Common difference is to arithmetic sequences as what is to linear equations? (Answer: slope) Pupils learn how arithmetic sequences can be considered as linear patterns. They then write linear equations to represent arithmetic sequences and to solve problems.

Concepts

arithmetic sequences, linear equations, formulas, slope, slope-intercept form, point-slope form

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Additional Tags

math

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Instructional Ideas

• Use the resource to introduce the relationship between arithmetic sequences and linear equations

Classroom Considerations

• Note that the lesson is not an introductory activity
• Learners need to be familiar with the explicit formula for the arithmetic sequences, as well as writing linear equations

Pros

• Considers both slope-intercept and point-slope forms
• Resource includes answer key

Cons

• No blank student worksheets

Common Core

HSF-BF.A.2 HSF-LE.A.2