Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA4-7NA5-7
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-01
Resources
- Dr Austin Maths - Simplifying Expressions Practice GridQuestions PDF · Answers
- Dr Austin Maths - Substitution into Expressions and Formulae Practice GridQuestions PDF · Answers
- CorbettMaths - Collecting Like Terms (simplifying)Questions PDF · Answers
- CorbettMaths - Expanding single bracketsQuestions PDF · Answers
- CorbettMaths - Solving equationsQuestions PDF · Answers
- CorbettMaths - SubstitutionQuestions PDF · Answers
Terminology
- expression
- simplify
- expand
- factorise
- equation
- solve
- variable
- substitute
Task goals
- Foundation: Mixed short-answer questions applying one algebraic procedure at a time (simplify, expand, or solve a one-step equation) with clear working expected.
- Proficient: Multi-step problems combining two procedures, such as expanding then simplifying, or forming and solving an equation from a worded context.
- Excellence: Achievement-standard-style problems requiring students to select and justify the correct procedure(s) for an unfamiliar worded or diagrammatic context, with full working shown.
Where this fits
What leads into this objective, and where it goes next.
Before
Expanding and Factorising Algebraic Expressions
Forming measurement expressions
Expanding single brackets
You are here
AS91027 Mixed Algebraic Procedures Practice (Achievement)
Do
Simplifying and manipulating algebraic expressions involving sums, products, differences, and positive integer powers, by: collecting like terms; factorising using common factors; factorising quadratic expressions with a leading coefficient of 1; expanding products, including multiplying a single term by a bracketed term, and multiplying two expressions each of the form ax + b, where a and b are integers; factorising by grouping (i.e. using the distributive law) (e.g. x^2 + 2x − 8 = x^2 + 4x − 2x − 8 = x(x + 4) − 2(x + 4) = (x − 2)(x + 4))
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-01
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.