Stage 5 · Equations C (Path) · Solve quadratic equations using a variety of methods · Topic: Equations & inequalities · Year 9, 10
Solve equations of the form (ax)² + bx + c = 0 by factorisation and by completing the square
Dot point ID k-10-2022-stage-5-equations-c-path/eqc-dra-stg5-01 · NESA code MA_K_10_CP_EQC_DRA_STG5_01 · See it on the NSW Curriculum website ↗
↩SupportBuild the prerequisite skills first · 7 resources★EnrichExtension & rich tasks · 6 resources
Outcomes for this focus area (MA5-EQU-P-02)
MA5-EQU-P-02 solves linear equations of more than 3 steps, monic and non-monic quadratic equations, and linear simultaneous equations (Path: Adv)Core resources for this dot point
On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.
Interactive tool
- 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.
Worksheet
- 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.
Video
- 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.
Focus area resources
Checked resources for Equations C (Path) as a whole (not mapped to a single dot point).
- Unit/PlanningStage 5 Unit 10 – expressions and equations (sample unit of learning)
- Unit/PlanningStage 5 Unit 12 – investigating parabolas (sample unit of learning)
- Unit/PlanningStage 5 Unit 3 – prisms and cylinders (sample unit of learning)
- Unit/PlanningStage 5 Unit 6 – constant rates of change (sample unit of learning)