Standard 1: Collect, represent and interpret data and find the mean, mode, median or range of a data set.

General Information
Number: MA.5.DP.1
Title: Collect, represent and interpret data and find the mean, mode, median or range of a data set.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 5
Strand: Data Analysis and Probability

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.5.DP.1.AP.1
Sort and represent numerical data, including fractional values using tables or line plots (when given a scaled number line). Data set to include only whole numbers, halves and quarters.
MA.5.DP.1.AP.2
Interpret numerical data, with whole-number values, represented with tables or line plots by determining the mean, mode or range. Line plot scales to include only whole numbers, halves and quarters.

Related Resources

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

Formative Assessment

Chores Data:

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

Type: Formative Assessment

Lesson Plans

Sleep Versus Mood:

Using the case study, No Sleep, No Problem? Students will explore the amount of sleep they are allotting for themselves per night. Students will then investigate the impact of sleep on one’s daily mood.

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How Generative AI like ChatGPT Works:

Students will explore Artificial Intelligence (AI) and how generative AI models use Large Language Models (LLMs) and Natural Language Processing NLP to generate outputs. This grades 4-5 lesson is an integrated Computer Science, ELA and Math lesson designed for application of math and ELA content knowledge while exploring and using computational thinking to understand how generative AI works, making cross-curricular connections to understand emerging technologies.

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Voting Rights Amendments: The Voting Rights Act of 1965:

In this lesson plan, students will create and analyze a line graph to explore how the Voting Rights Act of 1965 expanded civic participation.

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Voter Turnout and the 26th Amendment:

In this lesson plan, students will graph and interpret voter turnout data to explain how the 26th Amendment expanded the opportunity for civic participation.

Type: Lesson Plan

Voter Turnout and the 24th Amendment:

Students will use voter turnout data to create and analyze a line graph to explain how the 24th Amendment expanded civic participation in this integrated lesson plan.

Type: Lesson Plan

Practicing With Mean:

In this lesson plan, students will practice finding the mean of a set of data and be able to connect that to how mean is used in real-life. Students will be able to collect data, create line plots, interpret the data, and find the mean.

Type: Lesson Plan

Voter Task Force:

Students will help the Supervisor of Elections determine which voter registration locations could be improved to help more citizens get registered to vote. Students will learn about the number of citizens who registered to vote in a general election year compared to the total population of those eligible to vote. They will discuss which voter registration locations will provide the most access to citizens and allocate funds to help address the issue in this modeling eliciting activity.

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

Voter Turnout and the 19th Amendment:

Students will graph and analyze voting data to explain how the 19th Amendment expanded civic participation in this lesson plan.

Type: Lesson Plan

Voter Turnout and the 15th Amendment:

In this lesson plan, students will graph and analyze voting data to explain how the 15th Amendment expanded civic participation.

Type: Lesson Plan

Heatin' It Up or Coolin' It Down:

Many chemical reactions are accompanied by a change in temperature. Whether it is extreme or barely noticeable, the temperature may go up or it may go down. Investigate these two chemical reactions described in this lesson to experience two different kinds of temperature change.

 

Type: Lesson Plan

How Does Force Affect Motion?:

Students will explore how force affects an object's motion. Students will discuss how the greater the mass of an object, the greater the force required to move an object.  Students will use data gathered through experimentation to justify their reasoning and understanding of forces and motion.

Type: Lesson Plan

Marbelous Pool Noodle Ramps:

In this lesson, students will build a ramp out of a pool noodle and use it to launch a marble across the room. Students will investigate by adjusting the height and slope of the ramp and record their findings on a data sheet. Students will practice collecting and analyzing data and will investigate the importance of performing repeated experimental trials. Students will practice converting metric units of distance as well as the addition and division of decimals to find the mean of a small data set.

Type: Lesson Plan

Line Plotting with Fractions Chicago Pizza Style:

In this lesson, students will be making a line plot and recording fractional data (1/4, 1/2, and 3/4) on their line plot. Students will then use fraction operations to solve problems involving data presented in their line plots.

Type: Lesson Plan

April Showers Bring May Flowers - Line Plots:

In this lesson, students will create a line plot that displays rainfall data.  They will use the data from the line plot to answer questions using addition, subtraction, multiplication, and division of fractions. Please note that the denominators for the line plot go to eighths.  

 

Type: Lesson Plan

Paper Airplanes Away!:

In this lesson, students will design and fly their own paper airplane and analyze their flight data to determine the best designs for getting planes to travel the farthest distance. Students will organize class flight data into a line plot and calculate the mean, median, mode, and range for the data set.

Type: Lesson Plan

Fly Runners Order of Operations MEA:

In this Model Eliciting Activity, MEA, the students will determine the best ad for a tennis shoe company.

