# Where's the WiFi?

Purpose

The purpose of this activity is to engage students in using compass directions and compass constructions to solve a location problem.

Achievement Objectives
GM4-7: Communicate and interpret locations and directions, using compass directions, distances, and grid references.
Description of Mathematics

The background knowledge and skills that need to be established before and/or during this activity are outlined in the diagram below:

The activity ideally follows exploration and learning in the following areas, solving problems of the type shown as examples.

Click to show example questions for each heading

To solve this problem, the students may locate the positions given with a combination of calculations and measurements. The guidance given should be chosen in sympathy with their skills and preferred method of solution.

Activity

Arthur, Betty and Charlotte are all at school, in different rooms, successfully using their friend Darren’s WiFi hotspot from his phone.

Arthur and Betty can connect within 50m of Darren’s phone, but Charlotte’s phone can manage 80m.

The map of the school, below, shows where Arthur, Betty and Charlotte are at the moment.

Darren is due East of Arthur who is in room 3.

Betty is in room 13 and Charlotte, in room 11 is Northeast of Darren.

Where is Darren?