Spatial patterns (including drawing next pattern and converting to pattern)

Draw, continue, and represent spatial patterns; identify the change from one term to the next; and use the pattern rule to find specific terms.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-9
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-11
  • NZC26-P3-ALG-ER-P-Y8-06

Resources

  • Alpha textbook: Spatial Patterns, Ex 12.04, pg 196-200
  • CorbettMaths on spatial patternsQuestions PDF · Answers

Terminology

  • Spatial pattern
  • Stage
  • Growing pattern

Task goals

  • Continue a spatial (tile or picture) pattern by drawing the next stage, using the visual structure shown in the given stages.
  • Convert a spatial pattern into a number pattern by counting and recording how many tiles are in each stage.
  • Describe how a spatial pattern grows from one stage to the next, such as how many tiles are added each time.
  • Given only the number pattern for a spatial sequence, find the counts for later stages, or work backwards to find the counts for earlier stages.
  • Check whether a stated conversion of a picture pattern into numbers is correct, and identify and correct an error if it is not.

Where this fits

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Spatial patterns (including drawing next pattern and converting to pattern)

Spatial patterns (including drawing next pattern and converting to pattern)

Do

Identifying the constant increase or decrease in a linear pattern, using variables and algebraic notation to represent the rule in an equation, and drawing on the rule to make conjectures

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-11

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