Fractions

Lesson 23

Math

Unit 6

3rd Grade

Lesson 23 of 24

Objective


Generate measurement data and represent it in a line plot.

Common Core Standards


Core Standards

  • 3.MD.B.4 — Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.

Foundational Standards

  • 2.MD.A.1
  • 2.MD.D.9

Criteria for Success


  1. Measure objects to the nearest quarter inch with a ruler whose 0 mark is not at its edge (MP.6). 
  2. Construct a line plot to display measurement data by:
    1. Determining the starting and ending value for the line plot by finding the largest and the smallest value in the data set,
    2. Determining the interval for the line plot by determining the smallest fractional unit that is represented in the data,
    3. Plotting Xs above the corresponding value for each value in the data set, 

    4. Creating a label for the number line that describes the unit that is represented by the data, and

    5. Creating a title for the line plot that explains what the data set as a whole represents.

  3. Answer interpretive questions about data in a line plot that do not involve the use of operations to solve (e.g., what is the largest recorded value?) (MP.2). 
  4. Understand the purpose of a line plot as a way to represent a measurement data set to be able to see trends and analyze it more easily (MP.5). 

Tips for Teachers


  • This lesson has students generating measurement data from taking length measurements as a way to reinforce the work of Lessons 21 and 22. However, measurement data can include measures of a variety of other attributes, such as “measuring liquid volumes with graduated cylinders or measuring room temperatures with a thermometer” (MD Progression, p. 2). Thus, you could decide to swap out the following length measurement tasks with measurement of other types if you think students would benefit from seeing how other types of measurement can be displayed on a line plot, e.g., area measurement. Regardless of the focus on length measurement in this lesson, students will see line plots that display measurement data of a wider variety in Lesson 24.

Lesson Materials

  • quarter-inch rulers (1 per student) — These were constructed in Lesson 22 from Template: Ruler. These are also needed for the Extra Practice Problems. You might choose to have quarter-inch rulers on hand for ease of using them to measure objects to the nearest quarter inch, but they are not required.
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Anchor Tasks


Problem 1

Hui works at the Franklin Park Zoo. Below are all of the beetles in the beetle exhibit.

a.   Hui is trying to figure out how many adult beetles versus baby beetles there are. Adult beetles are $$\frac{3}{4}$$ inch long or longer. How many of the beetles above are adults?

b.   A visitor to the zoo asks what the most common length of an adult beetle is. Based on the beetles in the exhibit, what should Hui’s answer be?

Guiding Questions

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References

San Francisco Unified School District Math Department 3.10 LS3 Day 2 Line Plot Measurements BLM

3.10 LS3 Day 2 Line Plot Measurements BLM is made available by the San Francisco Unified School District Math Department as a part of their SFUSD Math Core Curriculum under a CC BY 4.0 license. Accessed April 2, 2019, 4 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

Make a line plot using the data from Anchor Task #1. Remember to label all parts of your line plot.

Guiding Questions

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References

San Francisco Unified School District Math Department 3.10 LS3 Day 2 Line Plot Measurements BLM

3.10 LS3 Day 2 Line Plot Measurements BLM is made available by the San Francisco Unified School District Math Department as a part of their SFUSD Math Core Curriculum under a CC BY 4.0 license. Accessed April 2, 2019, 4 p.m..

Modified by Fishtank Learning, Inc.

Problem Set


Answer Keys

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Discussion of Problem Set

  • Was it easier to determine the most frequent measurement in #2a in the table or the line plot? Why? How does this help demonstrate the usefulness of line plots?
  • What length granola bar would you recommend to the Chewy Chunk Granola Bar Company in #4c? Why?

Target Task


a.   Shawn’s teacher asks him to measure the length of the paperclips in his classroom so that they can sort them by size. The lengths he has measured so far are in the table below. Measure the remaining paper clips to the nearest quarter inch and add their lengths to the table. 

b.   Use the data in the completed table to draw a line plot below.


Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer Keys

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Word Problems and Fluency Activities

Word Problems and Fluency Activities

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Lesson 22

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Lesson 24

Lesson Map

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Topic A: Understanding Unit Fractions and Building Non-Unit Fractions

Topic B: Fractions on a Number Line

Topic C: Equivalent Fractions

Topic D: Comparing Fractions

Topic E: Line Plots

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