Support · Mathematics Advanced 11–12 – Year 11 · Trigonometry and measure of angles
Support Recognise that both ratios arc length/circumference and area of sector/area of circle are equal to θ/one revolution where θ is the angle at the centre of a circle subtended by the arc
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 the arc on which an angle at the centre or circumference stands
Stage 5 · Circle geometry (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Arcs and central anglesUse it for: Printable skills-practice sheet with answer key on arcs and central angles; good for drill or homework.
Apply chord and angle properties of circles to find unknown angles and lengths in diagrams
Stage 5 · Circle geometry (Path) Draft mapping
- Interactive toolStarterMathsisfun: Circle theoremsUse it for: Interactive inscribed-angle theorem.
- 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 – examplesUse it for: Short worked-example video on circle theorems – examples 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.
Find the size of an angle given one of the trigonometric ratios for the angle using digital tools
Stage 5 · Trigonometry A Draft mapping
- Corbettmaths practice questions: Trigonometry introductionUse it for: Free printable graded practice questions (with answers) on trigonometry introduction for drill or a quick check.
- WorksheetDrillKuta free worksheet: Inverse trig ratiosUse it for: Printable skills-practice sheet with answer key on inverse trig ratios; good for drill or homework.
- VideoStarterCorbettmaths video: Trigonometry missing anglesUse it for: Short worked-example video on trigonometry missing angles to model the method before practice or for flipped revision.