Extrapolating linear, quadratic, and exponential patterns

Extend patterns by identifying their rule and predicting future terms for linear, quadratic, and exponential sequences.

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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
  • term
  • extend
  • extrapolate

Task goals

  • Extend linear patterns using constant differences.
  • Predict terms in quadratic patterns using differences and second differences.
  • Continue exponential patterns by identifying the constant multiplier.
  • Apply pattern rules to find specific terms in a sequence.

Key skills

  • Linear patterns
  • Quadratic patterns
  • Exponential patterns
  • Extrapolation
  • Nth term
  • Sequences
  • Second difference
  • a = 1

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included