Standard #: MAFS.6.SP.2.4 (Archived Standard)


This document was generated on CPALMS - www.cpalms.org



Display numerical data in plots on a number line, including dot plots, histograms, and box plots.


General Information

Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Statistics & Probability
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 - Archived
Assessed: Yes

Test Item Specifications

    N/A

    Assessment Limits :
    All plots must be displayed on a number line or coordinate grid.
    Calculator :

    No

    Context :

    Allowable



Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1 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?

 

 

N/A MC: Multiple Choice
Sample Item 2 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?

 

 

N/A MC: Multiple Choice


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Related Resources

Formative Assessments

Name Description
Shark Attack Data

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

Chores Data

Students are asked to display numerical data on a dot plot.

Basketball Histogram

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

Lesson Plans

Name Description
Climate and Careers!

Students will explore chosen outdoor careers and how the careers connect to certain climates based on temperature and precipitation. The guiding question states "How might you use evidence from weather data and dot plot displays to allow you to identify which location's climate would be best for your career and why?" Students will collect data online and display the data using dot plots on posters with analysis using the mean. Students will engage in collaboration throughout. A power point is included with all necessary resources.

Analyze Data

This lesson uses statistical analysis to evaluate data. The data used is from the app created by the students in lesson 2 of the Data Set and Statistics Unit. This lesson also guides students in recognizing the different types of data collected and how the distribution's shape can be affected when graphed at different intervals in histograms. This is the final lesson in the unit.

Gather Data For Distribution by Programming an App

This lesson allow students to gather, calculate, and plot data using both computer code and mathematical equations. In this lesson students will create a pedometer app to demonstrate the understanding of algorithms, components (such as buttons, textboxes, sensors, etc.), and If/Then statements. This lesson uses algebraic equations and random data to access the needed components to store data in a spreadsheet.

Data Sets Represented in Computers

This lesson shows how data can be represented by computers, in relation to everyday activities we may not be aware that we use computer. It gives an overview of graphing data by creating a histogram based on population data. Using the data collected, students will get a chance to hand write code to show what structure is needed for computers to collect, analyze and distribute such data. This lesson is lesson 1 of the Data Set and Deviation Statistics Unit and bridges statistical concepts of data collection, graphing and analysis with programming a computer using coding language while reinforcing foundational algebraic skills.

Sensoring Data

In this follow up lesson, students will explore data collection using the weather station sensor and perform statistical analysis of the data. Students will use a scientific method of inquiry to plan an investigation of their own. This activity is meant to allow students to use a variety of skills they have acquired throughout a statistics unit in a personally meaningful way.

Measurement and Data Collection

In this interdisciplinary lesson, students will practice the skill of data collection with a variety of tools and by statistically analyzing the class data sets will begin to understand that error is inherent in all data.

This lesson uses the Hip Sciences Sensor Wand and Temperature Probe. Please refer to the corresponding Hip Science Sensor Guide(s) for information on using the sensor.

Measurement Data Error

In this interdisciplinary lesson, students will practice the skill of data collection with a variety of tools and by statistically analyzing the class data sets will begin to understand that error is inherent in all data.

Measurement and Data Collection

In this interdisciplinary lesson, students will practice the skill of data collection with a variety of tools and by statistically analyzing the class data sets will begin to understand that error is inherent in all data.

This lesson uses the Hip Sciences Sensor Wand and Temperature Probe. Please refer to the corresponding Hip Science Sensor Guide(s) for information on using the sensor.

The Penny Lab

Students will design an investigation to collect and analyze data, determine results, write a justification and make a presentation using U.S. pennies.

Paired student teams will determine the mass of 50 U.S. pennies. Students will also collect other data from each penny such as minted year and observable appearance. Students will be expected to organize/represent their data into tables, histograms and other informational structures appropriate for reporting all data for each penny. Students will be expected to consider the data, determine trends, and research information in order to make a claim that explains trends in data from minted U.S. pennies.

Hopefully, student data reports will support the knowledge that the metallic composition of the penny has changed over the years. Different compositions can have significantly different masses. A sufficiently random selection of hundreds of pennies across the class should allow the students to discover trends in the data to suggest the years in which the composition changed.

Sensoring Data

In this follow up lesson, students will explore data collection using the weather station sensor and perform statistical analysis of the data. Students will use a scientific method of inquiry to plan an investigation of their own. This activity is meant to allow students to use a variety of skills they have acquired throughout a statistics unit in a personally meaningful way.

Grapevine Fabrication Part 2

This lesson is a Follow Up Activity to the Algebra Institute and allows students to collect data to perform basic statistical operations to analyze and make comparisons on variability within a certain brand of raisins. Part 1 must be completed prior to starting Part 2. This investigation can elicit discussion about manufacturing and quality control.

