Integer (Directed Number) Operations and Order of Operations

Add and subtract integers using a number line or counters, including simple negative results.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-2
New NZC (2026)
  • NZC26-P4-NUM-NSO-K-Y9-09
  • NZC26-P4-NUM-NSO-P-Y9-11
  • NZC26-P4-NUM-NSO-P-Y9-15
  • NZC26-P4-NUM-NSO-P-Y10-07
  • NZC26-P4-NUM-NSO-P-Y10-08

Resources

Terminology

  • integer
  • negative
  • positive
  • number line
  • order of operations
  • GEMA
  • BEDMAS

Task goals

  • Foundation: Add and subtract integers using a number line or counters, including simple negative results.
  • Proficient: Multiply and divide integers correctly applying sign rules, and combine addition/subtraction of directed numbers in short chains.
  • Excellence: Evaluate multi-step expressions mixing all four operations on directed numbers, applying order of operations and sign rules together.

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Integer (Directed Number) Operations and Order of Operations

Integer (Directed Number) Operations and Order of Operations

Know

A mnemonic, such as GEMA — Grouped (e.g. √(3^2 + 4^2)), Exponents (e.g. (−2)^3), Multiplicative (× and ÷), Additive (+ and −) — can be used to remember the order of operations.

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-K-Y9-09
Do

Adding, subtracting, multiplying, and dividing integers

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-11

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