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-P-Y9-01NZC26-P4-ALG-ER-P-Y10-01
Resources
- CorbettMaths - Expanding single bracketsQuestions PDF · Answers
- CorbettMaths - Factorising single bracketsQuestions PDF · Answers
Terminology
- Distributive law
- Expand
- Factorise
- Bracket
- Common factor
- Highest common factor
- Like terms
- Term
- Coefficient
Task goals
- Foundation: Expand a single bracket multiplied by a positive numeric coefficient, e.g. simplifying $3(x+2)$, and combine with simple like terms.
- Proficient: Expand expressions with negative or algebraic coefficients across one or more brackets and simplify by collecting like terms, then factorise simple binomial expressions by extracting the highest common numeric or algebraic factor.
- Excellence: Apply the distributive law and common-factor factorising within multi-step simplification or equation-solving problems, including expressions with combined numeric and variable common factors.
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 Using the Distributive Law (Foundational)
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.