Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-7
New NZC (2026)
NZC26-P4-ALG-ER-K-Y10-01NZC26-P4-ALG-ER-P-Y10-03NZC26-P4-ALG-ER-K-Y10-05
Resources
- CorbettMaths - Solving quadratics by factorising (coefficient equal to 1)Questions PDF · Answers
- Dr Austin Maths - Solving Quadratics by Factorising or Formula Practice GridQuestions PDF · Answers
Terminology
- Quadratic equation
- Null factor law
- Factorise
- Root
- Completing the square
- Quadratic formula
- Discriminant
- Standard form
Task goals
- Foundation: Solve simple quadratic equations already given in factorised form, or that factorise directly with a coefficient of 1, using the null factor law.
- Proficient: Rearrange a quadratic equation into standard form, factorise (including a not equal to 1 or special cases), and solve for both roots.
- Excellence: Solve quadratic equations that do not factorise neatly by completing the square or applying the quadratic formula, and interpret the roots in context, including discriminant-based reasoning about the number of solutions.
Where this fits
What leads into this objective, and where it goes next.
Before
Completing the Square
Factorising double brackets (with a leading coefficient of 1)
Level 2 algebra review
You are here
Solving Quadratic Equations by Factorising (Null Factor Law)
Know
Finding square roots of numbers and solving quadratic equations are related but have some differences.
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y10-01
Do
Solving quadratic equations that are factorised or of the form x^2 + c = 0 (where c is an integer), and connecting the solutions to the x-intercepts of the related graph
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-03
Also under NA5-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.