How Taking Bearings Outside Helped Students Finally Understand Scale Drawings

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Teaching bearings GCSE through constructing bearings from written descriptions and scale drawings sounded straightforward on paper. Students sketched a journey from point to point using bearings and measured distances. In practice, it exposed a GCSE-style trap that is easy to miss until you see it in student work.

If bearings are on your radar for revision as well as teaching, the GCSE Maths revision lessons hub pulls together structured revision you can set for independent practice, then follow up in class with the same language students have already met.

For a concise recap students can use alongside practical work, see BBC Bitesize: measuring bearings (three-figure bearings from north).

The first part of the lesson went well. Most students drew the first bearing accurately, measured the correct distance and completed the first leg of the journey. The difficulty appeared as soon as they reached the next destination.

Several students forgot to draw a new north line at the second point. Instead, they measured the next bearing from the direction of travel of the previous line. As the questions grew longer, that habit became harder to unpick because every later angle looked “locally” reasonable on the page.

The question students first found difficult was:

A ship heads out to sea, from port, on a bearing of 070° for 6 km and then on a bearing of 120° for 5 km. Using a scale of 1 cm : 1 km, construct a scale drawing of this journey.

Use this scale drawing to find:
i). the bearing on which the ship has to head to return to port.
ii). the actual distance the ship is from port.

In many ways, the mistake made sense. Students were treating the second instruction as “turn 120°” rather than “construct a bearing of 120° from north at the new location”. That distinction sounds small, but conceptually it is huge. The first version is a turn relative to where you were facing; the second is a position described from north at your new location.

I decided the follow-up lesson had to make that idea physical. Instead of only drawing journeys on paper, students needed to experience arriving somewhere new, finding north again, and only then constructing the next bearing from that point.

Teaching bearings GCSE: orienteering outside

For the second lesson, I took the class onto the school field for a short orienteering-style activity. Before the lesson, I borrowed sports cones from PE, trundle wheels from science and compasses from the maths department. During a free period, I set out labelled locations around the field.

The points were deliberately irregular. Students could not rely on visual estimation or memory; they had to repeatedly orientate north and reconstruct each bearing carefully.

When students arrived, I explained that we were repeating the previous lesson in a practical context. Students worked in pairs or groups of three, each with a compass and a trundle wheel.

I gathered the class at the cone marked A and demonstrated how to take a bearing. First, I showed how to orientate north by lining up the arrows on the base plate with the dial and the north needle on the compass. I then asked every group to do the same.

That step immediately revealed another misconception. Some students had orientated the compass to north, but their bodies were still facing a different direction. I explained that the needle, the compass, our bodies and our faces all needed to be aligned. I knew we were ready to move on when every student in the demonstration group was facing the same way.

From point A, I asked students to rotate their body and compass so they faced directly towards point B. Once facing the correct direction, we adjusted the dial so it lined up with the needle. The number shown at the front of the dial gave us the bearing.

I then demonstrated how to sketch this on paper. Sketching the bearing turned out to be the easiest part of the demonstration. The earlier lesson had already helped students draw the angle from north. The real difficulty had been understanding that the whole process restarts at every new location.

With everybody facing point B, we walked to the cone and used the trundle wheel to measure the distance. At B, we repeated the process: a new north line, then the bearing from B to C.

Demonstrating B to C felt easier than A to B. Because students had physically travelled to a new location, drawing a new north line felt natural rather than like an extra rule to remember.

After the guided journey, students started from a different point instead of returning to A. Each group chose its own sequence around the field, so they could not copy the demonstrated route. They had to orientate themselves, establish north again and construct new bearings independently, over and over.

At first, I supported groups quite heavily. After around 10 to 12 minutes, almost every group was working independently. Students moved from point to point, measured distances with the trundle wheels and produced their own sketch maps of the journey.

The activity quickly became exploratory rather than procedural. Drawing a north line was no longer an extra instruction to remember. It became part of arriving somewhere new.

Returning to scale drawings in the classroom

After about 30 minutes outside, we returned and discussed what we had done—then I wanted to see whether teaching bearings GCSE on paper would finally feel as obvious as it had on the field.

I then set an exam-style bearings question very similar to the one many had struggled with previously.

The question asked students to apply the same idea to a new context:

A helicopter flies from the helipad on a bearing of 028° for 12.6 km, and then on a bearing of 104° for 20 km. Using a scale of 1 cm : 2 km, construct a scale drawing of this journey.

Use this scale drawing to find:
i). the bearing on which the helicopter has to fly to return to the helipad.
ii). the actual distance the helicopter is from the helipad.

This time, students naturally drew a new north line at the second point before constructing the next bearing.

The improvement was immediate. Students constructed the scale drawing accurately, measured the final distance and used the correct bearing to describe the route back to the starting point.

What had felt like an abstract rule now felt obvious. Each new point in the journey needed its own north line because each new point was a new “here” on the diagram, the same way it had been a new “here” on the field.

For many students, the short orienteering activity made the structure of bearings questions feel intuitive for the first time.

What I would change next time

Although the lesson was very positive, a few changes would make the start sharper.

The biggest issue was the size of the compass during the initial demonstration. Showing a class of 30 how to orientate with a small handheld compass meant many students could not see clearly enough.

Next time, I would use a compass app on an iPad (or a visualiser) so the demonstration is large and easy for everyone to follow.

I would also deploy students with orienteering experience more deliberately. Several students grasped the process quickly and supported others, but I could have ensured each group had at least one confident navigator from the start.

Final thoughts

Teaching bearings GCSE sometimes stalls not because the mathematics is too difficult, but because the context stays too abstract. Bearings are a small notation for a big idea: direction from north at a specific place.

By taking bearings outside, students experienced the journey physically. They moved to a new location, found north again and then constructed the next bearing. The process matched what they were doing in the field, so the diagram stopped fighting their intuition.

The activity went down well enough that my department asked me to present the lesson at our next faculty development meeting, which I am looking forward to sharing.

If you want to try something similar, the Scale Drawings and Bearings lesson introduces bearings and scale drawings for Key Stage 3, while Bearings and Scale Drawings develops GCSE application and problem solving. For Year 11 revision, the GCSE Bearings revision lesson is a focused next step, and the GCSE Maths revision lessons hub helps you place bearings alongside the rest of your revision priorities in one place.