Course 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.

Overall Provincial Curriculum Expectations

See Ontario math curriculum for grades 9 and 10 for details. See also this news article for possible changes to the grade 9 math curriculum.

A: Number Sense and Algebra

  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.

B: 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.

C: 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.

D: Measurement and 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, and apply the results to solving problems.

Specific Provincial Curriculum Expectations

A1: Operating with Exponents

A2: Manipulating Expressions and Solving Equations

B1: Using Data Management to Investigate Relationships

B2: Understanding Characteristics of Linear Relations

B3: Connecting Various Representations of Linear Relations

C1: Investigating the Relationship Between the Equation of a Relation and the Shape of Its Graph

C2: Investigating the Properties of Slope

C3: Using the Properties of Linear Relations to Solve Problems

D1: Investigating the Optimal Values of Measurements

D2: Solving Problems Involving Perimeter, Area, Surface Area, and Volume

D3: Investigating and Applying Geometric Relationships