## Common Core State Standards for Mathematics

Grade(s) 6 resources related to the following standard:
Statistics and Probability
Summarize and describe distributions.
5. Summarize numerical data sets in relation to their context, such as by:
1. Reporting the number of observations.
2. Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
3. 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.
4. 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.

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This unit of four lessons from NCTM's Illuminations lets students conduct surveys and represent data in a variety of ways. They also find and compare measures of center. The lessons center around a food court, where students create and use menus in a meaningful way. Topics covered include bar graphs, line plots, and pictographs, measures of center, and probability of events. Individual lessons link to related tools where appropriate, and include questions for students, assessment options, and teacher reflection questions.
Lesson Plans
Grade Level: 3, 4, 5
(1 Comments)
This lesson plan combines physical activity (jumping jacks) with data collection. The purpose of this activity is to compare and contrast the use of mean, median, and mode as the best measure of central tendency. The lesson plan includes three worksheets, extension questions, and assessment options.
Lesson Plans
Grade Level: 4, 5, 6+
(1 Comments)
Students using this Shockwave applet will extend their basic understanding of median, mean and range while also practicing elapsed time. Data about particular trains is given, and users compare calculations to determine which train will most reliably carry a passenger to their destination in time. Level 1 involves median and range with whole number times. In Level 2 users calculate means and ranges with departure times of 1/2 and 1/4 hours. In Level 3 departure times and journey times are in minutes. A built-in calculator helps users compute means. A Key Idea page provides background information on mean, median and range, and how to compare choices using them. A set of student activity printouts (School Sports Day) is available for further practice.
Activity, Game, Interactive Media
Grade Level: 4, 5, 6+
(2 Comments)
Villainy, Inc. is a website devoted to helping upper elementary grade students build and use problem-solving skills to solve unique and complex mathematical problems. Students become undercover agents working to thwart the evil Dr. Wick, ID and his often-zany schemes to take over the world. Student activities include finding areas of rectangles, calculating with decimals and percents, finding averages, estimating and comparing whole numbers and decimals, all presented in the context of an animated and interactive cartoon story. Students complete one or both of the missions online. Teachers editions for each mission are provided, as well as additional tips, answer keys, printable worksheets and connections to standards. Note that it is not possible to save work online.
Activity, Interactive Media, Video
Grade Level: 4, 5, 6+
(3 Comments)
In this unit of five lessons from NCTM's Illuminations, students explore the numbers of letters in their names and create bar graphs, pictographs, circle graphs, and glyphs. They also find the range, compute measures of center, and create box-and-whisker plots. Individual lessons link to related tools where appropriate, and include questions for students, assessment options, teacher reflection questions, and sometimes extensions.
Lesson Plans, Graph
Grade Level: 3, 4, 5
(1 Comments)