# MPM1D - Principles of Mathematics, Academic

20 Hours

Online - Live Teacher

1.0

Course Credit

110 Hours

Course Hours

10 Weeks

Course Length

Class Mode

• 1 on 1 (One Teacher to One Student)
• 1 on 4 (One Teacher to four Students)

Prerequisite

None

## Course Detail

In this course, you will develop an understanding of mathematical concepts related to introductory algebra, proportional reasoning, and measurement and geometry through investigation, the effective use of technology, and hands-on activities. You will investigate real-life examples to develop various representations of linear relations, and determine the connections between the representations. You will also explore certain relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. You will consolidate your mathematical skills as you solve problems and communicate your thinking.

## Number Sense and Algebra

Overall Expectations
By the end of this course, students will:

1. demonstrate an understanding of the exponent rules of multiplication and division,and apply them to simplify expressions;
2. manipulate numerical and polynomial expressions, and solve first-degree equations.

## Linear Relations

Overall Expectations
By the end of this course, students will:

1. apply data-management techniques to investigate relationships between two variables;
2. demonstrate an understanding of the characteristics of a linear relation;
3. connect various representations of a linear relation.

## Analytic Geometry

Overall Expectations
By the end of this course, students will:

1. determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity;
2. determine, through investigation,the properties of the slope and y-intercept of a linear relation;
3. solve problems involving linear relations.

## Measurement and Geometry

Overall Expectations
By the end of this course, students will:

1. determine, through investigation, the optimal values of various measurements;
2. solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional figures;
3. verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.