Grapevine Fabrication Part 1

This lesson is a Follow Up Activity to the Algebra Institute and allows students to collect data to perform basic statistical operations to analyze and make comparisons on variability within a certain brand of raisins. Part 1 may be completed without Part 2. This investigation can elicit discussion about manufacturing and quality control.

Lucky Number Seven

In "Lucky Number Seven", students will have fun generating individual data in this lesson introducing the creation of histograms. Working in pairs, students will roll number cubes, find the sum of each roll, and complete a chart. Through guided practice, students will learn how to organize the charted data and create a histogram. Supplemental independent practice is provided along with suggestions for formative and summative assessment.

Hista what, hista who

Students begin by creating a Venn diagram to compare/contrast bar graphs and histograms. Throughout the lesson students will be exploring histograms given real world data. Students will be asked to create and analyze the data by creating a histogram and answering real world context questions.

Archery and Box Plots

This is a two day lesson of activities in which students represent data with box plots and then draw conclusions based on the graphical representation. The lesson begins with an interactive activity using archery skill card ratings and organizing themselves based on this information. This lesson includes group work, homework, and a summative assessment

Got Homework?

In this lesson, the students will have fun learning how the study of statistics and the creation of graphs can be tied to something that interests them. The students' interest in this lesson will be peaked by having them actively gather data and then use that data as part of the lesson.

Dot Plots and Histograms

In this lesson students will be exploring numeric displays including dot plots and histogram. Please note that this lesson does not cover box plots which is also part of this standard. Students will sort data into which type of display would be used between dot plots and histograms. Students will fill in guided (skeleton) notes about both types of display. Then students will create a dot plot with stickers and a histogram with painters tape. These hands on activities are used to solidify understanding of the qualities of each display. There is also independent practice and a performance task assessment for students to complete to practice and show mastery of creating numeric displays (dot plots and histograms).

My Pet is Better than Yours

Students will work with the number line to create dot plots. Beginning with a simple warm-up worksheet, students activate prior knowledge (apk) regarding data collection, frequency chart and calculating mean, median and mode.

Students will collect data, create a dot plot, and interpret the results with teacher guidance, peers, and independently. The lesson concludes with a summative assessment.

Swish and Spit Box Plots

In this lesson, students are working as researchers for the Swish and Spit Company to create single serve mouthwash containers for travel. Students will create box plots from data sets of lip length and how much liquid can be held comfortably in human mouths. Students will analyze their graphs to answer questions regarding the size of the mouthwash container and how mouthwash it should hold. This activity should be used as a follow-up activity after students have a base knowledge of box plots.

What's Your Favorite?

This lesson is designed to provide students with an opportunity to develop three different data displays from the same set of numerical data. A power point is included to help teachers plan the lesson. Enter and Exit tickets are included.

Dot plot and Box plots

In this lesson the students will construct graphs from a data set. They will find the mean, median, mode, and range from a data set and a graph the have generated. The students also will also use their ages in months to build a box plot using the data from all the students.

Speedster In this activity, students will collect data to compare their reaction time for catching a falling object or to an online stimulus to that of their classmates. Students will collect data for their class, construct a graph to represent the data, and then answer the question, "How good are my reactions compared to other students?"
Box Plots are Easy!!

This lesson is a hands-on activity that introduces students to the concepts of number summaries, interquartile ranges and box plots. For a given set of data, students will be able to create a two number summary, three number summary, five number summary and box plot. This lesson will span two or three class periods dependant upon the discretion and pacing of the teacher.

Statistically Speaking Part II: An Investigation of Statistical Questions and Data Distribution

This lesson is Part 2 of 2 and uses the inquiry based learning method to help students recognize a statistical question as one that anticipates variability in the data. Through cooperative learning activities, the students will develop an understanding of how to analyze the collected data to answer a statistical question. Students will complete a statistical research project in teams. Since this lesson focuses on math concepts related to identifying clusters, gaps, outliers and overall shape of a line plot, it will help students build a strong foundation for future concepts in the statistics and probability domain. The corresponding lesson is Statistically Speaking Part I: An Investigation of Statistical Questions and Data Distribution, Resource ID 48649.

Plotting Our Scores

In this lesson students will create two box plots on the same number line and interpret the data. Students will also be shown a double box plot and asked to write questions about the data.

