# Lesson Plan: Arithmetic Mean Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the arithmetic means for any two nonconsecutive terms in an arithmetic sequence.

#### Objectives

Students will be able to

• recall how to calculate a single arithmetic mean between two numbers,
• understand that the terms between two nonconsecutive terms in an arithmetic sequence are known as “arithmetic means,”
• calculate arithmetic means inserted between two arbitrary numbers and solve related problems,
• solve problems related to the number of arithmetic means inserted between two numbers when given
• the difference between two consecutive means,
• the difference between any two numbered means,
• the value of a numbered mean,
• the sum of numbered means,
• the ratio between two numbered means,
• the ratio between two sums of numbered means.

#### Prerequisites

Students should already be familiar with

• arithmetic sequences.

#### Exclusions

Students will not cover

• geometric means,
• the sum of a finite arithmetic sequence.