This course enables you to: Number Sense and 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 and 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 solve problems.