Dufferin-Peel CDSB - Holy Name of Mary Catholic Secondary School

MPM 1D1: PRINCIPLES OF MATHEMATICS, ACADEMIC, GRADE 9

Description:

This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and 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.

Credit Value: 1.0

Prerequisite: none

Course Text: Principles of Mathematics 9, McGraw-Hill Ryerson

Replacement Cost: $74

Strand

Overall Expectations

Number Sense & Algebra

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

Linear Relations

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

Analytic Geometry

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

Measurement & Geometry

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

Other Courses:

MAT 1L1 MFM 1P1 MPM 1D1 MAT 2L1 MFM 2P1 MPM 2D1 MBF 3C1 MCF 3M1 MCR3U1 MAP 4C1 MDM 4U1 MHF 4U1 MCV 4U1

Strand	Overall Expectations
Number Sense & Algebra	demonstrate an understanding of the exponent rules of multiplication and division, and apply them to simplify expressions; manipulate numerical and polynomial expressions, and solve first-degree equations.
Linear Relations	apply data-management techniques to investigate relationships between two variables; demonstrate an understanding of the characteristics of a linear relation; connect various representations of a linear relation.
Analytic Geometry	determine the relationship between the form of an equation and the shape of its graph with respect to linearity and non-linearity; determine, through investigation, the properties of the slope and y-intercept of a linear relation; solve problems involving linear relations.
Measurement & Geometry	determine, through investigation, the optimal values of various measurements; solve problems involving the measurements of two-dimensional shapes and the surface areas and volumes of three-dimensional figures; verify, through investigation facilitated by dynamic geometry software, geometric properties and relationships involving two-dimensional shapes, and apply the results to solving problems.