OVERALL EXPECTATIONS

This course enables students to develop an understanding of mathematical concepts related to introductory algebra,proportional reasoning,and measurement and geometry through inves-tigation,the effective use of technology,and hands-on activities. Students will investigate real-life examples to develop various representations of linear relations,and will determine the connections between the representations.They will also explore certain relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

 For the following strands, it is expected that students will:

 Number Sense and Algebra

• solve problems involving proportional reasoning;
• simplify numerical and polynomial expressions in one variable,and solve simple first-degree equations. 

Linear Relations

• apply data-management techniques to investigate relationships between two variables; determine the characteristics of linear relations; 

• demonstrate an understanding of constant rate of change and its connection to linear relations; 

• connect various representations of a linear relation,and solve problems using the representations.

Measurement and Geometry

• determine,through investigation,the optimal values of various measurements of rectangles; 

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