Cluster 4: Represent and interpret data. (Supporting Cluster)Archived

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

Type: Educational Software / Tool

Students make a line plot from a set of measurement data that includes measurements to the nearest whole inch.

Type: Formative Assessment

Students make a line plot from a set of measurement data that includes measurements to the nearest whole centimeter.

Type: Formative Assessment

Students measure their pencils to the nearest whole inch.

Type: Formative Assessment

Students measure the width of their hands to the nearest whole centimeter.

Type: Formative Assessment

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

Type: Formative Assessment

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

Type: Formative Assessment

Students collect data and use it to create a pictograph.

Type: Formative Assessment

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

Type: Formative Assessment

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

Type: Lesson Plan

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

Type: Lesson Plan

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

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

Students will make bar graphs using gummy bears and Skittles!

Type: Lesson Plan

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

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

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

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

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

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

In this lesson, students will make multiple measurements and record the measurements on a line plot.

Type: Lesson Plan

In this lesson, students will create line plots based on linear measurements that they collect while participating in the practice of scientific inquiry.

Type: Lesson Plan

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

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

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

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

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

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

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

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

Type: Original Student Tutorial

This task adds some rigor to the activity, by collecting actual growth data, providing practice for students in measuring and recording length measurements. Centimeters are an appropriate unit for these measurements, as they provide a good level of precision for these measurements, while being easy enough for students to handle.

Type: Problem-Solving Task

After students have drawn and measured their ten line segments, it might be more useful for the class to discuss part (b) as a whole group. It is a good idea to have the students use color to help them keep track of the connection between a line that they have drawn and the corresponding data point on the graph.

Type: Problem-Solving Task

The size of the hand makes a difference in some sports that involve throwing or catching and some activities such as playing the piano. Hand span is a measure that has been used for many years. By placing the hand on the edge of a piece of paper and marking the tips of the thumb and little finger, the student can measure a straight line. This is a better method than placing the hand directly on the ruler. Discuss rounding conventions. This could be used as a class activity, or students could gather and plot data on separate line plots from different age groups.

Type: Problem-Solving Task

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

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

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

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

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