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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.

Unit 1: Linear Equations

Unit 2: Characteristics of Linear Relations

Unit 3: Connecting Various Representations of Linear Relations

Unit 4: Properties of Slope

In this lesson, we will use the idea of rise and run to develop and work with the slope formula for a linear relation.

In this lesson, we will algebraically determine the equation of a line in the form ‌\(y=mx+b\) given a ‌\(y\)-intercept and a point, given a slope and a point, and given two points.

In this lesson, we will learn about the properties of slope for both parallel and perpendicular lines.

In this lesson, we will investigate horizontal and vertical lines.

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.

Unit 5: Equations of Linear Relations and Problem Solving

Unit 6: Solving Linear Systems of Equations

Unit 7: Properties of Line Segments and Using Analytic Geometry to Verify Geometric Properties

Unit 8: Data Management and Statistics