S1+Amari,+Alyssa

=Stage 1 - Identify Desired Results= //Content Area//: Math //Grade Level:// Grade 6 //Domain//: Statistics and Probability //Standard//: Develop understanding of statistical variability + Summarize and describe distributions ||
 * **Establish Goals (MLR):** **(G)** ||
 * __Common Core State Standards__

//What understandings are desired?//
• Numerical data can be displayed in various forms such as: number lines, dot plots, histograms, and box plots that each have distributions that can be described by quantitative data. •Numerical data can be summarized through reporting the number of observations, describing the context in which the data was investigated, how the data was measured, and its units of measurement. ||
 * **//Students will understand that://** **(U)** ||
 * • Determining quantitative measures such as the mean, median, mode, interquartile range, and absolute deviation can help to describe the overall patterns of striking deviations with reference to the context in which the data was collected.

//What essential questions will be considered?//
•Why is it important to determine quantitative measures of data such as mean, median, mode, interquartile range, and absolute deviation? •How can different sets of data or displays be summarized, described, or observed? ||
 * **Essential Questions:** **(Q)** ||
 * •How can data be displayed in different ways?

//What key knowledge and skills will students acquire as a result of this unit?//
•__Critical Details__: displaying numerical data in different forms (histogram, number line, dot plot, box plot), calculating (mean, median, mode, interquartile range, mean absolute deviation), recognizing patterns in data or data displays, relating quantitative measures to shape of data distribution, reporting observation. •__Formulas:__ for calculating mean, median, mode, interquartile range, and mean absolute deviation. || •__describe__ why the context in which the data was under investigation is important, as well as how the data was measured, and its units of measurement. •__represent__ numerical data in various forms. •__produce__ quantitative measures from sets of numerical data. •__analyze__ sets or displays of numerical data by making observations. •__consider__ quantitative measures when describing overall patterns or striking deviations referring to the the context in which the data was collected. •__recognize__ that a set of data that is collected to answer a statistical question has its own distribution that can be described by data displays and quantitative measures. ||
 * **//Students will know://** **(K)** || **//Students will be able to://** **(S)** ||
 * •__Vocabulary__: distribution, numerical data, number line, dot plot, histogram, box plot, context, mean, median, mode, variability, interquartile range, mean absolute deviation.


 * 2004 ASCD and Grant Wiggins and Jay McTighe.**