UDL+Lesson+Plan

** UDL Lesson Plan **  **Lesson Title: Chi_Square Test**  ** Grade Level: 12 **  ** Subject: Goodness of Fit **  **Developed By: Cheryl Smith**  **Unit: Inferential Statistics**  **Abstract**** : ** ** In a goodness of fit test, the objective is to determine if a population has changed. Students will be able to determine this with an engaging activity of counting different colors of M&M candies in the individual packs they were given. ** **Length of lesson: 45 minutes**  <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** Pre Planning ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Big Idea (s)** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** M&M Manufacturing Company in Trenton NJ insists that different colors of their chocolate candy are dispersed into a 1.69 oz bags by weight, not by count. The big idea is to find out if the M&M candy population has changed in individual bags. If it has, then we will have enough evidence against the manufacturer’s claim, otherwise we will accept the original claim made by the manufacturer. ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Essential Questions:** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** How many red M&M’s have you counted? Is your observed count similar to the expected count? ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** Repeat the Question above for all colors listed in your table. ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**New Jersey Content Expectations:** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** MA.9-12. **** - [Cluster Statement] - Make inferences and justify conclusions from sample surveys, experiments, and observational studies  ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Objectives**** : ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; mso-list: l0 level1 lfo1; text-align: justify; text-autospace: ideograph-numeric; text-indent: -.25in;">** 1)  ****  The objective of Goodness of Fit Test is to determine if a population has changed.  ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; mso-list: l0 level1 lfo1; text-align: justify; text-autospace: ideograph-numeric; text-indent: -.25in;">**2)** **  Students will be able to determine if the data give good reason to reject the hypothesis that the distribution of a categorical variable is the same in several populations. ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Brief Description of Summative Assessment:** <span style="line-height: 150%; margin-right: .3in; text-align: justify; text-autospace: ideograph-numeric;"> **Students will record their findings in the tables that are provided to them.** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Students will be given an option to perform the test either using a graphing calculator or creating an excel spreadsheet for evidence of learning.** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> Brief Description of the Opening Activity: <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> In order to introduce students to the last of inferential testing technique called “Chi_Square”, I planned an opening activity hoping to engage everybody. I distributed 1.69 oz individually packed chocolate M&M Candy. Students will open their packs, transfer the candy in Ziploc bags to count the individual colors and record the numbers **. ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Exploration:** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Students will take their observed counts of different colors of candy and multiply the numbers by the claimed percentages by the manufacturer. These numbers will be recorded as expected counts. Then, they will take the squared difference of the two counts, divide by two and record the numbers for each color. Once they are done, they will add the row of numbers and record these numbers as Chi_Square.** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Check for Understanding** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> In this activity, what do you think we are trying to prove or disprove? The answer will reflect the understanding in correctly setting up the hypothesis. <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> Why do you think we calculated the squared differences of observed and expected counts? Does this remind you of the any other inferential tests we did previously? In particular, what would you name this quantity. <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> Explanation: <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**I will try to utilize UDL in representing the lesson in several different ways including engaging opening activity. Assessment will also include different techniques of expression. Students will be able to use the table provided, as well as graphing calculator, or excel spreadsheet.** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 200%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> ** UDL Lesson Plan ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Lesson Title: Chi_Square Test** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** Grade Level: 12 ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** Subject: Goodness of Fit ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Developed By: Cheryl Smith** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Unit: Inferential Statistics** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Abstract**** : ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** In a goodness of fit test, the objective is to determine if a population has changed. Students will be able to determine this with an engaging activity of counting different colors of M&M candies in the individual packs they were given. ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Length of lesson: 45 minutes** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** Pre Planning ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Big Idea (s)** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** M&M Manufacturing Company in Trenton NJ insists that different colors of their chocolate candy are dispersed into a 1.69 oz bags by weight, not by count. The big idea is to find out if the M&M candy population has changed in individual bags. If it has, then we will have enough evidence against the manufacturer’s claim, otherwise we will accept the original claim made by the manufacturer. ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Essential Questions:** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** How many red M&M’s have you counted? Is your observed count similar to the expected count? ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** Repeat the Question above for all colors listed in your table. ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**New Jersey Content Expectations:** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">** MA.9-12. **** - [Cluster Statement] - Make inferences and justify conclusions from sample surveys, experiments, and observational studies  ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Objectives**** : ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; mso-list: l0 level1 lfo1; text-align: justify; text-autospace: ideograph-numeric; text-indent: -.25in;">** 1)  ****  The objective of Goodness of Fit Test is to determine if a population has changed.  ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; mso-list: l0 level1 lfo1; text-align: justify; text-autospace: ideograph-numeric; text-indent: -.25in;">**2)** **  Students will be able to determine if the data give good reason to reject the hypothesis that the distribution of a categorical variable is the same in several populations. ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Brief Description of Summative Assessment:** <span style="line-height: 150%; margin-right: .3in; text-align: justify; text-autospace: ideograph-numeric;"> **Students will record their findings in the tables that are provided to them.** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Students will be given an option to perform the test either using a graphing calculator or creating an excel spreadsheet for evidence of learning.** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> Brief Description of the Opening Activity: <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> In order to introduce students to the last of inferential testing technique called “Chi_Square”, I planned an opening activity hoping to engage everybody. I distributed 1.69 oz individually packed chocolate M&M Candy. Students will open their packs, transfer the candy in Ziploc bags to count the individual colors and record the numbers **. ** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Exploration:** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Students will take their observed counts of different colors of candy and multiply the numbers by the claimed percentages by the manufacturer. These numbers will be recorded as expected counts. Then, they will take the squared difference of the two counts, divide by two and record the numbers for each color. Once they are done, they will add the row of numbers and record these numbers as Chi_Square.** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**Check for Understanding** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> In this activity, what do you think we are trying to prove or disprove? The answer will reflect the understanding in correctly setting up the hypothesis. <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> Why do you think we calculated the squared differences of observed and expected counts? Does this remind you of the any other inferential tests we did previously? In particular, what would you name this quantity. <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> Explanation: <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">**I will try to utilize UDL in representing the lesson in several different ways including engaging opening activity. Assessment will also include different techniques of expression. Students will be able to use the table provided, as well as graphing calculator, or excel spreadsheet.** <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;"> <span style="line-height: 200%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .3in; margin-right: .3in; margin-top: 0in; text-align: justify; text-autospace: ideograph-numeric;">