Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing quadratic sequences. 

Concepts

arithmetic sequences, geometric sequences, math modeling, linear functions, exponential functions

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Additional Tags

math

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Instructional Ideas

• As a review of sequences, have the class create multiple arithmetic and geometric sequences
• Provide tables of arithmetic and geometric sequences and have groups sort them

Classroom Considerations

• The lesson assumes the pupils have an understanding of sequences
• Some members of the class would benefit from seeing the table for sequences to determine a specific term
• The fifth in a 10-module series designed as the last unit in an Algebra I course

Pros

• Optional sequence review built in to start the lesson
• Examples provide multiple ways of answering the question 

Cons

• None

Common Core

HSA-CED.A.1 HSA-CED.A.2 HSF-BF.A.1.a HSF-LE.A.2 MP4 MP7