Grasp Maths

Year 5

Solve comparison, sum and difference problems using information presented in a line graph

Read line graphs carefully and use them to solve comparison, sum and difference problems.

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Lesson overview

Statistics

A line graph shows how a value changes. We read each plotted point using the axes, then compare values or calculate totals and differences from the graph.

Read the point

If Tuesday lines up with 12 on the vertical axis, the value on Tuesday is 12.

DayTuesday
Value12

Use the horizontal axis first, then read up to the vertical scale.

Find the difference

If Monday is 8 and Thursday is 14, the difference is 6.

Difference means subtract.

Find the total

If Wednesday is 10 and Thursday is 14, the total is 24.

Sum means add the values.

Worked example

A line graph shows 9 on Friday and 15 on Saturday. How much greater is Saturday?

  1. Read the two values from the graph.
  2. Friday is 9 and Saturday is 15.
  3. Subtract 9 from 15.
  4. Saturday is 6 greater.

Round 1: Learn it

Read the graph values first, then choose whether to add or subtract.

Finish this round to unlock Round 2: Show you know it.

Question 1

If a point for Tuesday lines up with 12, what is the Tuesday value?

Tuesday
Value12
Question 2

Monday is 8 and Thursday is 14. What is the difference?

Question 3

Wednesday is 10 and Thursday is 14. What is the sum?

Question 4

Friday is 9 and Saturday is 15. How much greater is Saturday?

Question 5

Which operation fits a line-graph total?

Sum
Operation

Common mistakes

Watch for these as you work through the lesson.

  • Reading the wrong value from the vertical axis.
  • Adding when the question asks for a difference.
  • Comparing the wrong two points.

Related topics

These ideas connect closely to this lesson.

  • Complete, read and interpret information in tables, including timetables.
  • Read and plot coordinates in the first quadrant and translate simple shapes.

Practice next

Independent practice will plug in here

This lesson teaches the pattern first. Deeper Year 5 practice can connect here later.