Lesson Plan: Arithmetic Series Mathematics • 10th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to calculate the sum of the terms in an arithmetic sequence with a definite number of terms.

Objectives

Students will be able to

  • recognize the formula for the sum of an arithmetic sequence in terms of the first and last terms,
  • recognize the formula for the sum of an arithmetic sequence in terms of its first term and common difference,
  • find the sum of arithmetic sequences with a given number of terms, including a given range of terms, and examples where you know the first and last terms, and the first term and the common difference (or have the information to calculate these),
  • solve applied problems, including finding the number of terms given the sum and other necessary information.

Prerequisites

Students should already be familiar with

  • working with arithmetic sequences, including finding terms and general terms, working with formulas, and solving related problems.

Exclusions

Students will not cover

  • any series that are not arithmetic.

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