Support · Mathematics Advanced 11–12 – Year 11 · Trigonometric identities and equations
Support Evaluate trigonometric expressions using angles of any magnitude and complementary angle identities
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
Describe an identity as an equation that is true for all values of the pronumeral and relate the identity to coincident lines
Stage 5 · Equations C (Path) Draft mapping
- Corbettmaths practice questions: Identities, Formula, Equations etcUse it for: Free printable graded practice questions (with answers) on identities, formula, equations etc for drill or a quick check.
- VideoStarterCorbettmaths video: Identities, Formula, Equations etcUse it for: Short worked-example video on identities, formula, equations etc to model the method before practice or for flipped revision.
Solve equations of the form (ax)² + bx + c = 0 by factorisation and by completing the square
Stage 5 · Equations C (Path) Draft mapping
- Interactive toolStarterMathigon: Quadratic equationsUse it for: Visual introduction to parabolas and solving quadratics.
- Interactive toolStarterMaths Is Fun: Completing the squareUse it for: Visual explanation of completing the square.
- Corbettmaths practice questions: Algebra: completing the squareUse it for: Free printable graded practice questions (with answers) on algebra: completing the square for drill or a quick check.
- Corbettmaths practice questions: Quadratics: solving (factorising)Use it for: Free printable graded practice questions (with answers) on quadratics: solving (factorising) for drill or a quick check.
- WorksheetDrillKuta free worksheet: Solving quadratics by completing the squareUse it for: Printable skills-practice sheet with answer key on solving quadratics by completing the square; good for drill or homework.
- WorksheetDrillKuta free worksheet: Solving quadratics by factoringUse it for: Printable skills-practice sheet with answer key on solving quadratics by factoring; good for drill or homework.
- VideoStarterCorbettmaths video: Algebra: completing the squareUse it for: Short worked-example video on algebra: completing the square to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Quadratics: solving (factorising)Use it for: Short worked-example video on quadratics: solving (factorising) to model the method before practice or for flipped revision.
Solve linear equations with pronumerals on both sides of the equation
Stage 5 · Equations A Draft mapping
- PhET Equality ExplorerUse it for: Use the balance-scale model to justify each step when solving linear equations.
- Corbettmaths practice questions: Equations: solvingUse it for: Free printable graded practice questions (with answers) on equations: solving for drill or a quick check.
- VideoStarterCorbettmaths video: Equations: letters both sidesUse it for: Short worked-example video on equations: letters both sides to model the method before practice or for flipped revision.
- VideoStarterEddie Woo (WooTube): Basic Equations playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on equations; play a clip to model a method or for revision.