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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

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

In this lesson, we will interpret the meaning of points on scatter plots, construct scatter plots, and draw curves or lines of best fit. In addition, we will determine the equation of a line of best fit.

In this lesson, we will learn how to pose problems, identify variables associated with a problem and formulate a hypothesis. We will learn how to carry out an investigation to determine if a relationship exists between two variables.

In this lesson, we will learn about different types of data and about bias in data collection. We will also examine different sampling techniques.

In this lesson, we will examine various ways to organize and display data. We will interpret graphs and identify potential problems with the display of data related to bias.

In this lesson, we will look at where probability is used in society.

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.