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Cross Curricular Maths

Maths in navigation

Connect maps, angles, stars and sailing routes to mathematics.

Quick answer

Maths in navigation helps us find our way using maps, compasses, angles, and distances.

Learning outcome

By the end of this page, you will understand how maths helps us navigate from one place to another, using tools like maps, compasses, and distance calculations. Success signs:
  • You can explain how a compass works using maths
  • You can read a simple map with a scale
  • You can use a compass to find directions
  • You can solve a simple navigation problem

Why this matters

Navigation is used every day, whether you're walking to school, going on a trip, or even playing a game. Maths helps us understand directions, distances, and how to get from one place to another. It's used in GPS, maps, and even in ancient times when sailors used stars to find their way across oceans.

How it works

Navigation uses many maths skills:
  1. Understanding directions (North, South, East, West)
  2. Using a compass to measure angles
  3. Reading maps with scales
  4. Calculating distances
  5. Following routes and paths

Examples you can see

Let's imagine you're going on a treasure hunt in your garden. You need to follow directions to find the treasure. Here's how maths helps:
  • You start at the big oak tree (this is your starting point)
  • You walk 10 steps North
  • You turn 90 degrees to the right (that's East)
  • You walk 5 steps
  • You find a rock and dig there
Real-world example: When you're on a bus or train, you use maths to understand the time and distance. If a bus is 15 minutes away and travels at 30 km/h, you can work out how far it has to go. This is navigation using speed and time!

Try it as a mini adventure

Adventure: The Lost Pirate Treasure You are a pirate captain and need to find a hidden treasure. You have a map with these clues:
  1. Start at the old lighthouse
  2. Walk 12 steps North
  3. Turn 90 degrees to the left
  4. Walk 8 steps
  5. Turn 90 degrees to the right
  6. Walk 4 steps
  7. Find the treasure!
Try drawing this on paper or walking the route in your garden. Use a compass or turn with your body to make sure you're turning the right way.

Common mistakes

  • Mistake: Confusing left and right turns when following directions
    Why it happens: It's easy to forget which way is left and right when you're moving
    Fix: Practice turning with your body or use your hands to show left and right
  • Mistake: Not using the compass correctly
    Why it happens: A compass points to magnetic north, not true north
    Fix: Remember that compass directions are based on a special map and that the needle points to magnetic north
  • Mistake: Misreading a map scale
    Why it happens: The scale shows how far 1 cm on the map equals in real life
    Fix: Always check the scale and measure distances carefully

Parent and carer guide

Parents and carers can help by:
  • Using a compass when walking or driving to show directions
  • Reading a map together and identifying landmarks
  • Practicing turning left and right with your child
  • Playing games like "follow these directions" using a room or garden
  • Looking at maps together and discussing how far places are from each other
  • Encouraging children to draw their own simple maps
What to say: "Let's look at this map together and see how far it is from here to the park." What not to worry about: Your child doesn't need to know exact compass angles. Focus on understanding directions and how maps help us find our way.

Practice questions

  1. If you walk 5 steps North and then 3 steps East, which direction should you turn to go back to where you started?
  2. A compass points to which direction?
  3. If a map scale is 1 cm = 100 m, how far is 4 cm on the map in real life?
  4. What direction is opposite to North?
  5. If you're facing East and turn 90 degrees to the right, which direction are you facing now?
Answers:
  1. South West
  2. Magnetic North
  3. 400 metres
  4. South
  5. South

FAQ

What is navigation?

Navigation is the process of planning and following a route from one place to another using tools like maps, compasses, and GPS.

How does a compass work?

A compass works by using a magnetised needle that always points to magnetic north. This helps us know which direction we're going.

Why do we need to learn about navigation?

Navigation helps us in everyday life, like when we're going to school, shopping, or on holiday. It's also important for jobs like pilots, sailors, and explorers.

How can I practice navigation at home?

You can practice by using a compass, reading maps, or playing games that involve following directions. Try drawing a simple map of your house or garden!

What is a map scale?

A map scale shows how distances on the map relate to real distances. For example, 1 cm on the map might equal 100 metres in real life.