Fractions

Lesson 24

Math

Unit 6

3rd Grade

Lesson 24 of 24

Objective


Create line plots (dot plots). 

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.D.9

Criteria for Success


  1. Represent measurement data in a line plot/dot plot where the horizontal scale is marked off in appropriate units—whole numbers, halves, or fourths. 
  2. 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). 
  3. Reason inductively about data in a line plot to make a plausible argument that takes into account the context from which the data arose (e.g., based on this data, what is typical?) (MP.3).
  4. Understand the purpose of a picture graph 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


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

Mr. Schaut measured the height of all of the sunflower plants in his garden. The data are shown in the table below. 

Heights of Sunflower Plants (in inches)
$$60\frac{1}{2}$$ $$61\frac{1}{2}$$ $$61$$ $$60\frac{1}{2}$$ $$61\frac{1}{4}$$
$$60\frac{3}{4}$$ $$60\frac{3}{4}$$ $$60\frac{3}{4}$$ $$61$$ $$60$$
$$62$$ $$61$$ $$60\frac{1}{4}$$ $$61$$ $$60\frac{1}{2}$$
$$61\frac{1}{2}$$ $$61\frac{1}{4}$$ $$61\frac{1}{4}$$ $$62$$ $$61\frac{1}{4}$$
$$61\frac{1}{4}$$ $$61\frac{3}{4}$$ $$61\frac{1}{2}$$ $$61\frac{1}{4}$$ $$61\frac{1}{2}$$
$$61$$ $$61\frac{1}{4}$$ $$61\frac{3}{4}$$ $$61\frac{1}{2}$$ $$60\frac{1}{4}$$

a.   Make a dot plot of Mr. Schaut’s data. Remember to label all parts of your dot plot.

b.   Answer the following questions based on the data.

  1. How many plants were measured in all?
  2. What are the three most frequent measurements in order from shortest to tallest? How many plants were one of those three heights? 
  3. What is the typical height of a sunflower in Mr. Schaut’s garden? Justify your reasoning. 

Guiding Questions

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References

EngageNY Mathematics Grade 3 Mathematics > Module 6 > Topic B > Lesson 8Concept Development

Grade 3 Mathematics > Module 6 > Topic B > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

a.   Create a dot plot using just the first three rows of data from Anchor Task #1, copied below. Remember to label all parts of your dot plot.

Heights of Sunflower Plants (in inches)
$$60\frac{1}{2}$$ $$61\frac{1}{2}$$ $$61$$ $$60\frac{1}{2}$$ $$61\frac{1}{4}$$
$$60\frac{3}{4}$$ $$60\frac{3}{4}$$ $$60\frac{3}{4}$$ $$61$$ $$60$$
$$62$$ $$61$$ $$60\frac{1}{4}$$ $$61$$ $$60\frac{1}{2}$$

b.   In what ways does this subset of data change the answers to the following questions:

  1. How many plants were measured in all?
  2. What are the three most frequent measurements in order from shortest to tallest? How many plants were one of those three heights? 
  3. What is the most typical height of a sunflower?

Guiding Questions

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References

EngageNY Mathematics Grade 3 Mathematics > Module 6 > Topic B > Lesson 8Concept Development

Grade 3 Mathematics > Module 6 > Topic B > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem Set


Answer Keys

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Discussion of Problem Set

  • What can you say about most of the students surveyed in #3? 
  • If the only measurement data we had was the top two rows of the chart in #2, how might that change your understanding of the mass of most of the porcupines at the zoo? 
  • Why does having a large amount of data help us have a clearer understanding of what the data means? 

Target Task


The table below shows the high jump heights of the fifth-grade girls at Sandy Hill Elementary School. 

a.   Make a line plot of the data. Remember to label all parts of your line plot.

b.   What is the height, in inches, of the shortest high jump among these students? 

c.   Girls with a high jump that is greater than or equal to $$39\frac{1}{4}$$ can compete in the state championship. How many girls at Sandy Hill Elementary School can compete for the championship? Explain how to use the line plot to solve.

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 23

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

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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