Grade: Grade 5 Subject: Mathematics Unit: Data & Patterns SAT: ProblemSolving+DataAnalysis ACT: Math

Line Graphs

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What is a Line Graph?

A line graph is a type of chart that uses points connected by lines to show how data changes over time. It's perfect for showing trends, patterns, and changes in data.

Line graphs help us answer questions like: "Is something increasing or decreasing?" and "How quickly is it changing?"

Parts of a Line Graph

Title

Tells you what the graph is about. Always read the title first!

X-Axis (Horizontal)

Usually shows time periods like days, weeks, months, or years.

Y-Axis (Vertical)

Shows the quantity being measured, like temperature, sales, or height.

Data Points

Dots that represent each piece of data. They show the exact value at each time.

Line Segments

Lines connecting the dots show how data changes between points.

Scale

Numbers on the axes that help you read exact values from the graph.

Temperature Over a Week

Reading a Line Graph

1

Read the Title

Understand what the graph is measuring and what time period it covers.

2

Check the Axes

Look at what each axis represents and the scale (intervals between numbers).

3

Find Specific Values

To find a value, locate the point on the x-axis, then read across to the y-axis.

4

Identify Trends

Look at the overall direction: Is the line going up, down, or staying steady?

Types of Trends

Increasing Trend

Line goes up from left to right. Values are getting larger.

Decreasing Trend

Line goes down from left to right. Values are getting smaller.

Steady/Constant

Line stays mostly flat. Values stay about the same.

Line Graph Tip: The steeper the line, the faster the change! A gentle slope means slow change, while a steep slope means rapid change.

Examples

Example: Reading Temperature Data

Using the temperature graph above:

  • What was the temperature on Tuesday? Find Tuesday on the x-axis, go up to the point, then read across to the y-axis: 68°F
  • Which day was hottest? Find the highest point on the graph: Thursday at 75°F
  • What's the trend from Monday to Thursday? The line goes up - temperature is increasing

Example: Finding the Change

If the temperature was 65°F on Monday and 75°F on Thursday:

Change = 75 - 65 = 10°F increase

The temperature increased by 10 degrees over those 4 days.

Interactive Line Graph Builder

Create Your Own Line Graph

Enter data values for each day and click "Draw Graph" to see your line graph!

Day Value
Mon
Tue
Wed
Thu
Fri

Practice Problems

Books Read Each Month

Problem 1

Based on the graph above, how many books were read in March?

Problem 2

Which month had the most books read?

Problem 3

What is the overall trend from January to April?

Problem 4

How many more books were read in April than in January?

Problem 5

Between which two consecutive months was the biggest increase?

Check Your Understanding

Question 1

What makes a line graph different from a bar graph?

Question 2

If a line on a graph is very steep going upward, what does that tell you?

Question 3

When would you choose a line graph instead of a bar graph?

Summary

📈

Shows Change

Line graphs display how data changes over time.

📊

Key Parts

Title, x-axis, y-axis, data points, and line segments.

📉

Trends

Identify increasing, decreasing, or steady patterns.

🎯

Read Values

Use the axes to find exact data values at any point.

Remember: Line graphs are powerful tools for seeing patterns and making predictions. The lines help you see not just individual values, but how things change over time!

Next Steps

  • Practice reading line graphs in newspapers or online
  • Try creating your own line graph with real data (like daily temperatures)
  • Move on to Numerical Patterns to learn more about finding patterns in data