Support · Stage 5 · Circle geometry (Path)
Support Demonstrate that at any point on a circle there is a unique tangent to the circle, and that this tangent is perpendicular to the radius at the point of contact
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.
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.
Develop and apply the formula to find the area of a circle: A = πr², where r is the length of the radius
Stage 4 · Area Draft mapping
- Interactive toolEnrichmentMathigon: Circles and PiUse it for: Discover π and circle area interactively.
- Interactive toolStarterMathsisfun: Circle area by sectorsUse it for: Rearrange sectors to see why A = πr².
- Corbettmaths practice questions: Area: circlesUse it for: Free printable graded practice questions (with answers) on area: circles 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: Area: circlesUse it for: Short worked-example video on area: circles to model the method before practice or for flipped revision.