Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA4-7
New NZC (2026)
NZC26-P4-ALG-ER-K-Y10-06NZC26-P4-ALG-ER-P-Y9-01NZC26-P4-ALG-ER-P-Y10-01
Resources
- Dr Austin Maths - Factorising Quadratics by Taking Out Common Factors Practice GridQuestions PDF · Answers
- CorbettMaths on expanding double brackets
- CorbettMaths - Factorising Harder QuadraticsQuestions PDF · Answers
Terminology
- Expand
- Factorise
- Bracket
- Expression
- Like terms
- Common factor
- Binomial product
- Quadratic trinomial
- Difference of squares
Task goals
- Foundation: Expand a single bracket and collect like terms in simple linear expressions.
- Proficient: Expand a binomial product (two brackets) and factorise expressions with a common factor.
- Excellence: Factorise quadratic trinomials and expressions using difference of squares, and use these to simplify or solve algebraically.
Where this fits
What leads into this objective, and where it goes next.
Before
Factors, Highest Common Factors & Primes
Multiples & Lowest Common Multiples
Solving inequalities
You are here
Expanding and Factorising Algebraic Expressions
Do
Simplifying and manipulating algebraic expressions involving sums, products, differences, and positive integer powers, by: collecting like terms; factorising using common factors; expanding products, including multiplying a single term by a bracketed term.
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-01
Also under NA4-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.