## Common Core State Standards for Mathematics

Grade(s) 6 resources related to the following standard:
Statistics and Probability
Develop understanding of statistical variability.
2. 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.

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This bar graph application allows the learner to interpret one of three sets of pre-existing data or to input their own data and create their own bar graph. The display can be altered to increase or descrease the interval on the y-axis or to increase or descrease the width of the bars on the x-axis.
Activity, Interactive Media
Grade Level: 3, 4, 5, 6+
This Flash tool allows students to make a box plot of their data, using up to four categories of their own choosing, or using one of the data sets provided. The tool will plot all the data together, or break it out by category. Students can set a multiple of the Interquartile Range to be the Extreme Range, and exclude that data from the graph if they wish. Associated lessons (free) and a Mathematics Assessment Sampler (for purchase) are linked at the right side of the page.
Activity, Graph
Grade Level: 3, 4, 5, 6+
This interactive Shockwave applet helps students learn about using frequency tables to organize data and using several visual representations to interpret data. At each of three levels the user collects and records simulated data about a class of students, and then chooses a graph that represents the given data. Representations include circle graphs, line graphs, histograms, and simple scatter plots. The Key Ideas page offers background information on graphs and data analysis. A set of supplementary student activity printouts (Words, Words, Words) is available for further practice.
Activity, Interactive Media
Grade Level: 3, 4, 5, 6+
In this lesson students see how data collection and analysis can aid in decision making. Learners are introduced to the concepts of range, mean, median, and mode. The lesson is supported with curriculum and standards alignments, a 3.5 minute video, a handout, and assessment materials (rtf format), accessible prior to viewing the video.
Activity, Lesson Plans, Video
This lesson, from Illuminations, gives students practice in measurement and in displaying and interpreting data through box-and-whisker plots. Students may draw the plots themselves or use the online Box Plotter tool. Learning objectives, materials, student questions, extensions, teacher reflections, and NCTM Standards alignment are provided.
Lesson Plans
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
In this lesson plan students must use a frequency chart to describe a set of data, including the mean, median, mode, and range of the data set. The lesson plan includes a pre-assessment, whole class activity, collaborative learning activity, and formative assessment. To be successful at this lesson students will need to be able to interpret the frequency chart for the mean, median, mode, and range, but also be able to fill in a frequency chart with a possible solution when given these data landmarks. Additional resources include the lesson plan in a 26-page PDF, the teacher slides in a 4-slide PowerPoint presentation, and a 16-page PDF guide for teachers and administrators.
Assessment, Activity, Lesson Plans