Microteaching

A. Lesson Introduction
**Lesson Title:** What if we're not Normal? Discovering the Central Limit Theorem **Subjects:** Statistics, Math, Science, Social Studies, Marketing **Grade Level:** 10 - College

**B. Materials/Resources**
Document Camera Projector Interactive Whiteboard Student computers Online applet from onlinestatbook.com CLT activity worksheet TI84 Plus Calculator

C. Instruction Procedure/Activity Demo

 * 1. Review (Warmup) Questions: **
 * How do you describe a distribution?
 * What is the sample mean and sample standard deviation of a sampling distribution?


 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">2. Go over homework problems - [|Sample Mean Practice.pdf] **
 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">students check answers with group then use document camera to demonstrate solutions to difficult problems.


 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">3. Begin work on a review problem - 2010 AP Stat Free Response **
 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">Students will work individually on 2010 AP Stat Free Response Question #2a then discuss as a class.


 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">4. Central Limit Theorem Activity - [|Exploring the Central Limit Theorem.pdf] **
 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">show students how to log onto applet and use applet to review sampling distributions - Sampling Distribution Applet
 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">complete the uniform distributions as a class
 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">students will work in groups to complete CLT activity and make a conclusion about the CLT
 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">discuss findings as a class
 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">have students complete their notesheet on CLT - [|Chapter 9 Notes.pdf]


 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">5. Finish review problem - 2010 AP Stat Free Response **
 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">students discuss and complete 2010 AP Stat Free Response Question #2 (all parts)


 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">6. Homework **
 * <span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">textbook questions 9.35 - 9.41 odd.

<span style="color: #800000; font-family: Verdana,Geneva,sans-serif;">D. Method Explanation
<span style="color: #008000; font-family: Verdana,Geneva,sans-serif;">Use an online statistical applet to strengthen a student's understanding of sampling distributions and allow students to use discovery techniques to formulate their own definition of the Central Limit Theorem.