MPM2D/2DE 2013-2014
Principles of Mathematics, Grade 10, Academic
Course Content
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.
Sequence of Topics
Unit 1: Solving Linear Systems
Unit 2: Analytic Geometry
Unit 3: Trigonometry
Unit 4: Non-Linear Relationships
Mathematical Processes
The Mathematical Processes are a set of interconnected thinking skills that support lifelong learning in mathematics. Students develop and apply these skills in all math courses as they work to achieve the expectations outlined within each course. These skills are developed through problem-solving experiences that incorporate a variety of approaches, including investigation. The mathematical processes are:
· Problem Solving
· Reasoning and Proving
· Reflecting
· Selecting Tools and Computational Strategies
· Connecting
· Representing
· Communicating
Evaluation
Students will be evaluated according to the categories of Knowledge and Understanding, Application, Communication, and Thinking as specified in the achievement chart of the Ministry of Education and Training curriculum documents. Evaluation should be viewed as an opportunity to demonstrate achievement of course expectations. Evaluation will be varied, and will include assignments, mastery tests, unit tests and performance assessments. It may also include other assignments, projects, investigations, and classroom activities.
Evaluation Focus / Achievement Chart Categories / MarksTERM / Overall Expectations / · Knowledge and Understanding
· Application
· Thinking
· Communication / 60%
Mastery / · Knowledge and Understanding / 10%
SUMMATIVE / Summative Performance Task / · Thinking
· Communication / 10%
Final Examination / · Knowledge and Understanding
· Application
· Communication / 20%
Learning Skills
Learning skills are student habits and behaviours that enable them to learn effectively and achieve their potential. They are critical to success in all subject areas. Work habits, team work, initiative, independent work, and organizational skills will be assessed throughout the course, and communicated on the report card.
Student Absences
Students are responsible for all work missed regardless of the reason for the absence. If you are away, you WILL miss something important! Work must be completed before returning to school in order to remain connected to the development of the concepts.
Students who expect to miss school due to family vacations must notify the Principal in writing, in advance. Vacations cannot be recognized as legitimate reasons for exemption from formal evaluation.
Refer to Math Department policy on Missed / Late Assessments for more detailed information
Textbook
Your text is Principles of Mathematics 10 (McGraw-Hill). You must return it in the condition that you receive it or you will be charged a fee for damages.
Required Materials
Students are responsible for bringing the following: pencils, eraser, ruler, binder, graph paper, lined paper, and a scientific calculator.
(From Ministry of Education: The Ontario Curriculum Grades 9 and 10: Mathematics)By the end of this course, students will:
A: Quadratic Relations of the Form y = ax2 + bx + c
1. determine the basic properties of quadratic relations;
2. relate transformations of the graph of y = x2 to the algebraic representation y = a(x – h)2 + k;
3. solve quadratic equations and interpret the solutions with respect to the corresponding relations;
4. solve problems involving quadratic relations.
B: Analytic Geometry
1. model and solve problems involving the intersection of two straight lines;
2. solve problems using analytic geometry involving properties of lines and line segments;
3. verify geometric properties of triangles and quadrilaterals, using analytic geometry.
C: Trigonometry
1. use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;
2. solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem;
3. solve problems involving acute triangles, using the sine law and the cosine law.