GEMA (formerly BEDMAS)

Develop secure understanding of order of operations (GEMA/BEDMAS).

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-1
New NZC (2026)
  • NZC26-P4-NUM-NSO-K-Y9-09
  • NZC26-P3-NUM-NSO-K-Y7-13
  • NZC26-P3-NUM-NSO-K-Y7-14
  • NZC26-P3-NUM-NSO-P-Y7-17
  • NZC26-P3-NUM-NSO-P-Y8-14

Resources

  • Alpha textbook: BEDMAS (Check Your Understanding on pg 101)
  • Alpha textbook: Extra resource to introduce the “E” of BEDMAS
  • Other: Extraresource to introduce the “E” of BEDMAS
  • Other: Four 4s task— ask BBO how it works (worksheet here)
  • CorbettMaths worksheetQuestions PDF · Answers

Terminology

  • GEMA
  • BEDMAS
  • order of operations

Task goals

  • Recall the GEMA/BEDMAS order of operations: Grouping (Brackets), Exponents (Indices), Multiplication and Division (left to right), Addition and Subtraction (left to right).
  • Evaluate expressions with more than one operation by applying the correct order.
  • Evaluate expressions containing brackets, working from the innermost bracket outward.
  • Evaluate expressions containing indices/exponents in the correct order relative to other operations.
  • Recognise that multiplication and division are evaluated left to right, not multiplication before division.
  • Recognise that addition and subtraction are evaluated left to right, not addition before subtraction.
  • Identify and correct a common GEMA/BEDMAS error in a worked solution.

Where this fits

What leads into this objective, and where it goes next.

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GEMA (formerly BEDMAS)

GEMA (formerly BEDMAS)

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

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