
Addition for Kids 5: Using Known Intelligent Facts – KS1 & KS2
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Addition for Kids 5: When children reach the age of five, they stand at an exciting threshold in their education. Addition becomes one of the first mathematical operations they encounter, and it forms the foundation for all future maths learning. Whether your child is in Reception or Year 1, understanding how addition works at this age—and knowing how to support it effectively—makes all the difference between confidence and confusion in the classroom.
At five years old, children are naturally curious about numbers. They’ve likely been counting for some time, perhaps even recognising written numerals. But addition asks them to take a new step: combining quantities, understanding that two groups can become one larger group, and eventually representing these ideas with symbols like + and =. This transition from counting individual objects to understanding how numbers relate to each other is both challenging and thrilling for young learners.
The UK National Curriculum recognises this developmental stage carefully. Reception children work towards the Early Learning Goal for number, which includes adding two single-digit numbers. By Year 1, children are expected to add one-digit and two-digit numbers to 20, solve missing number problems, and begin to understand the relationship between addition and subtraction. These aren’t arbitrary targets—they’re based on decades of research into how children’s number sense develops naturally.
This guide explains exactly what addition looks like for five-year-olds, how it’s taught in UK schools, and the practical ways you can support your child’s learning at home. We’ll explore the Concrete, Pictorial, Abstract (CPA) approach used in classrooms across Britain, share activities that make maths meaningful, and address common challenges parents notice. LearningMole provides curriculum-aligned educational videos and teaching resources that bring these concepts to life, helping children see maths as something exciting rather than intimidating.
What is Addition at Age 5?

Additionally, at age five, you understand that combining two groups of objects creates a larger group. The total number of objects is called the sum. For young children, this is much more than memorising that 2 + 3 = 5—it’s about grasping the fundamental idea that quantities can be joined together.
At this stage, children work with small numbers, typically within 10 for Reception and up to 20 for Year 1. They learn that addition involves “putting together” or “adding more.” The language teachers and parents use matters enormously: phrases like “altogether,” “in total,” “combined,” and “added” help children connect the mathematical concept to everyday experiences.
Five-year-olds often begin by physically counting all the objects in front of them. If they have 3 toy cars and you give them 2 more, they’ll count each car individually: 1, 2, 3, 4, 5. This “counting all” strategy is completely normal and represents a solid understanding. Over time, with practice and support, children develop the more efficient “counting on” strategy, where they start with the larger number (3) and count on from there: “3… 4, 5.”
Before children can add confidently, they need subitising skills—the ability to recognise small quantities without counting. When you roll a dice and immediately know it shows 4 dots, that’s subitising. This skill is the foundation for quick mental addition, because children who can instantly recognise 3 and 2 can more easily see that they make 5.
Addition in the UK National Curriculum: What to Expect

The UK National Curriculum sets clear expectations for addition at different stages. These milestones help teachers and parents understand what children should be working towards and when.
Reception (Early Years Foundation Stage)
In Reception, children work towards the Early Learning Goal (ELG) for Number. By the end of the Reception year, children should be able to:
- Have a deep understanding of numbers to 10, including the composition of each number
- Subitise (recognise quantities without counting) up to 5
- Automatically recall number bonds up to 5 (such as 3 + 2 = 5) and some number bonds to 10
- Count, read, write, and represent numbers to 10 and beyond
- Solve simple addition problems using concrete objects
At this stage, the focus is on practical, hands-on experiences. Children might add toy animals, counters, or fruit. The formal symbols (+ and =) are introduced gently, but understanding comes first.
Year 1 (Key Stage 1)
Year 1 builds systematically on Reception foundations. By the end of Year 1, children should be able to:
- Read, write, and interpret mathematical statements involving addition (+) and equals (=) signs
- Add one-digit and two-digit numbers to 20, including zero
- Solve one-step problems involving addition using concrete objects, pictorial representations, and missing number problems
- Represent and use number bonds and related subtraction facts within 20
The statutory requirements also include memorising number bonds to 10 and 20. These are pairs of numbers that add together to make 10 (such as 7 + 3 or 6 + 4) or 20 (such as 13 + 7 or 15 + 5). Knowing these automatically makes all other additions much easier.
Year 1 children also begin working with missing number problems, such as 3 + ? = 7 or ? + 4 = 9. These develop algebraic thinking from a young age and help children understand that addition can be reversed.
The CPA Approach: How Children Learn to Master Addition

