How does a cartographer use maths?

Quick answer

A cartographer uses maths to make maps that show where things are and how far apart they are. They use coordinates to find exact places, scale to make big places fit on a small map, and direction to help people travel from one place to another.

Learning outcome

By the end of this page, you will understand how a cartographer uses maths to make maps that help people find their way around.

• You can explain how coordinates help find a place on a map
• You can use a scale to measure distances on a map
• You can identify directions like north, south, east, and west
• You can create a simple map using maths

Why this matters

Maps are everywhere – in your school, your home, and on your phone. They help you find your way when you’re lost, plan a journey, or play a treasure hunt game. Cartographers use maths to make these maps. When you use a map, you're using the same maths that helps explorers, pilots, and even your local delivery driver find their way.

Understanding how cartographers use maths helps you become better at problem-solving, working with directions, and thinking about space and distance. These skills are useful in many jobs, from construction to space travel!

How it works

Cartographers use maths in three main ways:

1. Coordinates – These are numbers that help us find a place on a map. Like a house number, but for the whole world!
2. Scale – This is how big or small a map is compared to the real world. For example, 1 cm on a map might mean 100 metres in real life.
3. Direction – This helps us know which way to go. Compass directions like north, south, east, and west are very important.

Examples you can see

Imagine you’re planning a trip from your house to the park. You use a map to see how far it is and which way to go.

Coordinates

Think of a grid like a chessboard. Each square has a letter and a number. For example, "A3" means the third square in the first row. A cartographer uses this to say exactly where a mountain or a school is. The grid helps them plot everything on a map.

Scale

If your map shows that 1 cm = 50 metres, then if the park is 2 cm away from your house on the map, it’s really 100 metres away in real life. This helps you plan how long it will take to walk or cycle there.

Direction

When you look at a compass, you see directions. If the park is to the north-east of your house, you know to walk up and to the right. Cartographers use this to make sure all maps show the same directions, so everyone can follow them.

Try it as a mini adventure

Adventure: Map the Playground

You are a young cartographer. Your job is to draw a map of your school playground using maths. Here’s how:

1. First, walk around the playground and mark where each thing is (slide, swings, trees, benches).
2. Choose a scale – for example, 1 cm = 1 metre.
3. Draw a grid on your paper like a chessboard.
4. Use coordinates to mark where each thing is (like "A1" or "B3").
5. Draw each thing on your map using the scale.
6. Write the directions to get from one place to another (e.g., "Go from the swings to the tree, then turn right").

Now you have a real map you made using maths!

Common mistakes

• Mistake: Thinking that a map is exactly the same size as the real place.
• Why it happens: Children often imagine that the map is a big version of the real world.
• Fix: Remember that maps are smaller and use scale to fit big places into a small space.

• Mistake: Mixing up the directions like north and east.
• Why it happens: It’s easy to get confused when you’re learning new words.
• Fix: Use a compass or a map with a compass rose to help you remember the directions.

• Mistake: Not using coordinates to find a place.
• Why it happens: Coordinates can feel tricky at first, but they are very helpful.
• Fix: Practice with a simple grid and start with easy letters and numbers like "A1" and "B2".

Parent and carer guide

Help your child understand how cartographers use maths by:

1. Using a real map at home or in a book to talk about scale and directions.
2. Playing a game where you give directions to find a hidden toy using compass directions.
3. Letting your child draw a simple map of their room or garden using a scale.
4. Using a compass to practice finding directions in your local area.
5. Discussing how maps help people travel, plan journeys, and find places.

Remember to keep it fun and hands-on. The more your child plays with maps and directions, the more they will understand.

Practice questions

1. What does scale mean on a map?
2. How do coordinates help a cartographer find a place?
3. Which direction is opposite to north?
4. If 1 cm on a map equals 100 metres, how far is 3 cm on the map in real life?
5. What is one way cartographers use maths in their job?

Answers:

1. Scale is how much smaller or larger a map is compared to the real world.
2. Coordinates are like house numbers that tell exactly where a place is on a map.
3. South is opposite to north.
4. 3 cm on the map is 300 metres in real life.
5. They use maths to make maps that show where things are and how far apart they are.

FAQ

What is a cartographer?

A cartographer is a person who makes maps. They use maths, science, and technology to show the world on paper or on a screen.

Why do cartographers need maths?

Cartographers use maths to make sure maps are accurate. They need to know how to measure distances, use directions, and work with scale so people can trust their maps.

Can I be a cartographer?

Yes! If you like maps, drawing, and solving puzzles, you might enjoy being a cartographer. You’ll need to learn maths, geography, and maybe computer skills.

How do I practice using coordinates?

You can practice by playing games like Battleship or using a grid to find hidden objects. You can also draw a grid on paper and ask a friend to give you coordinates to find.

What tools do cartographers use?

Cartographers use compasses, rulers, GPS devices, and computers. They also use maths to make sure everything fits together correctly on the map.