Algebra II Module 4, Topic D, Lesson 27: Teacher Version

Algebra II Module 4, Topic D, Lesson 27: Teacher Version

16 Pages · 2016 · 1.12 MB · English

This work is licensed under a. Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 27: Ruling Out Chance.

Algebra II Module 4, Topic D, Lesson 27: Teacher Version free download

NY S C OMM O N C O RE M AT HEM AT I C S C U RRI C UL UM M4 Lesson 27 ALGEBRA II Lesson 27 : Ruling Out Chance 343 This work is derived from Eureka Math ™ and licensed by Great Minds ©2015 Great Minds eureka mathorg This file derived from ALG II M4TE130 092015 This work is licensed under a Creative Commons Attribution NonCommercial ShareAlike 30 Unported License Lesson 27 : Ruling Out Chance Student Outcomes  Given data from a statistical experiment with two treatments, students create a randomization distribution  Students use a randomization distribution to determine if there is a significant difference between two treatments Lesson Notes In this lesson, students perform the five steps of a randomization test to assess if the tomato data provide evidence that the nutrient was effective All of the steps have been practiced or indirectly discussed in the previous two lessons; however, now e verything is detailed and performed together in context In the second half of the lesson, students begin the important task of developing their own randomization distributions —first manually and then using technology The use of technology is strongly enco uraged to assist in the steps of a randomization test, specifically a Web based randomization testing applet/calculator available at http://wwwrossmanchancecom/applets/AnovaShufflehtm This lesson may require slightly more time than the two previous lessons, but it is important that students have a solid understanding of these steps (and some familiarity with the technology) prior to moving on to the capstone experiences in the subsequent lessons Class wor k Opening (5 minutes) Before the start of the lesson, a sk students to recall what they have learned from earlier lessons, either in writing or by speaking to a neighbor, and then share with the class  To recap some highlights of the past few lessons:  You have learned how to carry out repeated random assignments to develop a randomization distribution for the difference in means of two groups  You have also established a method fo r determining if a specific difference value in this distribution is considered extreme or significant  When a specific difference is significant, it is evidence that the specific difference did not occur by chance alone and may have in fact occurred due to something other than chance ; for example, a treatment may have been imposed in one of an experiment ’s groups 1ex MP4 NY S C OMM O N C O RE M AT HEM AT I C S C U RRI C UL UM M4 Lesson 27 ALGEBRA II Lesson 27 : Ruling Out Chance 344 This work is derived from Eureka Math ™ and licensed by Great Minds ©2015 Great Minds eureka mathorg This file derived from ALG II M4TE130 092015 This work is licensed under a Creative Commons Attribution NonCommercial ShareAlike 30 Unported License Exercises 1 –4 (15 minutes) : Carrying Out a Randomization Test Before students begin the exercises, use the following question to encourage discussion about what is needed to carry out a randomization test Allow for multiple student responses  Think back to the work done with the tomato experiment Statisticians agree there are five important parts to the process of using randomiz ation to reach a conclusion in an experiment Using what we’ve learned, see how many you can come up with on your own Work through Exercises 1 –4 as a class Pose one question at a time , and allow sufficient time for discussion

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