In this course, you will develop an understanding of mathematical concepts related to introductory algebra, proportional reasoning, and measurement and geometry through investigation, the effective use of technology, and hands-on activities. You will investigate real-life examples to develop various representations of linear relations, and determine the connections between the representations. You will also explore certain relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. You will consolidate your mathematical skills as you solve problems and communicate your thinking.
Number Sense and Algebra
Overall Expectations
By the end of this course, students will:
- 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
Overall Expectations
By the end of this course, students will:
- 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
Overall Expectations
By the end of this course, students will:
- 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
Overall Expectations
By the end of this course, students will:
- 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.
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