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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.
|Year level(s)||Year 10|
|Purpose||Assessment task, Extension, Student task, Teaching resource|
|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 connections||Critical and creative thinking, Numeracy|
|Strand and focus||Geometry, Measurement, Algebra, Apply understanding, Build understanding|
|Topics||Algebraic expressions, Angles and geometric reasoning|
|AC: Mathematics content descriptions||
ACMNA267 Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations
© Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0.