The Concrete, Pictorial, Abstract (CPA) approach is the gold standard for teaching maths in UK primary schools. Developed by Jerome Bruner and refined through the Singapore Maths approach, CPA recognises that young children need to physically experience maths before they can work with abstract symbols.
This approach matters because five-year-olds are still developing abstract thinking skills. Jumping straight to written number sentences (3 + 2 = 5) without the groundwork often leads to confusion and anxiety. CPA builds understanding in three progressive stages.
Concrete: Using Manipulatives (Objects)
The concrete stage involves physical objects that children can touch, move, and manipulate. These “manipulatives” might include counters, cubes, toy animals, pasta shapes, buttons, or beads. The key is that children can physically move objects together to see addition happening.
When teaching 4 + 3, a child would take 4 cubes and 3 cubes, push them together, then count to find there are 7 cubes altogether. This physical action cements the concept that addition means combining groups.
Different manipulatives offer different benefits. Counters are simple and clear. Ten-frames (grids with 10 spaces) help children see numbers in relation to 10, which is essential for mental maths. Numicon shapes show numbers as patterns, making them instantly recognisable. Bead strings help with counting on.
Children should spend considerable time at the concrete stage before moving on. Rushing this process undermines future understanding. If a child seems to grasp addition quickly with objects, extend the learning by trying different manipulatives, larger numbers within their range, or word problems that require them to decide what operation to use.
Pictorial: Part-Whole Models and Ten-Frames
Once children are confident with physical objects, they move to pictures and diagrams. These visual representations bridge the gap between concrete and abstract thinking. Children can still “see” the maths, but they’re no longer physically moving objects.
Part-whole models are particularly useful for addition. These show two “parts” combining into one “whole.” For 5 + 3, you might draw two circles containing 5 dots and 3 dots, with an arrow showing they join to make 8. This representation makes the structure of addition visible.
Ten-frames are powerful visual tools at this stage. A ten-frame is a 2 × 5 grid (two rows of five squares). Children fill in the squares to represent numbers. For 6 + 3, they’d fill 6 squares, then add 3 more, seeing immediately that they’ve filled 9 squares total. Ten-frames help children see numbers in relation to 5 and 10, making mental calculations faster.
Bar models show addition as two bars sitting side-by-side, with a longer bar underneath showing the total. This representation is used throughout primary maths and helps children visualise word problems.
Number lines are another key pictorial tool. To show 4 + 3, children start at 4 on the number line and make 3 jumps forward, landing on 7. This supports the “counting on” strategy and connects addition to the idea of moving along a number sequence.
Abstract: Writing Number Sentences
The abstract stage involves working with numbers and symbols alone: 3 + 2 = 5. This is the stage many adults think of as “doing maths,” but it’s actually the final stage of a long learning process.
By the time children reach this stage, they should understand what the symbols mean. The + sign means “combine” or “add together.” The = sign means “has the same value as” or “makes” (not just “the answer is”). Children need to know that 5 = 3 + 2 is just as correct as 3 + 2 = 5, because the equals sign shows equivalence.
At age five, most written work involves filling in missing numbers or solving simple equations. Children write number sentences to match stories: “I had 5 apples and picked 3 more. 5 + 3 = 8.”
Even when working abstractly, children should always be able to go back to concrete or pictorial representations if they’re unsure. A child who can’t remember 7 + 4 should know they can draw it, use fingers, or get out some cubes. These aren’t “crutches”—they’re thinking tools that support mathematical reasoning.
“Children learn maths best when they can see how it connects to their own lives. Abstract concepts become concrete when we show rather than just tell.” — Michelle Connolly, Founder of LearningMole and former teacher with over 15 years of classroom experience.
Five Practical Addition Activities for Home and School

