Standard #: MA.5.DP.1.1


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Collect and represent numerical data, including fractional and decimal values, using tables, line graphs or line plots.


Examples


Gloria is keeping track of her money every week. She starts with $10.00, after one week she has $7.50, after two weeks she has $12.00 and after three weeks she has $6.25. Represent the amount of money she has using a line graph.

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.



General Information

Subject Area: Mathematics (B.E.S.T.)
Grade: 5
Strand: Data Analysis and Probability
Status: State Board Approved

Benchmark Instructional Guide

Connecting Benchmarks/Horizontal Alignment

 

Terms from the K-12 Glossary

  • Line Graphs 
  • Line Plots

 

Vertical Alignment

Previous Benchmarks

 

Next Benchmarks

 

Purpose and Instructional Strategies

The purpose of this benchmark is to collect and display authentic numerical data in tables, line graphs or line plots, including fractional and decimal values. Students have represented whole number and fractional values using tables, stem-and-leaf plots and line plots in grade 4 (MA.4.DP.1.1). In grade 6, this work will extend to box plots and histograms (MA.6.DP.1.5). 
  • Instruction with line graphs should develop the understanding that values in this graph often represent data that changes over time. 
  • Instruction should include identifying the meaning of the points presented on the x-axis and y-axis with both axes being labeled correctly.

 

Common Misconceptions or Errors

  • For line plots, students may misread a number line and have difficulty because they use whole-number names when counting fractional parts on a number line instead of the fraction name.

 

Strategies to Support Tiered Instruction

  • Instruction includes opportunities to use concrete models and draw number lines to connect learning with fraction understanding. Students plot fourths on the number line, paying particular attention to what each tick mark and the “distance” between each tick mark represents. 
    • Example: 
number line
    • For example, utilizing fraction strips or tiles, students will be able to connect fractional parts to the measurement on a number line.
number line

 

Instructional Tasks

Instructional Task 1 (MTR.3.1

Claire studied the amount of water in different glasses. The data she collected is below. Use her data to create a line plot to show the amount of water in the glasses.

 

Instructional Items

Instructional Item 1 

A line graph is shown. 

  • Part A. What is the approximate change in the kitten’s mass, in grams, between Days 3 and 4? 
  • Part B. What is the approximate change in the kitten’s mass, in grams, between Days 2 and 5? 

 

*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.



Related Courses

Course Number1111 Course Title222
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current))


Related 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.


Related Resources

Formative Assessment

Name Description
Chores Data

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

Lesson Plans

Name Description
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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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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.

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.

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.

 

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.  

 

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.

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

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

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.

Perspectives Video: Teaching Idea

Name Description
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.

Student Resources

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.



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