Lesson

Can you identify and compare fractions of a circle?

Answer the following questions.

a

Complete the statement:

A half is one whole which has been divided into ⬚ equal parts.

Worked Solution

b

Which of the following represents \dfrac{1}{2} on a circle?

A

B

Worked Solution

Idea summary

The following table shows how many parts are in a whole:

Name of each part | \text{Half} | \text{Third} | \text{Fourth} | \text{Sixth} | \text{Eight} |
---|---|---|---|---|---|

Number of equal parts | 2 | 3 | 4 | 6 | 8 |

This video looks at the features of a pie chart including the key/legend. Understanding these key features can help us to interpret the data.

Every student in Year 8 was surveyed on their favourite subject, and the results are displayed in this pie chart:

a

Which was the most popular subject?

Worked Solution

b

Which was the second most popular subject?

Worked Solution

c

What percentage of the class selected Science, Phys. Ed., or Languages?

A

3\%

B

30\%

C

25\%

D

50\%

Worked Solution

Idea summary

The key tells us what each segment of the pie chart represents. When we don't need to know exact numbers, a pie chart is a great way to see how data is spread.

Construct, interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables