Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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 |
AC9M10A03
Recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate |
Copyright details |
|
| Organisation | Inquiry Maths |
| Copyright | © Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0. |
Related resources
-
Area of a triangle
This prompt extends students' thinking about the area of a non-right-angled triangle.
Resource details -
Simultaneous equations
This prompt presents simultaneous equations with related coefficients.
Resource details -
Solving quadratic equations inquiry
Using a very open prompt, students explore the product of linear expressions and the factorising of a quadratic expression.
Resource details -
Intersecting lines
Using this prompt will encourage students to apply their knowledge of linear equations and intersecting lines. It leads into simultaneous equations.
Resource details