Mathematics
Grade 7
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 explain the key components of a line plot.
Accurately plot fractional data points on a number line.
Construct a line plot from a given data set containing fractions.
Interpret and extract specific information from a line plot with fractional data.
Calculate the range and mode of a data set presented on a line plot with fractions.
Solve real-world problems by creating and interpreting line plots with fractional measurements.
Ever wonder how to visually organize data like different lengths of fabric or varying amounts of ingredients in recipes? 📏
In this lesson, you'll learn how to create and interpret line plots, especially when your data involves fractions. This skill helps you make sense of measurements and quantities in a clear, visu...
2
Key Concepts & Vocabulary
TermDefinitionExample
Line PlotA graph that displays data using a number line and X's (or other marks) to show the frequency of each data point. Each 'X' represents one occurrence of a value.If you have data points 1/2, 1/4, 1/2, 3/4, a line plot would show two 'X's above 1/2, one 'X' above 1/4, and one 'X' above 3/4 on a number line.
Data SetA collection of related measurements or observations, often presented as a list of numbers.The lengths of five pencils: {5 1/2 inches, 5 3/4 inches, 5 1/2 inches, 6 inches, 5 1/4 inches}.
FractionA number representing a part of a whole, expressed as a numerator over a denominator (e.g., 1/2, 3/4).In the data set {1/4, 1/2, 3/4}, each number is a fraction representing a part of a whole unit.
FrequencyThe nu...
3
Core Formulas
Rule for Setting the Number Line Scale
To create an effective number line for fractional data, identify the smallest common denominator (LCD) of all fractions in your data set. Use this LCD to determine the intervals (e.g., if the LCD is 8, mark your number line in eighths).
This rule ensures that all fractional data points can be accurately placed on the number line, making the plot clear and easy to read. It's crucial for precise representation.
Rule for Plotting Data Points
For each data point in your set, place an 'X' (or other consistent mark) directly above its corresponding value on the number line. If a value appears multiple times, stack the 'X's vertically above that value.
This rule ensures that the frequency of each data value is clearly...
4 more steps in this tutorial
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Challenging
The line plot shows the weights of rocks in pounds. [A line plot has 1 'X' at 1/2, 2 'X's at 5/8, 3 'X's at 3/4, and 2 'X's at 7/8.] What is the median weight of the rocks?
A.3/4 lb
B.5/8 lb
C.11/8 lb
D.1/2 lb
Challenging
A student created a line plot for the data set: {1/2, 3/4, 6/8, 1/2}. The resulting plot has one 'X' at 1/2, one 'X' at 3/4, and one 'X' at 6/8. Based on the tutorial's 'Common Pitfalls', what is the primary error in the student's line plot?
A.The scale is incorrect; it should be in halves.
B.The frequency is wrong because a fraction was not simplified.
C.The range was calculated incorrectly.
D.The title of the line plot is missing.
Challenging
A recipe calls for adding salt several times. The amounts are 1/2 tsp, 1/4 tsp, 1/8 tsp, 1/2 tsp, 1/4 tsp, and 1/2 tsp. If you were to create a line plot of this data, what fraction of the salt additions were amounts less than 1/2 tsp?
A.1/3
B.1/2
C.1/6
D.2/3
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