Support · Mathematics Standard 11–12 – Year 11 · Applications of measurement
Support Solve practical problems requiring the calculation of perimeters and areas of triangles, rectangles, parallelograms, trapeziums, circles, sectors of circles and composite shapes in a variety of contexts
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
Prove angle properties of circles
Stage 5 · Circle geometry (Path) 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.
- Interactive toolStarterMathsisfun: Circle theoremsUse it for: Interactive inscribed-angle theorem.
- Corbettmaths practice questions: Circle theorems proof: angles at circumference/centreUse it for: Free printable graded practice questions (with answers) on circle theorems proof: angles at circumference/centre for drill or a quick check.
- Corbettmaths practice questions: Circle theorems – theoremsUse it for: Free printable graded practice questions (with answers) on circle theorems – theorems for drill or a quick check.
- WorksheetDrillKuta free worksheet: Inscribed anglesUse it for: Printable skills-practice sheet with answer key on inscribed angles; good for drill or homework.
- VideoStarterCorbettmaths video: Circle theorems proof: angles at circumference/centreUse it for: Short worked-example video on circle theorems proof: angles at circumference/centre to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Circle theorems proof: cyclic quadrilateralsUse it for: Short worked-example video on circle theorems proof: cyclic quadrilaterals to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Circle theorems – theoremsUse it for: Short worked-example video on circle theorems – theorems to model the method before practice or for flipped revision.
Calculate the areas of composite shapes involving quadrants, semicircles and sectors to solve problems
Stage 4 · Area Draft mapping
No checked resources on this prerequisite dot point yet.
Apply terminology associated with angles in circles
Stage 5 · Circle geometry (Path) Draft mapping
- Interactive toolStarterMathigon: Tangents, chords and arcsUse it for: Interactive introduction to circle geometry vocabulary and chord/tangent properties.
- 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.