Identifying linear, quadratic, and exponential patterns

Identify whether a pattern is linear, quadratic, or exponential by analysing the differences or ratios between consecutive terms.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA6-7
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-11

Resources

Terminology

  • pattern
  • linear pattern
  • quadratic pattern
  • exponential pattern
  • constant difference
  • first differences
  • second differences
  • constant ratio
  • sequence

Task goals

  • Classify patterns by examining how consecutive terms change.
  • Identify linear patterns using constant first differences.
  • Identify quadratic patterns using constant second differences.
  • Recognize exponential patterns by their constant ratio between consecutive terms.

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Identifying linear, quadratic, and exponential patterns

Identifying linear, quadratic, and exponential patterns

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