Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-6
New NZC (2026)
NZC26-P4-ALG-ER-P-Y9-02
Resources
- Alpha textbook: Forming expressions, Ex 11.01, pg 174
- Alpha textbook: Extras, PSE11A, pgs 174 & 175
Terminology
- equivalent
- expression
- like terms
- collect
- simplify
- expand
- bracket
- variable
- coefficient
- term
- unlike terms
- multiply out
Task goals
- Identify whether two expressions are equivalent by collecting like terms or using substitution to check their values.
- Explain why $2x+3x$ and $5x$ are equivalent, and why $4a+4$ and $8a$ are not.
- Verify equivalence by expanding brackets and collecting like terms, such as showing $2(x+5)$ equals $2x+10$ but not $2x+5$.
- Use algebraic properties such as commutativity and associativity to justify that $3(a+1)$ and $3a+3$ are equivalent expressions.
Where this fits
What leads into this objective, and where it goes next.
Before
Adding and Subtracting Expressions (Like Terms)
Operations with Algebraic Fractions
Expanding and Factorising Algebraic Expressions
You are here
Recognising equivalent algebraic expressions
Do
Generalising the properties of operations with variables (e.g. multiplication is distributive over subtraction)
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-02
Also under NA6-6:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.