Support · Stage 5 · Circle geometry (Path)
Support Prove angle properties of circles
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Identify and describe the relationship between circle features, including the radius, diameter, arc, chord, sector and segment of a circle, and a tangent to a circle
Stage 4 · Length Draft mapping
- Interactive toolEnrichmentMathigon: Circles and PiUse it for: Discover π and circle area interactively.
- Interactive toolStarterMaths Is Fun: CircleUse it for: Parts of a circle and circumference.
- Corbettmaths practice questions: Circles: partsUse it for: Free printable graded practice questions (with answers) on circles: parts for drill or a quick check.
- VideoStarterCorbettmaths video: Circles: partsUse it for: Short worked-example video on circles: parts to model the method before practice or for flipped revision.
Prove that the interior angle sum of a triangle is 180° with or without digital tools
Stage 4 · Properties of geometrical figures Draft mapping
- Interactive toolEnrichmentDesmos GeometryUse it for: Construct and drag figures to test angle conjectures.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- Corbettmaths practice questions: Angles: full circle (at a point)Use it for: Free printable graded practice questions (with answers) on angles: full circle (at a point) for drill or a quick check.
- WorksheetDrillKuta free worksheet: Angle sum of triangles and quadrilateralsUse it for: Printable skills-practice sheet with answer key on angle sum of triangles and quadrilaterals; good for drill or homework.
- WorksheetDrillKuta free worksheet: Triangle angle sumUse it for: Printable skills-practice sheet with answer key on triangle angle sum; good for drill or homework.
- VideoStarterCorbettmaths video: Angles: triangleUse it for: Short worked-example video on angles: triangle to model the method before practice or for flipped revision.
- VideoStarterEddie Woo (WooTube): Basic Properties of Geometrical Figures playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on properties of geometrical figures; play a clip to model a method or for revision.
Apply the formula for the circumference of a circle in terms of the diameter d or radius r (circumference of a circle = πd or 2πr) to solve related problems
Stage 4 · Length Draft mapping
- Interactive toolStarterMaths Is Fun: CircleUse it for: Parts of a circle and circumference.
- Corbettmaths practice questions: Circles: circumferenceUse it for: Free printable graded practice questions (with answers) on circles: circumference for drill or a quick check.
- WorksheetDrillKuta free worksheet: Area and circumference of circlesUse it for: Printable skills-practice sheet with answer key on area and circumference of circles; good for drill or homework.
- WorksheetDrillKuta free worksheet: Circumference and area of circlesUse it for: Printable skills-practice sheet with answer key on circumference and area of circles; good for drill or homework.
- VideoStarterCorbettmaths video: Circles: circumferenceUse it for: Short worked-example video on circles: circumference to model the method before practice or for flipped revision.