Course Type :Academic
Credit Value :1.0
Prerequisite :None

Course Description

The MPM2D – Principles of Mathematics course helps students improve their understanding of math. It aims to develop strong problem-solving and algebra skills. Through hands-on activities and the use of technology, students will dive into many math concepts.

Key areas of focus include:

  • Exploring quadratic relations and their uses in real life.
  • Solving and applying linear equations in different situations.
  • Using analytic geometry to check the properties of shapes.
  • Investigating trigonometry in right and acute triangles.

Throughout the course, students learn to think mathematically. They practice critical thinking. They also communicate their problem-solving steps clearly while tackling complex problems.

Discover how MPM2D can build a solid foundation for your math journey. Reach out to us today to learn more about the Principles of Mathematics Grade 10 (MPM2D)!

Outline of Course Content

Unit

Titles and Descriptions

Time and Sequence

Unit 1

Linear Systems

Linear relationships are not only important to understand for everyday used – understanding the interplay between distance in time for the calculation of speed, or rates of change in business, for example – but they are also foundational to more complex forms of mathematics. This unit reviews the concepts of linear algebra that were developed in Grade 9, and expands upon important procedures such as rearranging equations and developing accurate graphs.

20 hours

Unit 2

Analytical Geometry

Expanding upon the foundation built in the last unit, the equations of lines and line segments will be examined. Developing logical and mathematical methods for determining line segment length and midpoint, based upon an equation or upon coordinates, will enable a deeper study of geometric shapes & properties.

16 hours

Unit 3

Algebraic Skills

To progress beyond a certain point in any mathematics, some rather advanced algebraic skills must first be mastered. In this unit, students will consider various operations on monomials, binomials and polynomials. Factoring of binomials and trinomials will be studied.

16 hours

Unit 4

Quadratic Functions

Until this point, all algebraic relations that have been considered have been linear. In this unit, second-order functions are introduced. The concept of the function will be studied; the domain, range and simple transformations of quadratic functions will be explored; and students will learn how to “complete the square”.

 

16 hours

Unit 5

Quadratic Equations

Having explored quadratic functions graphically, the algebra of quadratic equations will be considered. The Quadratic Formula, which will be used extensively throughout all future math courses, will be derived and used

19 hours

Unit 6

Trigonometry

Triangles have a particularly significant role to play in mathematics. This unit is all about triangles and how they can be used to describe many phenomena in the universe. A review of Pythagorean Theorem will start the discussion, which will lead the student through sine, cosine and tangent ratios, the sine law and cosine law, and the ability to solve problems using these tools.

20 hours

Final Evaluation

The final assessment task is a three hour exam worth 30% of the student’s final mark.

3 hours

Total

110 hours

Since the over-riding aim of this course is to help students use language skilfully, confidently and flexibly, a wide variety of instructional strategies are used to provide learning opportunities to accommodate a variety of learning styles, interests and ability levels. These include:

Guided Exploration

Problem Solving

Graphing

Visuals

Direct Instruction

Independent Reading

Independent Study

Cooperative Learning

Multimedia Productions

Logical Mathematical Intelligence

Graphing Applications

Problem Posing

Model Analysis

Group discussion

Self-Assessments

Teachers will employ guided exploration, visuals, model analysis, direct instruction, problem posing and self-assessment to enable these student strategies.

Assessment is a systematic process of collecting information or evidence about student learning. Evaluation is the judgment we make about the assessments of student learning based on established criteria. The purpose of assessment is to improve student learning. This means that judgments of student performance must be criterion-referenced so that feedback can be given that includes clearly expressed next steps for improvement. Tools of varying complexity are used by the teacher to facilitate this. For the more complex evaluations, the criteria are incorporated into a rubric where levels of performance for each criterion are stated in language that can be understood by students.

Strategy

Purpose

Who

Assessment Tool

Self Assessment Quizzes

Diagnostic

Self/Teacher

Marking scheme

Problem Solving

Diagnostic

Self/Peer/Teacher

Marking scheme

Graphing Application

Diagnostic

Self

Anecdotal records

Homework check

Diagnostic

Self/Teacher

Checklist

Teacher/Student Conferencing

Assessment

Self/Teacher

Anecdotal records

Problem Solving

Assessment

Peer/teacher

Marking scheme

Investigations

Assessment

Self/Teacher

Checklist

Problem Solving

Evaluation

Teacher

Marking scheme

Graphing

Evaluation

Teacher

Checklist

Unit Tests

Evaluation

Teacher

Marking scheme

Final Exam

Evaluation

Teacher

Checklist

Assessment is embedded within the instructional process throughout each unit rather than being an isolated event at the end. Often, the learning and assessment tasks are the same, with formative assessment provided throughout the unit. In every case, the desired demonstration of learning is articulated clearly and the learning activity is planned to make that demonstration possible. This process of beginning with the end in mind helps to keep focus on the expectations of the course as stated in the course guideline. The evaluations are expressed as a percentage based upon the levels of achievement.

The assessment will be based on the following processes that take place in the classroom:

Assessment FOR LearningAssessment AS LearningAssessment OF Learning

During this process the teacher seeks information from the students in order to decide where the learners are and where they need to go.

During this process the teacher fosters the capacity of the students and establishes individual goals for success with each one of them.

During this process the teacher reports student’s results in accordance to established criteria to inform how well students are learning.

ConversationConversationConversation

Classroom discussion Self-evaluation Peer assessment

Classroom discussion Small group discussion Post-lab conferencesPresentations of research Debates
ObservationObservationObservation
Drama workshops (taking direction) Steps in problem solvingGroup discussionsPresentations Group Presentations
Student ProductsStudent ProductsStudent Products
Reflection journals (to be kept throughout the duration of the course)
Check Lists
Success Criteria
Practice sheets
Socrative quizzes
Projects
Poster presentations Tests
In Class Presentations

The evaluation of this course is based on the four Ministry of Education achievement categories of knowledge and understanding (25%), thinking (25%), communication (25%), and application (25%). . The evaluation for this course is based on the student’s achievement of curriculum expectations and the demonstrated skills required for effective learning.

The percentage grade represents the quality of the student’s overall achievement of the expectations for the course and reflects the corresponding level of achievement as described in the achievement chart for the discipline.
A credit is granted and recorded for this course if the student’s grade is 50% or higher. The final grade for this course will be determined as follows:

  • 70% of the grade will be based upon evaluations conducted throughout the course. This portion of the grade will reflect the student’s most consistent level of achievement throughout the course, although special consideration will be given to more recent evidence of achievement.
  • 30% of the grade will be based on a final exam administered at the end of the course. The exam will contain a summary of information from the course and will consist of well-formulated multiple choice questions. These will be evaluated using a checklist

Textbook

Nelson Principles of Mathematics 10 © 2008

Potential Resources

graphing calculator

various internet website.