below is a list of anticipated evaluations. This list may be modified to accommodate
circumstances that arise throughout the semester.
TASK
Unit 1: Linear Systems
Quiz: Substitution and Elimination
Test
Unit 2: Analytic Geometry & Geometric
Properties
Quiz: Analytic Geometry
Quiz: Geometric Properties
Test
Unit 3: Quadratic Relations
Quiz: Graphing Quadratics
Test
Unit 4: Quadratic Expressions
Quiz: Polynomials
Quiz: Factoring Quadratic Expressions
Test
Unit 5: Quadratic Equations
Quiz: Solving Quadratic Equations
Test
Unit 6: Trigonometry
Quiz: Trigonometric Ratios
Test
ACHIEVEMENT CATEGORIES
Knowledge/Application/Communication
Knowledge/Application/Communication/Thinking
Knowledge/Application/Communication
Knowledge/Application/Communication
Knowledge/Application/Communication/Thinking
Knowledge/Application/Communication
Knowledge/Application/Communication/Thinking
Knowledge/Application/Communication
Knowledge/Application/Communication
Knowledge/Application/Communication/Thinking
Knowledge/Application/Communication
Knowledge/Application/Communication/Thinking
Knowledge/Application/Communication
Knowledge/Application/Communication/Thinking
TERM MARK (70% OF FINAL GRADE):
KNOWLEDGE
APPLICATION
COMMUNICATION
THINKING
30%
30%
20%
20%
SUMMATIVE MARK (30% OF FINAL GRADE):
FINAL EXAM
DATE
LEARNING SKILLS:
Works Independently
Teamwork
Organization
Work Habits / Homework
Initiative
Self Regulation
30%
Categories evaluated as Needs Improvement,
Satisfactory, Good, or Excellent.
EVALUATION POLICY
Please refer to the Student Agenda.