<p> 6th Grade Mathematics </p><p>Unit 6: Statistics</p><p>Excerpts from Georgia Department of Education Webinar January 22, 2013</p><p> [email protected]</p><p>February 2013 Warm-Up</p><p>Zeke likes to collect buttons and he keeps them in a jar. Zeke can empty the buttons out of the jar, so he can see all of his buttons at once. </p><p>Which of the following are statistical questions that someone could ask Zeke about his buttons?</p><p> i. What is the typical number of holes in these buttons?</p><p> ii. Are there any gold buttons in this jar?</p><p> iii. How large is the largest button in the jar?</p><p> iv. How many buttons are green?</p><p> v. If Zeke grabbed a handful of buttons, what are the chances that all of the buttons in his hand are round?</p><p> vi. What is the typical size of a button in the jar? vii. What materials (e.g., plastic, metal, wood, etc.) were used to make these buttons? viii. How many buttons are in the jar?</p><p> ix. How many buttons have four holes?</p><p> x. How are these buttons distributed according to color?</p><p>Answers: i, v, vi, vii, x</p><p> [email protected]</p><p>February 2013 What’s the main idea of Unit 6?</p><p>• Deepen previous understandings of measurement and interpreting data. • Develop understanding of displaying and summarizing numerical data. • Develop understanding of quantitative measures of center and variability.</p><p> [email protected]</p><p>February 2013 Concepts & Skills to Maintain from Previous Grades</p><p> Analyzing patterns and seeing relationships</p><p> Fluency with operations on multi-digit numbers and decimals</p><p>Websites to help with the above:</p><p> www.aaamath.com</p><p> http://www.arcademicskillbuilders.com/</p><p> http://multiplication.com/</p><p> [email protected]</p><p>February 2013 Enduring Understandings from this Unit</p><p> Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers</p><p> Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.</p><p> Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.</p><p> Understand that numerical data can be displayed in plots on a number line, including dot plots, histograms, and box plots.</p><p> Summarize numerical data sets in relation to their context, such as by:</p><p> Reporting the number of observations.</p><p> Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.</p><p> Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.</p><p> Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered</p><p> [email protected]</p><p>February 2013 Examples & Explanations</p><p>1. Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston Kennels in the last six months.</p><p>13, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 20</p><p>Use an appropriate graph to summarize these birth weights. </p><p> [email protected]</p><p>February 2013 2. Below are the 25 birth weights, in ounces, of all the Labrador Retriever puppies born at Kingston Kennels in the last six months.</p><p>13, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 20</p><p>Describe the distribution of birth weights for puppies born at Kingston Kennels in the last six months. Be sure to describe shape, center, and variability. </p><p>The distribution of birth weights is centered at approximately 17 (median = 17 ounces, mean = 16.92 ounces), and the interquartile range is 2 ounces and the MAD is 1.15 ounces. The distribution has a longer tail for lower values. </p><p> The student edition for Unit 6 can be found at https://www.georgiastandards.org/Common- Core/Pages/Math-6-8.aspx </p><p>On the left side, please look under mathematics, 6 – 8. Then, the right side has a pull-down menu to access the units.</p><p> Additional parent guides will be posted to the parent resource page on http://www.hallco.org/boe/index.php (right had menu) as they become available. </p><p> [email protected]</p><p>February 2013</p>