# Lesson Plan: Finding Means and Standard Deviations in Normal Distributions Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find an unknown mean and/or standard deviation in a normal distribution.

#### Objectives

Students will be able to

• standardize a normal distribution with an unknown mean and/or standard deviation,
• calculate an unknown mean and/or standard deviation of a data set given probabilities of random variables that are normally distributed,
• solve problems involving real-life contexts, given probabilities and values on the normal distribution curve where the mean and/or standard deviation is unknown.

#### Prerequisites

Students should already be familiar with

• facts and properties of the normal distribution, including its shape and symmetry,
• mean and standard deviation ,
• the standard normal distribution and how to standardize a normal distribution with a known mean and standard deviation,
• finding probabilities or values on the normal distribution curve,
• basic probability rules,
• simultaneous equations.

#### Exclusions

Students will not cover

• finding an unknown mean and/or standard deviation using tables,
• proving the normal distribution,
• hypothesis testing related to the normal distribution.