Statistically Speaking Part I: An Investigation of Statistical Questions and Data Distribution

This lesson is Part 1 of 2 and uses the inquiry-based learning method to help students recognize a statistical question as one that anticipates variability in the data. Through cooperative learning activities, the students will develop an understanding of how to analyze the data collected to answer a statistical question. Since this lesson focuses on math concepts related to identifying clusters, gaps, outliers and overall shape of a line plot, it will help students build a strong foundation for future concepts in the statistics and probability domain. The corresponding lesson Resource ID is: 49091

Heartbeat in a Box

This lesson teaches how to make a box plot paying attention to what the quartiles mean. Students find resting heartbeat and active heartbeat. They make observations of this data displayed in box plots on the same number line. Students will interpret and make sense of this data, as well. Outliers are introduced, but not calculated, as is the intent of the standards, at this grade level.

Be the Statistician

Students will utilize their knowledge of data and statistics to create a question, collect numerical data, and create a display of their data driven by its quantitative measures of center and variability; mean, median, mode, and range.

The Survey Says...

Students will work in groups to conduct class surveys, using the results of the survey to calculate various measures of central tendency.

Punkin Chunkin - An Engineering Design Challenge

This Engineering Design Challenge is intended to help students apply the concepts of the transfer of potential and kinetic energy from SC.6.P.11.1. It is not intended as an initial introduction to this benchmark.

Original Student Tutorials

Name Description
Castles, Catapults and Data: Histograms 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.

Castles, Catapults and Data: Histograms Part 1

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.

It's Raining....Cats and Dogs

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

Perspectives Video: Expert

Name Description
Histograms Show Trends in Fisheries Data Over Time

NOAA Fishery management relies on histograms to show patterns and trends over time of fishery data.

Perspectives Video: Professional/Enthusiast

Name Description
Graphs Help Identify Cost-Effective Sea Turtle Conservation Strategies

This marine biologist discusses her use of graphical representations to help determine the most cost-effective management strategies for sea turtle conservation.

Problem-Solving Tasks

Name Description
How Long is 30 Seconds?

The purpose of this task is for students to gain a better understanding of the passage of time. Students with the help of their teacher should work to design an investigation to find out how successful the class is at predicting when 30 seconds has passed. Once the data is recorded students should begin to graph their findings to make comparisons.

Don’t Spill the Beans!

The purpose of this task is for students to make a hypothesis, and then doing an experiment to test each students hypothesis. Students will collect and record their data, use graphical methods to describe their data, and finally analyze and interpret their results in the context of the activity.

Puppy Weights

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

Student Center Activity

Name Description
Edcite: Mathematics Grade 6

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.

Teaching Ideas

Name Description
Communicating about Numbers-SeaWorld Classroom Activity

Students communicate mathematical ideas and visually represent ideas by constructing charts, graphs, and scale drawings based on information cards about various marine animals.

Drops on a Penny (Box-and-Whiskers Graph) Students collect data, compute measures of central tendency, and create stem-and-leaf plots and box-and-whiskers plots.

Tutorials

Name Description
Constructing a Box Plot

This video demonstrates how to construct a box plot, formerly known as a box and whisker plot.

Interpreting Box Plots

Students will interpret data presented in a box plot.  

Frequency tables and Dot Plots

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

Histograms

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

Virtual Manipulatives

Name Description
Box Plot

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.

Advanced Data Grapher

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

Box Plotter

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

Histogram Tool

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.

Histogram

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.

Worksheet

Name Description
Splash of Math - SeaWorld Classroom Activity This resource allows students to assume the role of an ethologist provide 4 activities that challenge students to apply mathematics to solve complex real-life problems:
  • Activity A: Watch the Whales - Determine average speed, distance, and percentage of time at the surface of gray whales.
  • Activity B: Time Tally - From observations of a dolphin determine total time and percentage of time of certain behaviors.
  • Activity C: Deep Divers - Determine average dive depth, diving time, and surface time of an elephant seal.
  • Activity D: Breaches of the Humpback - Graph data and make a prediction from the graph. In this activity, the students will practice problem solving skills to solve complex real-life problems.

Student Resources

Original Student Tutorials

Name Description
Castles, Catapults and Data: Histograms 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.

Castles, Catapults and Data: Histograms Part 1:

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.

It's Raining....Cats and Dogs:

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

Problem-Solving Task

Name Description
Puppy Weights:

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

Student Center Activity

Name Description
Edcite: Mathematics Grade 6:

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.

Tutorials

Name Description
Constructing a Box Plot:

This video demonstrates how to construct a box plot, formerly known as a box and whisker plot.

Interpreting Box Plots:

Students will interpret data presented in a box plot.  

Frequency tables and Dot Plots:

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

Histograms:

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

Virtual Manipulatives

Name Description
Box Plot:

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.

Advanced Data Grapher:

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

Box Plotter:

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

Histogram Tool:

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.

Histogram:

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.



Parent Resources

Problem-Solving Task

Name Description
Puppy Weights:

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



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