How the Number Bus Helps Children Understand Addition and Subtraction

Originally written in November 2014 as 'The Number Bus'— Updated for clarity and reflection in 2026.

William has spent the last couple of weeks learning more about addition and subtraction as part of his home schooling. Early years maths can feel overwhelming for children, especially when they move from simple number recognition to written sums. Number bonds to ten and basic addition have made sense to him, especially when he can see patterns or match pairs. This builds on what he already knows about counting to ten and counting on from any number within that range.

As a teacher, I would expect most children entering Year 1 to have some grasp of these basics. They do not need to be perfect, but they need enough understanding for us to build on. Many parents search for practical maths games, hands‑on maths activities, like combining maths and cooking and games using money, or engaging online numeracy games. Sometimes, at this stage, worksheets alone rarely help a child understand how numbers work.

The challenge comes when children move from recognising numbers to applying them in a written sum. A simple calculation like “4 + 3 =” becomes harder when a child has to treat each number separately and then count on from the first number. This is a common difficulty in Key Stage 1 numeracy. If you have followed this far, you can see how something that looks simple to an adult becomes a multi‑step process for a five or six year old.

Subtraction adds another layer of difficulty. Children must count backwards from ten and then count back again from an individual number. This is especially tricky when the numbers do not form part of a familiar number bond pattern. Many children benefit from visual maths learning at this point because it gives them something concrete to hold on to.

Parents often ask how they can help their child understand both addition and subtraction. One of the most effective and child‑friendly methods is the Number Bus, a simple EYFS maths resource that turns learning into play.

[Image 2. A bright red Maths Bus template with the title “Welcome aboard the Maths Bus!” appears on the page. The bus has ten numbered windows from 1 to 10. To the right are cartoon portraits of children that can be cut out and placed in the windows. The layout is designed for early maths activities such as number recognition, counting, and number bonds.]

[image 3. A worksheet titled “Bus Counting” displays several red double‑decker buses with passengers in the windows. The sheet is designed for young learners to count the passengers on each bus. A small green label reads “ink saving Eco”, indicating a low‑ink printable version. The worksheet supports early years counting and number recognition.]

The idea is straightforward. A child only needs to understand how a bus works. People get on and off. Each person represents one number when placed in order. It becomes a practical maths game that supports number recognition, counting on, counting back, and early subtraction for beginners.

If a child is given a sum like “7 + 2 =”, they place seven people on the bus. The bus then “picks up” two more. While they focus on the numbers, they are also learning the concept of adding to a known amount. This is a visual and concrete maths tool that makes simple addition strategies easier to understand.

The same approach works for subtraction. The first number becomes the passengers already on the bus. The second number becomes the passengers who get off. The child can see the number reduce and understand subtraction as “taking away”. It supports early maths intervention because it breaks the process into clear steps.

From the child’s point of view, this feels like play rather than a worksheet. It becomes a fun maths activity for five year olds and a memorable way to learn number patterns. It also works well for home schooling maths ideas because it requires very little equipment.

William thrived with this. He loved every part of it. While he worked out each sum, he chatted to the passengers and created little stories. His arithmetic improved quickly because he was no longer stuck in the old pattern of counting on or back in a way that felt dull. His understanding of addition as “adding to” and subtraction as “taking away” grew almost overnight. 

[Image 4. A bright red Maths Bus template with the title “Welcome aboard the Maths Bus!” appears on the page after it's been printed and completed by William.. The bus has ten numbered windows from 1 to 10. To the right are cartoon portraits of children that can be cut out and placed in the windows. The layout is designed for early maths activities such as number recognition, counting and subtraction]

[Image 4. William sits at a small table using a Number Bus activity sheet. The sheet shows a red bus with numbers along the bottom, and the child is holding small character cards to place on the bus. Word cards such as “we”, “can”, “up”, and “William” are visible in the background. The scene shows a hands‑on early years maths activity focused on number recognition and counting.]

If your child is finding these concepts difficult, I recommend trying the Number Bus. You can download a free template from Twinkl. It is simple, visual, and one of the most practical maths resources we used in our early home education journey.

You can read Part 1, Part 2, Part 3, Part 4, Part 5, Part 6,  and Part 7 here.

2026 Reflection

This post shows a version of me who was still finding his feet as a home educator. I can see how much I relied on classroom habits and how much I wanted to get things “right”. The Number Bus was one of the first moments where I let go of the pressure and allowed learning to be playful. It reminds me how much William responded to anything that felt like a story or a game. By using the number bus method, it opened William up to other numeracy topics, like telling time, converting timeconverting time, and creating 10 minute lessons.

Looking back now, I can see how these early experiments shaped the way I teach all my children. The best learning moments have always come from creativity, not worksheets. If you want to see how this approach developed, please click here.