# Lesson Plan: Approximating a Binomial Distribution Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to approximate a binomial distribution with a normal distribution.

#### Objectives

Students will be able to

• understand how a binomial distribution approximates to a normal distribution and the conditions under which the approximation is valid,
• use the approximation of a normal distribution to find probabilities or -values of a binomial distribution,
• solve binomial distribution approximation problems involving real-life contexts,
• calculate the percentage error when using a normal distribution to approximate a binomial distribution.

#### Prerequisites

Students should already be familiar with

• the normal distribution, including its properties, finding probabilities, -values, and unknown parameters, and standardizing using transformations,
• continuous and discrete random variables,
• the binomial distribution, including its properties, finding probabilities, -values, and unknown parameters, and finding an unknown number of trials,
• the mean and the standard deviation ,
• basic probability rules.

#### Exclusions

Students will not cover

• using tables to calculate probabilities or -values using the normal distribution as an approximation for the binomial distribution,
• proof of the normal distribution,
• hypothesis testing related to the normal distribution.