Students learn how to create formula, called the nth term, to algebraically describe a numerical and picture arithmetic sequences.  As learning progresses students are challenged to derive the nth term for a fractional sequence by considering its numerator and denominator and separately.

Differentiated Learning Objectives

• All students should be able to derive the nth term of a positive sequence.
• Most students should be able to derive the nth term of a positive and negative sequence
• Some students should be able to derive the nth term of a fractional sequence.

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Scheme of Work Link

Patterns and Sequences Foundation Arithmetic and Geometric Sequences Higher

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