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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
Unit 6: Solving Linear Systems of Equations
Unit 7: Properties of Line Segments and Using Analytic Geometry to Verify Geometric Properties
In this lesson, we will develop and use the formulas to calculate the midpoint and length of a line segment with defined endpoints on a Cartesian plane.
In this lesson, we will problem solve using the concepts of slope, length, and midpoint of a line segment. We will consider problems involving lines and then problems involving triangles.
In this lesson, we will investigate the properties and characteristics of various quadrilaterals. We will verify some of these properties using analytic geometry using a multi-step strategy where necessary.
In this lesson, we will develop the equation of a circle. We will use the equation to sketch a circle and solve application problems.
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.