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.

Concepts

arithmetic sequences, geometric sequences, number sequence, function notation, function rule

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Additional Tags

math

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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

Common Core

HSF-IF.A.1 HSF-IF.A.2 HSF-IF.A.3 HSF-IF.B.6 HSF-BF.A.1.a HSF-LE.A.1.a HSF-LE.A.2 HSF-LE.A.3 MP4 MP7 MP8