MAFS.2.MD.4.10Archived Standard

Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.
General Information
Subject Area: Mathematics
Grade: 2
Domain-Subdomain: Measurement and Data
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Represent and interpret data. (Supporting 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

Related Courses

This benchmark is part of these courses.
5012040: Mathematics - Grade Two (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5020030: Science - Grade Two (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5021040: Social Studies Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2023, 2023 and beyond (current))
7712030: Access Mathematics Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7720030: Access Science Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2023, 2023 and beyond (current))
5020090: STEM Lab Grade 2 (Specifically in versions: 2016 - 2022, 2022 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Educational Software / Tool

Free Graph Paper:

A variety of graph paper types for printing, including Cartesian, polar, engineering, isometric, logarithmic, hexagonal, probability, and Smith chart.

Type: Educational Software / Tool

Formative Assessments

Shoe Sizes:

Students are asked to create a bar graph from a given set of data.

Type: Formative Assessment

Favorite Books:

Students are asked to answer questions about a given bar graph.

Type: Formative Assessment

Features of our Shirts:

Students collect data and use it to create a pictograph.

Type: Formative Assessment

Number of Players:

Students are asked to create a pictograph from a given set of data.

Type: Formative Assessment

Lesson Plans

Taking Flight :

Students will explore airplanes in this project-based lesson/unit with multiple lessons that are all tied to a final project.

Type: Lesson Plan

So . . . il Pick You!:

This is a Project-Based Learning Project, intended for second grade. It can be adapted and changed for other grades.

Type: Lesson Plan

What Goes Up Must Come Down! :

This is a second grade science lesson that incorporates math, science, and engineering as students work in collaborative groups to investigate gravity using real-world situations.

Students will investigate the following problem:
How can you design an invention that keeps a balloon in the air instead of letting it be pulled to the ground by gravity? Can you keep your balloon in the air longer than the other teams?

Type: Lesson Plan

Graphing Fun:

This lesson incorporates collecting, categorizing, and representing data using pictographs and bar graphs. Students will also interpret data represented in these graphs including solving problems. The story Sir Cumference and the Off the Charts Dessert by Cindy Neuschwander is used to interest students in graphing and presents a good opportunity to set up an independent practice activity for students.

Type: Lesson Plan

Gummy Graphing:

Students will make bar graphs using gummy bears and Skittles!

Type: Lesson Plan

Pop, Pop, Pop!:

Students will research the effects of sugary drinks on their health.  They will interpret data on a variety of beverages presented in the form of bar graphs and decide which beverages should be included in school vending machines to ensure students have healthy drink options.

Type: Lesson Plan

Oh Goodie!:

Collaboration is key! In this MEA lesson, students will have the opportunity to work in collaborative groups to decide what items to include inside a guest goodie bag. The students will be able to interpret data from a table chart, create a bar graph, present their decisions orally in teams, and write an extension letter.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Pictographs with Pizazz:

In this lesson, students will create pictographs to represent data sets with up to four categories. They will use their graphs to solve addition, subtraction, and comparison problems.

Type: Lesson Plan

Setting the Bar: Representing Data Sets:

In this lesson, students will use data from an in-class survey, animal pictures, and manipulatives to categorize and display in bar graphs. Students use the graphs to solve addition and subtraction problems about the data.

Type: Lesson Plan

Saving Seabirds:

This MEA focuses on what and how human actives may impact ocean life and what actions students may take in protecting our ocean. The Supplemental Reading passage serves as a springboard to elicit students understanding of real issues around them.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Insurance for "Ewe":

In this MEA (Model Eliciting Activity) students are being asked to recommend a given location for a business to expand, based on amounts of rainfall and weed growth in given areas. Students will be creating, comparing, and interpreting data from a bar graph to reach their decision.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Water Parks Galore!:

The focus of this lesson is to devise a plan, and justify it, in order to determine the best features of a water park. Students will use problem-solving skills, data sets presented in a chart, two digit addition and writing skills. Students will also need to check their procedure to determine if it will work when given additional data.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Class Pets:

The focus of this lesson is to devise a plan, and justify it, in order to choose the best class pet. Students will use problem-solving skills, data sets presented in a chart, two and three digit addition, writing skills. Students will complete bar graphs using data from their data set sheets and answer questions about the graphs. Students will also need to check their procedure to determine if it will work when given additional data.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Cellular Satisfaction:

The client is searching for the best cell phone carrier based on customer satisfaction scores. Students will choose the best cell phone provider based on the 5 categories; Plans, Coverage, Phones and Features, Fees, and Help and Support, utilizing a rating scale of 1-10, with 10 being the best. Students will organize the factors based on the importance of each (to be determined by the group) and create bar graphs for the client to share with his company.

Students may need to consider companies with lower ratings in some areas depending on the order of importance they have placed on the factors, which will be determined by their group.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Graphing Away:

In this lesson, students will use a survey question of their choice to collect data and then represent the data on a bar graph with an appropriate title, labels, and a scale of one. Students will write statements to interpret their data.

Type: Lesson Plan

Introduction to Bar Graphs:

This lesson allows students to learn what bar graphs are used for, how to interpret the data presented, and how to organize their own data using bar graphs.

