Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-5
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-03
Resources
- Dr Austin Maths - Solving Quadratics by Factorising or Formula Practice GridQuestions PDF · Answers
- Dr Austin Maths - Quadratic Equations Revision Practice GridQuestions PDF · Answers
- Dr Austin Maths - Solving Quadratics Using Different Methods Practice GridQuestions PDF · Answers
Terminology
- quadratic equation
- factorise
- zero-product property
- root
- coefficient
- rearrange
Task goals
- Solve a quadratic equation that is already given in factorised form, such as (2x + 1)(x + 3) = 0, using the zero-product property.
- Factorise a quadratic trinomial ax^2 + bx + c where a is not 1, by finding two numbers that multiply to a*c and add to b, splitting the middle term, and factorising by grouping, then solve the resulting equation.
- Rearrange a quadratic equation into the form ax^2 + bx + c = 0 before factorising and solving.
- Given one root of a factorised quadratic equation, find the other root without fully re-solving.
- Find an unknown coefficient in a quadratic equation given its two roots.
- Identify or explain an error in a student's incorrect factorisation or solution of a quadratic equation.
- Create a quadratic equation from a given pair of factors or roots, then solve it, and compare the relative difficulty of factorising two different quadratic equations.
Where this fits
What leads into this objective, and where it goes next.
Before
Solving quadratics
Solving Quadratic Equations by Factorising (Null Factor Law)
Solving Factorised Equations (Null Factor Law)
You are here
Solving quadratics where a ≠ 1
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
Also under NA6-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.