Course Code:    MPM1D

Prerequisite:     None

### Course Description

This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry & measurement and geometry through investigation, the effective use of technology & abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional ﬁgures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

#### Overall Expectations

Please refer to the Ontario Ministry of Education curriculum document for details of Overall and Specific Expectations HERE.

Number Sense & Algebra

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

Linear relations

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

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 & Geometry

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 & apply the results to solving problems.