Integer Sequences—Should You Believe in Patterns?

Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.

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CCSS: Designed
Instructional Ideas

  • Use to introduce explicit arithmetic and geometric sequence formulas
  • Encourage discussion through collaborative teaming or pair-and-share strategies
  • Connect arithmetic and geometric sequences to linear and exponential functions
Classroom Considerations

  • Learners with knowledge of recursive formulas can make the connection to the explicit notation quickly; other will need more time and practice with the notation
  • The first in a series of 26 related resources
Pros

  • Multiple representations are used to make connections between the sequence of numbers and their patterns
  • Well-designed module with a logical progression of content
Cons

  • None