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

Camping Supply Innovators MEA:

In this Model Eliciting Activity, MEA, the students' will determine the best canteen for an outdoor hiking company.

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

What is in the PLOT?:

In this lesson students will use Florida's wonderful seashells to collect data sets of measurement in fractions of a unit (1/2, 1/4, 1/8). They will plot the data on a line plot, then use operations with fractions to solve problems involving information presented in the line plot.

Type: Lesson Plan

Fast Food Decision:

Students will rank fast food restaurants from best to worst based on their nutrition, price, and distance to sport field. Students will have to make tradeoffs for nutrition or price.

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

Black Out in an Ice Cream Shop!:

This Model Eliciting Activity (MEA) asks students to develop a procedure for choosing a back-up energy source (generator) for an ice cream shop. Students will need to consider Cost of unit, wattage output, size of fuel container, length of time this machine will run, auto turn on, and the number of outlets it can receive. In the second portion of the problem statement, the students will need to prepare and compare the cost of use for 24 hour period. They will need to determine if they have still made the correct choices while adding three more generators for consideration, and make a cost analysis for 24 hours of use. In the culminating activity, the students will write a proposal for the client for the generator of their choice and include the 24 hours cost analysis.

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 processes. 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 MEAs visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Getting Dry:

This MEA asks the students to compare hand drying products based on: initial cost, replacement cost and absorbency. Students will provide the "top choice" to the principal of the school and explain how they arrived at the solution. In the twist, students will be asked to consider the environmental impact of the products and reevaluate their conclusions.

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 processes. 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 MEAs visit: https://www.cpalms.org/cpalms/mea.aspx

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New Frozen Yogurt Store:

This MEA asks students to decide which factors are important in developing a successful frozen yogurt (froyo) store in order to compete with and become the best store in the area. Students will provide feedback to an entrepreneur who is looking to open a frozen yogurt store. They will rank order their choices of the most successful to least successful store. Students will provide a detailed written explanation for how they decided to rank factors and their solution rating existing stores from best to worst.

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 processes. 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 MEAs visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Storage for Storage:

In this MEA, 5th Grade students will work in teams to determine a procedure for ranking Storage Sheds for a construction company that is moving to a new facility to purchase. Students will need to calculate the square feet and cubic feet of space for the Storage Shed, make decisions based on a table of data, and write a letter to the client providing evidence for their decisions.

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 processes. 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 MEAs visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Original Student Tutorials

Grasshopper Hut for Gus: Line Plots:

Help build a Grasshopper Hut for Gus by creating line plots and answering questions about the line plots in this interactive tutorial.

Type: Original Student Tutorial

Samantha’s Shell-Collecting Adventure:

Learn to interpret data presented on a line plot and use operations on fractions to solve problems involving information presented in line plots as you complete this beach-themed, interactive tutorial.

Type: Original Student Tutorial

Perspectives Video: Teaching Ideas

Using Visual Models to Determine Mode, Median and Range:

Unlock an effective teaching strategy for teaching median, mode, and range in this Teacher Perspectives Video for educators.

Type: Perspectives Video: Teaching Idea

Using Manipulatives to Create Stem and Leaf Plots:

Unlock an effective teaching strategy for teaching stem and leaf plots in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Teaching Ideas

Ball Bounce Experiment:

Students investigate different balls' abilities to bounce and represent the data they collect graphically.

Type: Teaching Idea

Jump or Be Lunch! SeaWorld Classroom Activity:

Students will predict how high they can jump and then compare the height of their jumps to how high a rockhopper penguin can jump out of the water. They will practice mathematical skills for determining averages.

Type: Teaching Idea

Tutorials

Redistributing Trail Mix:

This Khan Academy tutorial video presents a strategy for solving the following problem: given a dot plot with different measurements of trail mix in bags, find the amount of trail mix each bag would contain, if the total amount in all the bags was equally redistributed.

Type: Tutorial

Frequency tables and Dot Plots:

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

Type: Tutorial

Student Resources

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

Original Student Tutorials

Grasshopper Hut for Gus: Line Plots:

Help build a Grasshopper Hut for Gus by creating line plots and answering questions about the line plots in this interactive tutorial.

Type: Original Student Tutorial

Samantha’s Shell-Collecting Adventure:

Learn to interpret data presented on a line plot and use operations on fractions to solve problems involving information presented in line plots as you complete this beach-themed, interactive tutorial.

Type: Original Student Tutorial

Tutorials

Redistributing Trail Mix:

This Khan Academy tutorial video presents a strategy for solving the following problem: given a dot plot with different measurements of trail mix in bags, find the amount of trail mix each bag would contain, if the total amount in all the bags was equally redistributed.

Type: Tutorial

Frequency tables and Dot Plots:

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

Type: Tutorial

Parent Resources

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