# ALEX Learning Activity

## Is This Normal? Extending the Normal Distribution

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

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This learning activity provided by:
 Author: Lorie White System: Lauderdale County School: Rogers High School
General Activity Information
 Activity ID: 2603 Title: Is This Normal? Extending the Normal Distribution Digital Tool/Resource: Is This Normal? Extend - Desmos Activity Web Address – URL: http://teacher.desmos.com/activitybuilder/custom/5f009d78277abd3653443c34 Overview: Students will work through a Desmos activity on Normal Distribution. They will be reminded of how to find the mean and standard deviation of a data set. Students will practice doing both calculations. Next, using the mean and standard deviation they will define the intervals in a normal curve and will approximate the percentage of items in each interval using the Empirical Rule.This activity results from the ALEX Resource Development Summit.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2015 (2016) Grade: 9-12 Precalculus 41 ) Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. [S-ID4]
Learning Objectives:

Students will be able to:

• find the mean of a data set.
• find the standard deviation of a data set.
• use the mean and standard deviation to define the intervals in a normal distribution.
• use the empirical rule to approximate the area under the normal distribution.
Strategies, Preparations and Variations