Grade 4
  1. Numbers and Place Value  1.1. Understanding Place Value  1.2. Reading and Writing Large Numbers  1.3. Comparing and Ordering Numbers  1.4. Rounding Numbers  1.5. Understanding Odd and Even Numbers  1.6. Number Patterns and Sequences
  2. Addition and Subtraction  2.1. Addition of Large Numbers  2.2. Subtraction of Large Numbers  2.3. Estimation in Addition and Subtraction  2.4. Word Problems on Addition and Subtraction
  3. Multiplication and Division  3.1. Understanding Multiplication  3.2. Multiplying Multi-Digit Numbers  3.3. Understanding Division  3.4. Dividing Multi-Digit Numbers  3.5. Multiplication and Division Facts  3.6. Word Problems on Multiplication and Division
  4. Factors and Multiples  4.1. Understanding Factors  4.2. Finding Common Factors  4.3. Understanding Multiples  4.4. Finding Common Multiples  4.5. Prime and Composite Numbers  4.6. Prime Factorization  4.7. Greatest Common Factor  4.8. Least Common Multiple
  5. Fractions  5.1. Understanding Fractions  5.2. Equivalent Fractions  5.3. Simplifying Fractions  5.4. Comparing and Ordering Fractions  5.5. Addition of Fractions  5.6. Subtraction of Fractions  5.7. Mixed Numbers and Improper Fractions  5.8. Converting Mixed Numbers to Improper Fractions  5.9. Word Problems on Fractions
  6. Decimals  6.1. Understanding Decimals  6.2. Reading and Writing Decimals  6.3. Comparing and Ordering Decimals  6.4. Rounding Decimals  6.5. Addition of Decimals  6.6. Subtraction of Decimals  6.7. Converting Decimals to Fractions  6.8. Converting Fractions to Decimals  6.9. Word Problems on Decimals
  7. Measurement  7.1. Length  7.1.1. Units of Length  7.1.2. Converting Units of Length  7.1.3. Perimeter  7.1.4. Area  7.1.5. Word Problems on Length  7.2. Weight  7.2.1. Units of Weight  7.2.2. Converting Units of Weight  7.2.3. Word Problems on Weight  7.3. Volume and Capacity  7.3.1. Units of Volume  7.3.2. Converting Units of Volume  7.3.3. Estimating Volume and Capacity  7.3.4. Word Problems on Volume and Capacity  7.4. Time  7.4.1. Reading Time  7.4.2. Units of Time  7.4.3. Converting Units of Time  7.4.4. Calculating Elapsed Time  7.4.5. Word Problems on Time
  8. Geometry  8.1. Properties of Shapes  8.1.1. Types of Angles  8.1.2. Types of Triangles  8.1.4. Symmetry  8.1.5. Lines of Symmetry  8.2. Perimeter and Area  8.2.1. Perimeter of Rectangles  8.2.2. Perimeter of Other Shapes  8.2.3. Area of Rectangles  8.2.4. Area of Other Shapes  8.2.5. Area of Irregular Shapes  8.3. Coordinate Geometry  8.3.1. Understanding Coordinates  8.3.2. Plotting Points on a Grid  8.3.3. Identifying Shapes on a Grid
  9. Data and Graphs  9.1. Types of Data  9.2. Organizing Data  9.3. Reading Bar Graphs  9.4. Drawing Bar Graphs  9.5. Line Plots  9.7. Reading and Interpreting Line Graphs  9.8. Word Problems on Graphs
  10. Money  10.1. Understanding Money  10.2. Addition and Subtraction with Money  10.3. Making Change  10.4. Multiplying and Dividing Money  10.5. Word Problems on Money

Grade 4 → Data and Graphs ↓


Line Plots


Line plots are a simple way to show data with a number line. In grade 4 math, you will often use line plots to show how many times each number appears in a set of data. Let's dive into understanding line plots with lots of examples.

What is a line plot?

A line plot is a graph that shows the frequency of data along a number line. It uses Xs, dots, or other symbols to show how often each number appears. This kind of graph is very useful when you want to quickly see which numbers occur most frequently and how often they appear.

Steps to create a line plot

Creating a line plot is easy! You can create it like this:

  1. Gather your data.
  2. Draw a horizontal line for your number line.
  3. Choose a scale for your number line based on your data.
  4. Put an X or a dot above each number to show how many times it appears.

Example: Creating a line plot

Suppose we have the following data set showing how many apples the students in a class ate during the week: 3, 4, 7, 6, 3, 5, 6, 4, 5, 3, 4.

Follow these steps with our data:

  1. First, draw a line and label the scale from 1 to 8, which is the range of our data. This is your number line.
  2. Now, count how many times each number occurs in the data and mark it above the number in the row.

The line plot will look like this:

    
        
        1
        2
        3
        4
        5
        6
        7
        8
        X
        X
        X
        X
        X
        X
        X
        X
        X
        X
        X

From this plot you can see that '3' appears 3 times, '4' appears 3 times, '5' appears 2 times, '6' appears 2 times, and '7' appears 1 time.

How to interpret a line plot

To interpret a line plot, look at which numbers have the most symbols above them. This will tell you which numbers appear most often in your data.

  • The number with the most symbols is the most common.
  • If all numbers have the same number of symbols, then the data is uniformly distributed.

Advantages of line plot

Line plots are beneficial in several ways:

  • They are simple and easy to understand.
  • They quickly show the frequency of numbers in the data.
  • They help to easily identify outliers or unusual data points.

Practicing line plots

Practice makes perfect! Let's try another example. Suppose your data set is the number of books read by students last month: 1, 2, 2, 3, 4, 4, 4, 5, 5, 6.

    
        
        1
        2
        3
        4
        5
        6
        X
        X
        X
        X
        X
        X
        X
        X
        X
        X

The number 4 occurs the most number of times because it has the most X's above it. It occurs three times.

Variations of sketches

While most line plots use X, you can choose any symbol. Some people use circles, dots, or other simple symbols. Choose what's appropriate for your data!

Conclusion

Line plots are a great way to communicate information about data quickly and effectively. They make it easy to see number frequencies and patterns. Understanding line plots is an important skill in grade 4 math, and now you have all the knowledge you need to create and read them!


Grade 4 → 9.5


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Line Plots

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