Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of recursive formulas.

Concepts

arithmetic sequences, geometric sequences, the recursive formula

Show More Show Less

Additional Tags

math

Show More Show Less

Instructional Ideas

• Allow collaboration during each exercise and ask groups to share their findings; answers can be placed on the board to check for correct wording and notation
• Show parallel examples of notation using function and sequence notation along with recursive and explicit rules

Classroom Considerations

• Understanding of notation and vocabulary is key; consider using a graphic organizer to record similarities and differences between recursive and explicit formulas and variations in the notation
• Assumes a beginning level of understanding of explicit formulas
• The second in a series of 26 related resources

Pros

• Well-designed lesson with thought-provoking questioning
• All handouts, keys, and a teacher guide are included

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 MP6 MP8