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



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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
Code Description
MA.5.DP.1.1: Collect and represent numerical data, including fractional and decimal values, using tables, line graphs or line plots.
Clarifications:
Clarification 1: Within this benchmark, the expectation is for an estimation of fractional and decimal heights on line graphs.

Clarification 2: Decimal values are limited to hundredths. Denominators are limited to 1, 2, 3 and 4. Fractions can be greater than one.

MA.5.DP.1.2: Interpret numerical data, with whole-number values, represented with tables or line plots by determining the mean, mode, median or range.
Clarifications:
Clarification 1: Instruction includes interpreting the mean in real-world problems as a leveling out, a balance point or an equal share.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
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.

Original Student Tutorials

Name Description
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.

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.

Formative Assessment

Name Description
Chores Data:

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

Lesson Plans

Name Description
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.

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.

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.

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.

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.

 

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. 

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.

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.

 

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.

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.

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.

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.  

 

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.

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.

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.

Perspectives Video: Teaching Ideas

Name Description
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.

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.

Teaching Ideas

Name Description
Ball Bounce Experiment:

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

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.

Tutorials

Name Description
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.

Frequency tables and Dot Plots:

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



Student Resources

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

Original Student Tutorials

Title Description
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.

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.

Tutorials

Title Description
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.

Frequency tables and Dot Plots:

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