X Tables
Maths Without Realising

You use maths when choosing a route home

A short, exciting page showing children how choosing a route home already uses distance and problem solving.

Quick answer

You use maths when choosing a route home because you need to think about distance, time, and problem-solving to get where you want to go.

Learning outcome

By the end of this page, you will understand how choosing a route home uses maths like distance, time, and problem-solving. Success signs:
  • You can compare two different routes using distance or time
  • You can explain why one route might be better than another
  • You can plan a simple route using a map or real-life situation
  • You can think about how traffic or obstacles affect your journey

Why this matters

When you choose a route home, you are already doing maths! You are thinking about distance, time, and how to solve problems. This helps you get home faster and safer. Whether you are walking, cycling, or taking the bus, you use maths every day to make good choices. Even grown-ups use maths when they drive or walk to work. You are already doing maths when you choose which way to go, and this helps you become better at thinking and solving problems.

How it works

Choosing a route home uses maths in these ways:
  1. Measuring distance – You might think, “Is this way shorter?” or “How far is it?”
  2. Thinking about time – You might say, “If I take this way, I’ll be home sooner.”
  3. Problem-solving – You think, “What if there’s traffic? What if it’s blocked?”
  4. Comparing options – You might choose the best path by comparing different routes.

Examples you can see

Let’s imagine you are walking home from school. Example 1: Walking home You can walk 100 metres in about 1 minute. If one way home is 200 metres and another is 300 metres, which way will get you home faster?
  • Way A: 200 metres = 2 minutes
  • Way B: 300 metres = 3 minutes
So, Way A is shorter and faster. Example 2: Taking a bus If a bus takes 10 minutes to get you home and walking takes 15 minutes, which is quicker?
  • Bus: 10 minutes
  • Walking: 15 minutes
So, the bus is faster. Example 3: Avoiding traffic If one route has traffic lights and another does not, which one might take longer?
  • Route A: 5 minutes with traffic lights
  • Route B: 4 minutes with no traffic lights
So, Route B is better.

Try it as a mini adventure

Adventure: The Route Challenge You are on a journey to get home from school. You can take three different paths. Each path has a different distance and time. Your mission is to choose the best route.
  • Path 1: 200 metres, takes 2 minutes
  • Path 2: 300 metres, takes 3 minutes
  • Path 3: 150 metres, takes 2 minutes
What is the best route? Why? Step 1: Measure the distance for each path. Step 2: Check how long each path takes. Step 3: Compare the paths to find the fastest and shortest. Step 4: Explain why you chose that route. Answer: Path 3 is the best because it is the shortest and takes the same time as Path 1.

Common mistakes

  • Mistake: Thinking that a longer path is always faster.
    Why it happens: Children might not understand that distance and time are connected.
    Fix: Use a simple example, like walking 100 metres in 1 minute and 200 metres in 2 minutes. This shows that more distance means more time.
  • Mistake: Choosing a route just because it looks shorter, not thinking about time.
    Why it happens: Young children often focus only on one part of a problem.
    Fix: Ask, “Does the shorter way take more or less time?”
  • Mistake: Not thinking about obstacles.
    Why it happens: Children may not consider things like traffic or construction.
    Fix: Ask, “What might stop you from going fast?”

Parent and carer guide

You can help your child by:
  • Asking questions like, “Which way do you think is faster?” or “How far do you think it is?”
  • Using a map or real-life route to compare paths
  • Letting your child draw or act out a journey
  • Encouraging them to explain their thinking
  • Not rushing to give the answer – let them figure it out
Remember: This is not about getting the right answer. It’s about helping your child think like a mathematician.

Practice questions

  1. Which route is shorter: 150 metres or 200 metres?
  2. If one path takes 3 minutes and another takes 5 minutes, which is faster?
  3. If a path is 100 metres and takes 1 minute, how long would a path that is 200 metres take?
  4. Which is better: a path that takes 2 minutes and is 100 metres, or one that takes 3 minutes and is 150 metres?
  5. If you walk 50 metres in 1 minute, how long would it take to walk 200 metres?
Answers:
  1. 150 metres is shorter
  2. The path that takes 3 minutes is faster
  3. It would take 2 minutes
  4. Both are the same speed (100 metres per minute)
  5. It would take 4 minutes

FAQ

Why do I use maths when choosing a route home?

You use maths because you are comparing distance, time, and problem-solving to choose the best way to get home.

Can I use maths to choose the best way to get to school?

Yes! You can think about how far it is, how long it takes, and what might get in the way.

What if I don’t know how far it is?

You can estimate or use a map, a timer, or ask someone for help.

How does maths help me when I’m walking?

It helps you know if one way is shorter or faster, so you can choose the best path.

Can I make a game out of choosing routes?

Yes! You can play “Route Detective” and try to find the best path every day.