Type: Lesson Plan

Representing and Interpreting Data in a Bar Graph:

Students will collect data and represent it using a bar graph with an appropriate title, labels, and scale of one. Students will interpret data by solving simple comparison problems using information presented in a bar graph.

Type: Lesson Plan

Original Student Tutorials

Ice Cream Pictographs: Questions:

Help Ms. Griffin's class use pictographs to answer questions about the data they collected on their class's favorite ice cream flavors in this interactive student tutorial.

Type: Original Student Tutorial

Ice Cream Pictographs:

Learn how to organize collected data about ice cream to create your own pictographs in this interactive student tutorial.

Type: Original Student Tutorial

Teaching Ideas

How Deep Do They Dive-SeaWorld Classroom Activity:

In this activity, students relate pictures to mathematical ideas and create a graph. They are given approximate maximum diving depths for five whales and they must determine how to represent this data on a pictograph.

Type: Teaching Idea

Popcorn Math:

This webpage features 8 popcorn-themed math activities that can be used at various grade levels. Topics covered include volume, estimating, graphing, measuring, and place value.

Type: Teaching Idea

Virtual Manipulatives

Data Grapher:

Students use this interactive tool to explore the connections between data sets and their representations in charts and graphs. Enter data in a table (1 to 6 columns, unlimited rows), and preview or print bar graphs, line graphs, pie charts, and pictographs. Students can select which set(s) of data to display in each graph, and compare the effects of different representations of the same data. Instructions and exploration questions are provided using the expandable "+" signs above the tool.

Type: Virtual Manipulative

KidsZone: Create a Graph:

Create bar, line, pie, area, and xy graphs.

Type: Virtual Manipulative

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.

Type: Virtual Manipulative

STEM Lessons - Model Eliciting Activity

Cellular Satisfaction:

The client is searching for the best cell phone carrier based on customer satisfaction scores. Students will choose the best cell phone provider based on the 5 categories; Plans, Coverage, Phones and Features, Fees, and Help and Support, utilizing a rating scale of 1-10, with 10 being the best. Students will organize the factors based on the importance of each (to be determined by the group) and create bar graphs for the client to share with his company.

Students may need to consider companies with lower ratings in some areas depending on the order of importance they have placed on the factors, which will be determined by their group.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Class Pets:

The focus of this lesson is to devise a plan, and justify it, in order to choose the best class pet. Students will use problem-solving skills, data sets presented in a chart, two and three digit addition, writing skills. Students will complete bar graphs using data from their data set sheets and answer questions about the graphs. Students will also need to check their procedure to determine if it will work when given additional data.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Insurance for "Ewe":

In this MEA (Model Eliciting Activity) students are being asked to recommend a given location for a business to expand, based on amounts of rainfall and weed growth in given areas. Students will be creating, comparing, and interpreting data from a bar graph to reach their decision.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Oh Goodie!:

Collaboration is key! In this MEA lesson, students will have the opportunity to work in collaborative groups to decide what items to include inside a guest goodie bag. The students will be able to interpret data from a table chart, create a bar graph, present their decisions orally in teams, and write an extension letter.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Pop, Pop, Pop!:

Students will research the effects of sugary drinks on their health.  They will interpret data on a variety of beverages presented in the form of bar graphs and decide which beverages should be included in school vending machines to ensure students have healthy drink options.

Saving Seabirds:

This MEA focuses on what and how human actives may impact ocean life and what actions students may take in protecting our ocean. The Supplemental Reading passage serves as a springboard to elicit students understanding of real issues around them.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Water Parks Galore!:

The focus of this lesson is to devise a plan, and justify it, in order to determine the best features of a water park. Students will use problem-solving skills, data sets presented in a chart, two digit addition and writing skills. Students will also need to check their procedure to determine if it will work when given additional data.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

MFAS Formative Assessments

Favorite Books:

Students are asked to answer questions about a given bar graph.

Features of our Shirts:

Students collect data and use it to create a pictograph.

Number of Players:

Students are asked to create a pictograph from a given set of data.

Shoe Sizes:

Students are asked to create a bar graph from a given set of data.

Original Student Tutorials Mathematics - Grades K-5

Ice Cream Pictographs:

Learn how to organize collected data about ice cream to create your own pictographs in this interactive student tutorial.

Ice Cream Pictographs: Questions:

Help Ms. Griffin's class use pictographs to answer questions about the data they collected on their class's favorite ice cream flavors in this interactive student tutorial.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorials

Ice Cream Pictographs: Questions:

Help Ms. Griffin's class use pictographs to answer questions about the data they collected on their class's favorite ice cream flavors in this interactive student tutorial.

Type: Original Student Tutorial

Ice Cream Pictographs:

Learn how to organize collected data about ice cream to create your own pictographs in this interactive student tutorial.

Type: Original Student Tutorial

Virtual Manipulatives

Data Grapher:

Students use this interactive tool to explore the connections between data sets and their representations in charts and graphs. Enter data in a table (1 to 6 columns, unlimited rows), and preview or print bar graphs, line graphs, pie charts, and pictographs. Students can select which set(s) of data to display in each graph, and compare the effects of different representations of the same data. Instructions and exploration questions are provided using the expandable "+" signs above the tool.

Type: Virtual Manipulative

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.

Type: Virtual Manipulative

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.