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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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

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.

Key skills

  • Identify pattern type
  • First difference
  • Second difference
  • Linear patterns
  • Nth term
  • Sequences
  • Quadratic patterns
  • a = 1

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included