Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II activity introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to write a series and to find the finite sum.

Concepts

arithmetic series, series, finite, arithmetic sequences, sigma notation, formulas

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Additional Tags

math

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Instructional Ideas

• Provide opportunities for class members to practice independently
• Prove the finite arithmetic series formula

Classroom Considerations

• The class should be able to find the explicit formula of an arithmetic sequence

Pros

• Includes a warm-up connecting previous learned concepts to the lesson
• Shows two methods of finding sums

Cons

• None