**Subject Area:**Mathematics

**Grade:**6

**Domain-Subdomain:**Statistics & Probability

**Cluster:**Level 2: Basic Application of Skills & Concepts

**Cluster:**Summarize and describe distributions. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved

**Assessed:**Yes

**Assessment Limits :**

All plots must be displayed on a number line or coordinate grid.**Calculator :**No

**Context :**Allowable

**Test Item #:**Sample Item 1**Question:**A class is surveyed with data as shown.1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11

Which dot plot represents the class?

**Difficulty:**N/A**Type:**MC: Multiple Choice

**Test Item #:**Sample Item 2**Question:**A class survey provides the data shown.1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11

Which box plot represents the class?

**Difficulty:**N/A**Type:**MC: Multiple Choice

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Formative Assessments

## Lesson Plans

## Original Student Tutorials

## Perspectives Video: Expert

## Perspectives Video: Professional/Enthusiast

## Problem-Solving Tasks

## Student Center Activity

## Teaching Idea

## Tutorials

## Virtual Manipulatives

## Worksheet

## MFAS Formative Assessments

Students are asked to construct a histogram corresponding to a given set of data.

## Original Student Tutorials Mathematics - Grades 6-8

Learn how to create a histogram to display continuous data from projectiles launched by a catapult in this interactive tutorial.

This is part 1 in a 2-part series. Click **HERE** to open part 2.

Learn how to interpret histograms to analyze data, and help an inventor predict the range of a catapult in part 2 of this interactive tutorial series. More specifically, you'll learn to describe the shape and spread of data distributions.

Click **HERE** to open part 1.

Learn how to make and interpret boxplots in this pet-themed, interactive tutorial.

## Student Resources

## Original Student Tutorials

Learn how to interpret histograms to analyze data, and help an inventor predict the range of a catapult in part 2 of this interactive tutorial series. More specifically, you'll learn to describe the shape and spread of data distributions.

Click **HERE** to open part 1.

Type: Original Student Tutorial

Learn how to create a histogram to display continuous data from projectiles launched by a catapult in this interactive tutorial.

This is part 1 in a 2-part series. Click **HERE** to open part 2.

Type: Original Student Tutorial

Learn how to make and interpret boxplots in this pet-themed, interactive tutorial.

Type: Original Student Tutorial

## Problem-Solving Task

Using the information provided, create an appropriate graphical display and answer the questions regarding shape, center and variability.

Type: Problem-Solving Task

## Student Center Activity

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Type: Student Center Activity

## Tutorials

This video demonstrates how to construct a box and whisker plot.

Type: Tutorial

Students will interpret data presented in a box and whisker plot.

Type: Tutorial

In this video, we organize data into frequency tables and dot plots (sometimes called line plots).

Type: Tutorial

Learn how to create histograms, which summarize data by sorting it into groups (buckets).

Type: Tutorial

## Virtual Manipulatives

This virtual manipulative is intended to introduce users to the idea of visual representation of data by means of a bar chart. This manipulative is also useful for letting the students categorize collections of familiar objects, (shoes, dry food items, coins etc.) separate them into sub-categories, and describe.

Type: Virtual Manipulative

This simulation allows the student to create a box plot and a histogram for the same set of data and toggle between the two displays. Maximum, minimum, median and mean are shown for the data set. The student can change the cell width to explore how the histogram is affected.

Type: Virtual Manipulative

In this activity, students use preset data or enter in their own data to be represented in a box plot. This activity allows students to explore single as well as side-by-side box plots of different data. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the Java applet.

Type: Virtual Manipulative

This is an online graphing utility that can be used to create box plots, bubble graphs, scatterplots, histograms, and stem-and-leaf plots.

Type: Virtual Manipulative

Users select a data set or enter their own data to generate a box plot.

Type: Virtual Manipulative

This virtual manipulative histogram tool can aid in analyzing the distribution of a dataset. It has 6 preset datasets and a function to add your own data for analysis.

Type: Virtual Manipulative

In this activity, students can create and view a histogram using existing data sets or original data entered. Students can adjust the interval size using a slider bar, and they can also adjust the other scales on the graph. This activity allows students to explore histograms as a way to represent data as well as the concepts of mean, standard deviation, and scale. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Virtual Manipulative

## Parent Resources

## Problem-Solving Task

Using the information provided, create an appropriate graphical display and answer the questions regarding shape, center and variability.

Type: Problem-Solving Task

## Virtual Manipulatives

This virtual manipulative is intended to introduce users to the idea of visual representation of data by means of a bar chart. This manipulative is also useful for letting the students categorize collections of familiar objects, (shoes, dry food items, coins etc.) separate them into sub-categories, and describe.

Type: Virtual Manipulative

This simulation allows the student to create a box plot and a histogram for the same set of data and toggle between the two displays. Maximum, minimum, median and mean are shown for the data set. The student can change the cell width to explore how the histogram is affected.

Type: Virtual Manipulative