MPM2D COURSE OUTLINE

Course Title: Principles of Mathematics
Grade: 10

Ministry Course Code: MPM2D

Course Type: Academic

Credit Value: 1.00

Course Hours: 114

Department: Mathematics

Revision Date: N/A

Policy Document:
Mathematics, The Ontario Curriculum, Grades 9 and 10, 2005 (Revised)

http://www.edu.gov.on.ca/eng/curriculum/secondary/math910curr.pdf

Prerequisite: MPM1D, Principles of Mathematics, Grade 9, Academic or MFM1P, Foundations of Mathematics, Grade 9, Applied and MPM1H, Mathematics Transfer Course, Grade 9

Domestic Student Price: $550
International Student Price: $799

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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 multi-step problems.

OVERALL EXPECTATIONS

Quadratic Relations of the Form y = ax² + bx + c

By the end of this course, students will:

• determine the basic properties of quadratic relations;

• relate transformations of the graph of y = x2 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.

Analytic Geometry

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 properties of lines and line segments;

• verify geometric properties of triangles and quadrilaterals, using analytic geometry.

Trigonometry

By the end of this course, students will:

• 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.

OVERALL EXPECTATIONS

TEACHING AND LEARNING STRATEGIES

A variety of teaching and learning strategies are used to allow students many opportunities to attain the necessary skills for success in this course and in future studies. In all activities, consideration will be taken to ensure that individual students’ multiple intelligences and learning strengths are addressed through the use of varied and multiple activities in each lesson.

STRATEGIES FOR ASSESSMENT AND EVALUATION OF STUDENT PERFORMANCE

The primary purpose of assessment and evaluation is to improve student learning. Assessment and evaluation is based on the Ministry of Education’s Growing Success policy document, which articulates the Ministry’s vision for how assessment and evaluation is practiced in Ontario schools.

Growing Success describes the three assessment types as follows:

Assessment as Learning: focuses on the explicit fostering of students’ capacity over time to be their own best assessors, but teachers need to start by presenting and modelling external, structured opportunities for students to assess themselves.
Assessment for Learning: the process of seeking and interpreting evidence for use by learners and their teachers to decide where the learners are in their learning, where they need to go, and how best to get there.
Assessment of Learning: the assessment that becomes public and results in statements or symbols about how well students are learning.

ASSESSMENT AND EVALUATION

EVALUATION SCHEME

A final grade (percentage mark) is calculated at the end of the course and reflects the quality of the student’s achievement of the overall expectations of the course, in accordance with the provincial curriculum.

The final grade will be determined as follows:

Seventy percent (70%) of the grade will be based on evaluation conducted throughout the course. This portion of the grade should reflect the student’s most consistent level of achievement throughout the course, although special consideration should be given to more recent evidence of achievement.
Thirty percent (30%) of the grade will be based on a final evaluation administered at or towards the end of the course. This evaluation will be based on evidence from one or a combination of the following: an examination, a performance, an essay, and/or another method of evaluation suitable to the course content. The final evaluation allows the student an opportunity to demonstrate comprehensive achievement of the overall expectations for the course.

PLAGIARISM

Plagiarism is a serious offense. It is defined as taking words, phrasing, sentence structure, or any other element of the expression of another person’s ideas, and using them as if they were your own. Plagiarism is a violation of another person’s rights, whether the material taken is great or small.Students will be assisted in developing strategies and techniques to avoid plagiarism. They need to be aware that plagiarized term work will be penalized and could result in a mark of zero.