# How far?

Achievement Objectives
GM4-4: Interpret and use scales, timetables, and charts.
Student Activity

At 1:00pm, two planes leave one after the other, from Auckland airport.
One lands at Christchurch airport at 2:30pm and the other lands at Sydney airport at 2:30pm.

Does that mean that Christchurch and Sydney are both the same distance from Auckland?

If not, how long does the plane going to Sydney actually take?

Specific Learning Outcomes
Calculate using the 24-hour clock and time zones
Devise and use problem solving strategies to explore situations mathematically (make a drawing, be systematic)
Description of Mathematics

This problem introduces international time zones.

Required Resource Materials
airline timetables (departure and arrival times)

Copymaster of the problem (English)

Copymaster of the problem (Māori)

map of the world with time-zones

Activity

### Problem

At 1:00pm, two planes leave one after the other, from Auckland airport. One landsat Christchurch airport at 2:30pm and the other lands at Sydney airport at 2:30pm. Does that mean that Christchurch and Sydney are both the same distance from Auckland?

If not, how long does the plane going to Sydney actually take?

### Teaching Sequence

1. Pose the problem to the class.
2. Ask: Are Christchurch and Sydney the same distance from Auckland?
How is it possible for the planes to arrive at the same time?
3. Have students research flight times and time zones.
4. Agree on the flight time to Sydney.

5. Have students work individually or in pairs to create their own problem for others to solve, based on flight and time zone information that they find in their online research.
6. Have students find solutions to other's time zone problems.

#### Solution to the problem

A map or online information will confirm that Sydney is further away from Auckland than is Christchurch.

Sydney and Auckland are in two different time zones. When it is 1:00pm in Auckland it is 11:00am in Sydney. When the plane lands in Sydney at 2:30pm, it is 4:30pm in Auckland. Flight time Auckland to Sydney is around 3.5 hours, and to Christchurch around 1.5 hours.

Attachments
HowFar.pdf113.93 KB
EHiaTeRoa.pdf199.85 KB