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Grades 9/10/11 Linear Relations and Analytic Geometry
Linear and non-linear relations. Solving linear equations and linear systems. Analytic geometry and statistics.
This is one of seven strands of the CEMC Grade 9/10/11 courseware. The other strands and more information about this courseware is available on the Grade 9/10/11 homepage.
Units
Unit 1: Linear Equations
Unit 2: Characteristics of Linear Relations
Unit 3: Connecting Various Representations of Linear Relations
Unit 4: Properties of Slope
Unit 5: Equations of Linear Relations and Problem Solving
In this lesson, we will look at various forms of a linear equation. We will rearrange the equations from one form to another and solve problems involving the different forms of a linear equation.
In this lesson, we will compare the properties of linear relations to those of non-linear relations. We will use these properties to classify a relation as linear or non-linear.
In this lesson, we will consider application problems that encompass ideas and concepts presented throughout the linear relations units. These ideas will be extended to include identifying and interpreting a point of intersection graphically and setting restrictions on variables within a given context.
In this lesson, we will create graphs given a scenario and describe events given a graph. This lesson will include slope calculations that relate to average speed.
All of the pencil and paper practice exercises, answers, and solutions for this unit are reproduced here.
This is a collection of additional, and sometimes challenging, problems that extend the material covered in this unit, connect material from different lessons, and further explore real-world applications.