Challenge Level

This problem gives a context in which learners can become more familiar with units of distance and begin to convert between them.

Start by talking with the children about the distance signs they may have noticed when on journeys. Some children may know that in some countries the distance is measured in miles and in others in kilometres. If not then introduce that information yourself. You may also need to explain the relationship between miles and kilometres (1km=$\frac{5}{8}$mile).

Give the group the information about the journey distances in miles and kilometres and invite them to talk to a partner about how they will match them up. Share some ideas and perhaps work through an example together before giving children time to work in their pairs on the rest of the challenge.

For the last part of the task, you will probably need to give learners time to do some paired research.

### Key questions

Tell me how you got your answers.

### Possible extension

Ask the children to create their own set of questions about the places in and around where they live.

Further extensions could be given concerning these journeys, where you give some information and ask them to find the rest. For example:

Mumbai to New York - 9768 miles, 15720 km

Dar es Salaam to Sydney - 7180 miles, 11555 km

Jakarta to Ottawa - 9714 miles, 15633 km

Cape Town to Nairobi - 2547 miles, 4099 km

Melbourne to Perth - 1692 miles, 2722 km

Auckland NZ to San Diego - 6502 miles, 10465 km

Give the group the information about the journey distances in miles and kilometres and invite them to talk to a partner about how they will match them up. Share some ideas and perhaps work through an example together before giving children time to work in their pairs on the rest of the challenge.

For the last part of the task, you will probably need to give learners time to do some paired research.

Further extensions could be given concerning these journeys, where you give some information and ask them to find the rest. For example:

- Munbai to New York is 9768 miles, which of the following shows how far that is in kilometres [15720, 11555, 15633, 4099, 2722, 10465]?
- Here are some distances between cities in kilometres: 15720, 15633, 2722, 10465, 4099, 11555. Here are the same distances in miles but not in the same order: 6502, 1692, 2547, 9714, 7180, 9768. Can you match them up?

Mumbai to New York - 9768 miles, 15720 km

Dar es Salaam to Sydney - 7180 miles, 11555 km

Jakarta to Ottawa - 9714 miles, 15633 km

Cape Town to Nairobi - 2547 miles, 4099 km

Melbourne to Perth - 1692 miles, 2722 km

Auckland NZ to San Diego - 6502 miles, 10465 km