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Three points on a circle

The lesson aims to challenge and extend students' understanding of the equation of a circle. Students work collaboratively, following guided questions to explore the relationships between the coefficients of a quadratic equation. The lesson is aimed to challenge students' thinking, encouraging them to explore and deepen their conceptual understanding. The resource includes classroom examples, teacher notes and guided questions.

Additional details

Year level(s) Year 10
Audience Teacher
Purpose Assessment task, Extension, Student task, Teaching resource
Format Downloadable resources
Teaching strategies and pedagogical approaches Collaborative learning, Differentiated teaching, Explicit teaching, Feedback, Mathematics investigation
Keywords circle, coordinates, gradients, equation of a circle, simultaneous equations

Curriculum alignment

Curriculum connections Critical and creative thinking, Numeracy
Strand and focus Space, Measurement, Algebra, Apply understanding, Build understanding
Topics Algebraic expressions, Angles and geometric reasoning
AC: Mathematics (V9.0) content descriptions

Recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate

Copyright details


Inquiry Maths


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