Branchaud,+Chuck-920

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Chuck Branchaud  Coventry High School High School Probability and Statistics Final Project – Sample Survey

Introduction  §  This is a Probability and Statistics course whose prerequisite is Algebra 1. There are many levels of students, from students struggling to finish Algebra 2 to Calculus 2 students. It is a fun, interactive course that student tend to enjoy because of its applied learning style.  §  This unit will cover the topic of Creating, Implementing, and Analyzing a Sample Survey within the school.  §  Students are guided by the teacher throughout this process, but it is student driven as they make decisions and the path of the project is guided by these decisions. All content is student generated.  GSE’s:
 * M(DSP)–10–1 ** Interprets a given representation ** (e.g., box-and-whisker plots, scatter plots, bar graphs, line graphs, circle graphs, histograms, frequency charts) to make observations, to answer questions, to analyze the data to formulate or justify conclusions,  critique conclusions, make predictions, or to solve problems within mathematics or across disciplines or contexts (e.g. media, workplace, social and environmental situations). (State)

(IMPORTANT: //Analyzes data consistent with concepts and skills in M(DSP)–10–2//.) ||
 * M(DSP)–10–2 **Analyzes patterns, trends, or distributions in data in a variety of contexts** by determining, using, or analyzing measures of central tendency (mean, median, or mode), dispersion (range or variation), outliers, quartile values, estimated line of best fit, regression line, or correlation (strong positive, strong negative, or no correlation) to solve problems; and solve problems involving conceptual understanding of **the sample** from which the statistics were developed. (State) ||
 * M(DSP)–10– 3 **Identifies or describes representations or elements of representations that best display a given set of data or situation**, consistent with the representations required in M(DSP)–10–1. (State) ||
 * M(DSP)–10–6 In response to a teacher or student generated question or hypothesis decides the most effective method (e.g., survey, observation, research, experimentation) and sampling techniques (e.g., random sample, stratified random sample) to collect the data necessary to answer the question; collects, organizes, and appropriately displays the data; analyzes the data to draw conclusions about the questions or hypotheses being tested while considering the limitations of the data that could effect interpretations; and when appropriate makes predications, asks new questions, or makes connections to real-world situations. (Local)

(IMPORTANT: Analyzes data consistent with concepts and skills in M(DSP)–10–2.) || 

Goals   §  Students will be able to choose a topic of interest that is important to investigate to see if a need for change or formation exists.  §  <span style="font-size: 10pt; background: white; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students will be able to create survey questions that produce results that can be analyzed numerically to gather evidence for their topic of interest. <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';"> <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; background: white; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students will be able to choose a valid, reliable, and random sampling method. <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';"> <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; background: white; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students will be able implement the sample survey consistently. <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';"> <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; background: white; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students will be able to accurately analyze data to produce results that can be used to validate change or creation of programs. <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">

<span style="font-size: 10pt; background: white; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Pre- Activities <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students have been through the course learning about probability and will be able to use this as a measure of how accurate sample size will be. <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">The statistics work that has been done will help them to be successful at analyzing and interpreting the data. <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Lots of work has been done analyzing data so students will be able to accurately get information from the data. <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students have already used the class blog to exchange information.

Diversity of learners <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Most of the work done throughout this unit will be done in groups. <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">These groups will be changing every session so students will experience all types of people, learners, and backgrounds.

Collaboration with colleagues (on or off site) <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">A guest speaker from Amgen (a statistician) comes in to present to students the quality and use of sample surveys and how Amgen uses them in their business. <span style="font-size: 10pt; font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"> §  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students will be able to choose a topic of interest that is important to investigate to see if a need for change or formation exists.

<span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;"> <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';"> <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Lesson 1 – 1 period: <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students are grouped by the teacher to accommodate different participation abilities and levels. <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students discuss and come up with 3 topics from the following prompt that is discussed from the projector: <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">All topics are recorded on the board and each one is discussed by the entire class looking for: o  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Match to the criteria given. o  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Teacher eliminates any that won’t work. o  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">All results are posted to the class blog and students anonymously vote for their choice. <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;"> <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';"> <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">

Lesson 2 – 1 period: <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Results are tabulated from class blog to determine the main topic. <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">A class discussion will cover the items to be created and the criteria to follow: <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Groups are formed to distribute the contribution level evenly and they create 3 items according to the following: <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Questions are presented and good ones are kept to be reviewed for final print. Teacher guides the process and coaches students to analyze questions for validity and accuracy to the main topic. “Will you get the desired results with this question?” <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">All possible questions are numbered and posted to the class blog and each student votes for their top 5, in order.

<span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;"> <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';"> <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Lesson 3 – 2 periods: <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Results are tabulated from the class blog to determine the items being used. <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Teacher will present the different types of sampling methods and highlight the flaws and/or benefits to each, using: <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students will group up with mixed levels and discuss which method they propose to use. <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Each group presents their choice, and all choices are put on the class blog to vote on. Class 2 <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Voting is tabulated to determine the sampling method. <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">The details of the process are then decided upon and a plan of implementation is created as a class.

Lesson 4 – 2 periods: <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Analysis of data o  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Teacher will help in collection of all results. o  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students will then analyze results with the following writing prompt( M(DSP)–10–1, M(DSP)–10–2, M(DSP)–10–3, M(DSP)–10–6 )  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';"> <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">

<span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">This prompt is custom to their project. <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">All papers will be posted to the class blog for students to share thoughts and analysis. <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">

Extension <span style="font-size: 10pt; font-family: Symbol; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"> ·  <span style="font-size: 10pt; font-family: 'Comic Sans MS'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman';">Students that would like to present their results to administration in the building are welcome to and give the analysis to them to see if they want to initiate any change.

<span style="font-size: 12pt; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman';">