Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

Using graphs to represent lengths and heights

Lesson details

Learning outcome

I can represent lengths and heights on a graph and use them to solve problems

Key learning points

  1. Information about length and height from a table can be represented in a bar graph.
  2. Information represented in a bar graph can be used to solve problems.

Keywords

  • Graph - A graph is a visual way of showing information. A Bar Graph uses bars of different lengths or heights to represent information.

  • Axis - An axis on a graph is a fixed measuring line that runs horizontally (left to right) and/or vertically from zero:

Common misconception

Mistakes may be made on comparison problems. E.g. how much further does one child jump than another?

When we compare, we are finding the difference. To find the difference, we need to subtract the smaller value from the larger value.

Teacher tip

Bar graphs are used to present discrete data. Data related to length and height might be considered continuous but the way it is used here is for comparison and is a measurement taken at one point in time and so is considered discrete data.

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Loading...

Prior knowledge starter quiz

6 Questions

Q1.
Match the multiples with their times-table.

Correct Answer:10, 15, 20, 25,Five times-table

Five times-table

Correct Answer:4, 6, 8, 10,Two times-table

Two times-table

Correct Answer:20, 30, 40, 50,Ten times-table

Ten times-table

Correct Answer:2, 3, 4, 5,One times-table

One times-table

Q2.
How tall is this mouse? Tick all the options that apply.

An image in a quiz
4 mm
Correct answer: 40 mm
Correct answer: 4 cm
40 cm
4 m

Q3.
Which of these values is the greatest?

120 m
102 m
Correct answer: 122 m
112 m

Q4.
Look at this table showing estimated and actual lengths that children can kick a football. What does the 35 m represent?

An image in a quiz
The estimated length that Izzy can kick a football.
Correct answer: The actual length that Izzy can kick a football.
The actual length that Andeep can kick a football.
The estimate length that Jacob can kick a football.

Q5.
Match the letters to their appropriate number on this number line.

An image in a quiz
Correct Answer:A,10

10

Correct Answer:B,20

20

Correct Answer:C,30

30

Correct Answer:D,50

50

Q6.
Find the difference between 100 and 85.

An image in a quiz
185
25
Correct answer: 15

6 Questions

Q1.
A line on a bar graph that runs horizontally (left to right) from zero is known as .

the graph
the title
Correct answer: an axis

Q2.
If we were to represent the data in this table in a bar graph, what maximum value would be needed for the numerical axis?

An image in a quiz
20
25
30
Correct answer: 35

Q3.
If we were to represent the data in this table in a bar graph, what should the numbers labelled on the axis increase in?

An image in a quiz
Ones
Twos
Correct answer: Fives
Tens

Q4.
Look at the bar graph comparing the length of some objects. Match the object to its length.

An image in a quiz
Correct Answer:Pencil,10 cm

10 cm

Correct Answer:Book,25 cm

25 cm

Correct Answer:Eraser,5 cm

5 cm

Correct Answer:Glasses,15 cm

15 cm

Correct Answer:Pen,15 cm

15 cm

Q5.
Look at the bar graph comparing the length of some objects. Which object is the shortest?

An image in a quiz
Pencil
Book
Correct answer: Eraser
Glasses
Pen

Q6.
Look at the bar graph comparing the length of some objects. What is the difference in length between the longest and shortest object?

An image in a quiz
5 cm
Correct answer: 20 cm
25 cm
30 cm

To help you plan your 3 maths lesson on: Using graphs to represent lengths and heights, download all teaching resources for free and adapt to suit your pupils' needs...