Mathematics
Grade 5
15 min
Create and interpret line plots with fractions
Create and interpret line plots with fractions
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1
Introduction & Learning Objectives
Learning Objectives
Identify and understand the components of a line plot.
Organize a given set of fractional data.
Construct a line plot using fractional data, including choosing an appropriate scale.
Interpret data presented on a line plot that uses fractions.
Solve problems by analyzing information from line plots with fractional values.
Explain the meaning of 'X' marks and their frequency on a line plot.
Have you ever measured something like the length of your pencils or the amount of milk left in different cartons? 📏🥛 What if those measurements weren't whole numbers, but fractions?
In this lesson, you'll learn how to organize and display data that includes fractions using a special graph called a line plot. You'll also discover how to 'r...
2
Key Concepts & Vocabulary
TermDefinitionExample
Line PlotA graph that shows the frequency of data along a number line. Each data point is represented by an 'X' above its value on the line.If you measure the lengths of 5 pencils and get 5 inches, 5 1/2 inches, 5 1/2 inches, 6 inches, and 6 1/4 inches, a line plot would show 'X's above 5, 5 1/2, 6, and 6 1/4, with two 'X's above 5 1/2.
Data SetA collection of related information or measurements, often presented as a list of numbers.The data set for the lengths of pencils could be: {5, 5 1/2, 5 1/2, 6, 6 1/4} inches.
FractionA number that represents a part of a whole. It is written as a numerator over a denominator (e.g., 1/2, 3/4).In the measurement 3 1/2 inches, '1/2' is the fraction, meaning one part out of two equal parts o...
3
Core Formulas
Rule for Creating a Line Plot with Fractions
1. Collect your data.
2. Draw a number line that covers the range of your data, from the smallest to the largest value.
3. Choose an appropriate fractional scale for your number line (e.g., halves, fourths, eighths) so all data points can be marked.
4. Label the number line clearly.
5. For each data point, place an 'X' above its corresponding value on the number line. Stack 'X's vertically if a value appears more than once.
6. Give your line plot a clear title.
Use this rule to transform a list of fractional measurements or observations into a visual line plot. Ensure your number line's scale allows for accurate placement of all fractions in your data set. For example, if you have data with 1/2 and 1/4, your...
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Challenging
A line plot shows that 6 bags of nuts have a weight of 1/2 pound each. If the nuts from these 6 bags are combined and then redistributed equally into 3 new bags, what will be the weight of each new bag?
A.1 pound
B.3 pounds
C.1/2 pound
D.1 1/2 pounds
Challenging
A line plot shows the hours spent on a project. There is 1 'X' at 1/4 hr, some 'X's at 1/2 hr, and 2 'X's at 3/4 hr. If the total time spent on all projects was 3 1/4 hours, how many students worked for 1/2 hour?
A.2
B.3
C.4
D.5
Challenging
A line plot shows the lengths of worms found in a garden. The data is {1/2, 3/4, 1/2, 1, 1/4, 1/2, 3/4, 1/4, 1}. If two more worms of length 3/4 inch are found and one worm of length 1/2 inch is removed from the data, what is the new frequency of the 3/4 inch measurement?
A.2
B.3
C.4
D.5
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