Kitchener-Waterloo Collegiate and Vocational School
787 King Street West, Kitchener, Ontario, N2G 1E3
 tel: 519-745-6851  http://kci.wrdsb.ca
Principles of Mathematics, Grade 10, Academic: MPM 2DI
Prerequisite: Principles of Mathematics, Grade 9, Academic: MPM 1DI
Semester: Spring
Teacher: Mr. Smith,
Mr. Dyck, Ms. Palage
Block/Time:
Teacher Contact Information:
Room:
Email: mark_smith@wrdsb.on.ca, alan_dyck@wrdsb.on.ca,
felicia_palage@wrdsb.on.ca
Website: www.teachlearnlive.com, www.mspalage.yolasite.com
Course Description:
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 multistep problems.
Essential Learning
Students will demonstrate all essential learning listed below as evidenced through homework completion and formative
assessments to earn this course credit. In addition, students must achieve a passing final grade to earn the course credit.
 Solve a linear system of two equations and two unknowns using graphing.
 Solve a linear system of two equations and two unknowns using substitution.
 Solve a linear system of two equations and two unknowns using elimination.
 Model and solve applications of linear systems using substitution or elimination.
 Solve problems involving properties of line segments.
 Use analytic geometry to verify geometric properties.
 Solve problems involving similar triangles using ratios and proportions.
 Find the measure of angles and sides in right-angled triangles using the appropriate primary trig ratio.
 Find the measure of angles and sides in acute-angled (not right) triangles using the Sine Law and/or the Cosine Law.
 Factor (common, simple trinomial, complex trinomial, difference of squares).
 Graph and identify the key features of a parabola.
 Describe and graph transformations using the descriptors stretch/compress, translate, and reflect.
 Convert between the three different forms of a quadratic equation using a variety of methods.
 Solve a quadratic equation using a variety of methods.
 Solve optimization problems involving quadratic relations.
 Communicate mathematical thinking orally, visually, and in writing, using mathematical vocabulary and a variety of appropriate
representations, and observing mathematical conventions.
Units of Study
The Essential Learning (as listed above) will be covered throughout the semester as we explore the following units of study:
0. Algebraic Tools
1. Linear Systems
2. Trigonometry
3. Factoring
4. Quadratic Relations
5. Solving Quadratic Equations
6. Solving Problems Using Quadratics
7. Analytic Geometry
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Learning Skills
The following Learning Skills reflect student work habits and have been identified as key skills in determining student success in
academics and the work place. They are evaluated on the student’s provincial report card.
Learning Skills
Sample Behaviours
Responsibility
The student completes and submits class work, homework, and assignments according to agreed-upon timelines, as
well as taking responsibility for and managing his/her own behaviour.
Organization
The student establishes priorities to complete tasks on time and achieve goals.
Independent
Work
The student uses class time appropriately to complete tasks and follows instructions with minimal supervision.
Collaboration
The student responds positively to the ideas, opinions, values, and traditions of others while accepting various roles and
an equitable share of work in a group.
Initiative
The student looks for and approaches new tasks with a positive attitude and interest in learning.
Self-regulation
The student assesses and reflects critically on his/her strengths, needs, and interests. He/she sets individual goals and
monitors progress towards achieving them.
Evaluation Breakdown
70%
30%
Tests, Quizzes, Assignments
Culminating Activity/Final Evaluation
MSIP (Multi-Subject Instructional Period)
MSIP is a mandatory part of the student’s instructional day. Attendance and engagement lead to greater success by
providing time for assignment completion, practice and extra help, as well as library and computer access.
Textbooks
Students are responsible for the textbook assigned to them. A replacement fee of $70 to cover the cost of the book will be charged
if the textbook is lost or damaged. Students will be provided with access to an electronic version of the textbook if it is available.
Equipment
Students are expected to bring their own pencil, eraser, blue or black pen, red pen, ruler, calculator, lined paper, 3 ring binder,
and a positive attitude to class on a daily basis.
Academic Integrity
In cases where a student has not submitted major assessments or has submitted assessments that are plagiarized, the
parent/guardian will be contacted by the teacher or administrator. The student will still be expected to submit work that
demonstrates their understanding of the essential learning that was being assessed. The student may also be subject to additional
consequences and concerns with academic integrity that will be reflected on the provincial report card.
Please sign below indicating you have read and understood this course outline, including the requirements for successful
completion of this course, and return this sheet to your teacher:
Student Name (Print):
X
Student Signature
X
Parent / Guardian Signature (when student is under 18 years of age)
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