In this mathematics lesson students learn how to apply Pythagoras' Theorem to plot and derive the equation of circles on Cartesian axes.  As learning progresses they using the graphs to solve quadratic and linear equations simultaneously.

Differentiated Learning Objectives

• All students should be able to recognise the equation of a circle in the form x² + y² = r².
• Most students should be able to plot the equation of a circle.
• Some students should be able to use the equation of a circle to solve simultaneous equations graphically.

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Scheme of Work Link

Graphical Functions, Circles and Tangents 

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