Interpreting Scale Maps and Distances

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1 Getting Started
2 Watch and Notice
3 Try It Together
4 Record Your Measurements in Your Copy
5 Class Challenge
6 What Did We Notice?
7 What's Next
Pupil practice

1 - Getting Started ~4 mins

Illustration for Getting Started Here is a map of part of Ireland. Down in the corner it says the scale: 1 cm = 2 km.

Key point

Two towns on the map sit 3 cm apart on the paper. How far apart are they really, out on the ground?

Teacher Notes

Take three hands-up answers, not open call-outs. Do not confirm the answer yet — the whole lesson pivots on the idea that the paper distance is not the real distance.

Listen for anyone who says '3 km': that is the paper-equals-real slip this lesson exists to fix. Hold it and say we'll check that together.

👇 Mark your steps as done as you complete them.

+5 XP

2 - Watch and Notice ~10 mins

Watch how each measured centimetre turns into a real distance. Read the scale first every time, and be ready to say the rule you spot.

From map measurement to real distance

Teacher Notes

These are four worked examples on the board. Work each one live — don't read them out as a script.

3 cm on a 1 cm = 2 km map → 3 × 2 = 6 km. Ask what we multiplied by, and why.
4.5 cm, same scale → 4.5 × 2 = 9 km. This is the one that catches people — the half-centimetre must be measured and multiplied too.
6 cm on a 1 cm = 500 m map → 6 × 500 = 3000 m = 3 km. The point: always read the scale first. Same 6 cm, but a much smaller real distance than the 2 km map would give.
Reverse: a real 12 km on a 1 cm = 2 km map → 12 ÷ 2 = 6 cm. Draw out that this undoes the multiplying: if one centimetre is worth 2 km, we divide the real kilometres by 2 to find the centimetres.

Revoice the rule a pupil offers: measure the centimetres, then multiply by what one centimetre is worth; to go backwards, divide the real distance by what one centimetre is worth.

👇 Mark your steps as done as you complete them.

+10 XP

3 - Try It Together ~11 mins

Take your printed scale map and a ruler. The scale is 1 cm = 2 km.

Key point

Measure each one to the nearest half-centimetre, then multiply by 2 to find the real distance in kilometres.

We measure and convert three routes together. First the straight road. Then the river crossing. Then the coast path.

Hands-on Task

Teacher Notes

Pupils measure at their desks with their own rulers — circulate and catch alignment slips on the spot. The class reads aloud and you reconcile any disagreement as you circulate.

Watch for pupils lining the ruler up from the 1 cm mark instead of 0 — that adds two phantom kilometres. Watch for anyone who measures 4.5 cm but converts only the whole 4 cm. Revoice: the half-centimetre is worth 1 km on this map, so it counts too.

Reconcile the three real answers on the board as you go: the straight road reads 3.0 cm → 6 km, the river crossing 4.5 cm → 9 km, the coast path 6.5 cm → 13 km.

+15 XP

4 - Record Your Measurements in Your Copy ~2 mins

COPYBOOK MOMENT

In your maths copy, write the scale at the top: 1 cm = 2 km.

Then, for each map distance you measured, write the map distance in centimetres, the multiplication you did, and the real-world distance in kilometres, one under the other:

3.0 cm × 2 = 6 km
4.5 cm × 2 = 9 km
6.5 cm × 2 = 13 km

Teacher Notes

Walk the room glancing that the scale is written at the top and that each line shows the multiplication, not just the answer — this is whole-class copybook practice, not marking.

+10 XP

5 - Class Challenge ~8 mins

Using your printed map (scale 1 cm = 2 km), work through these, getting harder as we go:

town-to-town road (3 cm)
school-to-pitch route (4.5 cm)
full coast path (7.5 cm)
a real journey is 15 km — how many centimetres would it be on this map?

Tip

The last one works backwards, just like the fourth board earlier: we divide instead of multiply.

Using the printed map with scale 1 cm = 2 km, find the real distance for each measured route, then work backwards to find a map length from a real distance.

The town-to-town road measures 3 cm on the map. How far is it really?
The school-to-pitch route measures 4.5 cm on the map. How far is it really?
The full coast path measures 7.5 cm on the map. How far is it really?
A real journey is 15 km. How many centimetres long would it be on this map? (Divide by the scale, as we did on the last board.)

Ways to start:

Measure the route in centimetres to the nearest half-centimetre first.
Multiply your centimetres by 2 to get the kilometres.

Stretch:

A real journey is 15 km. To find its map length, divide by the scale: 15 ÷ 2 = 7.5 cm.

Answers & strategies (teacher)

The town-to-town road measures 3 cm on the map. How far is it really? — 6 km
The school-to-pitch route measures 4.5 cm on the map. How far is it really? — 9 km
The full coast path measures 7.5 cm on the map. How far is it really? — 15 km
A real journey is 15 km. How many centimetres long would it be on this map? (Divide by the scale, as we did on the last board.) — 7.5 cm

Teacher Notes

This is the practice round — pupils take turns reading each measurement aloud, the class confirms the multiplication, and everyone checks before moving on. Keep the board work brisk rather than over-explaining.

The final problem reverses the rule, exactly like the last Watch and Notice board (real km ÷ scale = map cm). Watch for pupils who try to multiply again — ask them: if 1 cm is worth 2 km, how many centimetres is 15 km worth? Answer: 15 ÷ 2 = 7.5 cm.

+15 XP

Pupil practice

Module 8 · Location, Transformations and Scale Algebra

Lesson 90 · Interpreting Scale Maps and Distances

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This lesson is copyright of Coding Ireland 2017 - 2025. Unauthorised use, copying or distribution is not allowed.

Teacher Class Feed

1 - Getting Started ~4 mins

2 - Watch and Notice ~10 mins

From map measurement to real distance

3 - Try It Together ~11 mins

Hands-on Task

4 - Record Your Measurements in Your Copy ~2 mins

5 - Class Challenge ~8 mins

Unlock the full learning experience

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