Stage 5 · Non-linear relationships C (Path) · Graph circles and describe their features and transformations · Topic: Non-linear relationships & functions · Year 9, 10
Find the centre and radius of a circle with the equation in the form x² + y² + ax + by + c = 0 by completing the square
Dot point ID k-10-2022-stage-5-non-linear-relationships-c-path/nlc-cir-stg5-05 · NESA code MA_K_10_CP_NLC_CIR_STG5_05 · See it on the NSW Curriculum website ↗
Outcomes for this focus area (MA5-NLI-P-01)
MA5-NLI-P-01 interprets and compares non-linear relationships and their transformations, both algebraically and graphically (Path: Adv)Core resources for this dot point
On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.
Interactive tool
- Interactive toolStarterMaths Is Fun: Equation of a circleUse it for: Derives x² + y² = r² from Pythagoras, with an interactive.
Worksheet
- WorksheetDrillKuta free worksheet: Equations of circlesUse it for: Printable skills-practice sheet with answer key on equations of circles; good for drill or homework.
Focus area resources
Checked resources for Non-linear relationships C (Path) as a whole (not mapped to a single dot point).
- Unit/PlanningStage 5 Unit 11 – applying exponentials (sample unit of learning)
- Unit/PlanningStage 5 Unit 12 – investigating parabolas (sample unit of learning)
- Unit/PlanningStage 5 Unit 9 – surveying (sample unit of learning)
- Unit/PlanningStage 5 Year 10 – maths in science elective (sample unit of learning)