Learning addition doesn’t require expensive resources or special equipment. The most powerful activities use everyday objects and situations, helping children see maths as part of their world.
1. The 10-Frame Snack Time
Create a simple ten-frame using an egg carton (cut down to 10 sections) or draw a 2 × 5 grid on paper. At snack time, give your child small items like raisins, Cheerios, or grapes. Ask them to put different numbers in the frame: “Show me 6.” Then add more: “Now add 3 more. How many altogether?”
This activity combines snack time with maths, uses the powerful ten-frame visual, and lets children eat their manipulatives afterwards. The ten-frame structure helps children see when they’re close to 10, building number sense naturally.
2. The Toy Car Garage
Use toy cars and a “garage” (a shoe box works perfectly). Say: “You have 4 cars in the garage. 3 more cars arrive. How many cars are in the garage now?” Let your child physically drive the cars into the garage, counting as they go.
Once they’ve solved it with objects, ask them to draw the problem. Can they draw the garage with the cars? Finally, write the number sentence together: 4 + 3 = 7. This single activity moves through all three CPA stages.
3. Mathematical Talk During Daily Routines
Turn everyday moments into maths opportunities by asking addition questions naturally. “You’ve eaten 3 strawberries. If you eat 2 more, how many will you have eaten?” or “We have 5 plates on the table and need 3 more. How many is that altogether?”
The key is to make these genuine questions, not tests. If your child isn’t sure, work it out together using fingers, objects, or pictures. The conversation matters more than getting the “right” answer quickly.
4. Number Bonds Card Games
Create simple cards with addition problems on one side and answers on the reverse. Start with number bonds to 5, then progress to 10. Play matching games, snap, or pairs. Make it fun rather than a drill.
Alternatively, use standard playing cards. Turn over two cards and add them together. First to say the sum keeps the pair. This builds speed with addition facts through playful competition.
5. The Part-Whole Box
Get a small box or container and some objects (buttons, counters, small toys). Show your child the total number: “Look, I have 7 buttons.” Then hide some in the box: “I’ve put 3 in the box.” Ask: “How many are outside the box?”
This activity builds understanding of part-whole relationships—the idea that a whole number can be split into parts that add back together. It’s particularly good for developing number bonds and algebraic thinking.
For all these activities, ask questions that deepen thinking: “How did you work that out?” “Can you show me another way?” “What if we started with more?” These questions turn activities into genuine mathematical conversations.
Troubleshooting: What to Do if Your Child is Struggling

Not every child finds addition straightforward immediately. If your child is struggling, it’s important to identify where the difficulty lies and provide the right support.
Counting All vs Counting On
Many five-year-olds instinctively use “counting all”—they count every object from 1 when adding. For 5 + 2, they’ll count 1, 2, 3, 4, 5, 6, 7 rather than starting at 5 and counting on two more.
Counting all is a perfectly valid strategy and shows good understanding. Counting on is more efficient and should develop naturally with practice. To support this transition:
- Use a number line and physically show the “jump” from 5 to 7
- Start with the larger number: “We already have 5, so let’s count on from there: 5… 6, 7”
- Use ten-frames so children can “see” 5 and then count on the extra amount
- Practise with songs and rhymes that involve counting on
Never make a child feel they’re “wrong” for counting all—it’s a developmental stage. With time and gentle guidance, counting on will emerge.
Difficulty with Number Bonds
Number bonds (pairs of numbers that make 10, like 7 + 3 or 6 + 4) are essential for mental maths. If your child struggles to remember these:
- Make it physical: “Show me 7 fingers. How many more to make 10?”
- Use ten-frames consistently so they see the patterns visually
- Practise the same number bonds repeatedly rather than mixing them all together
- Connect to real objects: “You need 10 sweets. You have 6. How many more?”
- Remember that automatic recall takes time—don’t expect instant memorisation
Using Fingers for Addition
Many parents worry when their five-year-old still counts on their fingers. Don’t. Using fingers is a normal, healthy strategy for young children. Fingers are always available, reliable, and provide one-to-one correspondence (each finger represents exactly one number).
Research shows that finger use in early childhood actually predicts later mathematical success. Finger gnosia (awareness of your fingers) and number sense are neurologically connected. Children should absolutely be allowed to use their fingers for addition.
What matters is that finger use becomes more sophisticated over time. Initially, children might hold up all their fingers and count them. Later, they hold up 3 fingers and count on from there. Eventually, they may not need fingers at all—but this development shouldn’t be rushed.
When Addition Doesn’t Make Sense
If your child seems completely lost with addition, go right back to basics:
- Check they can count reliably to 10, then to 20
- Verify they understand “more” and “altogether”
- Use very small numbers (adding within 5) until confidence builds
- Spend more time with concrete objects before moving to pictures or numbers
- Make sure they understand that numbers represent quantities, not just words
Sometimes, a child who seems to struggle with addition actually has gaps in earlier number knowledge. Taking time to strengthen counting and quantity recognition will help addition make sense.
“Every child develops number sense at a different pace, and that’s absolutely fine. What matters is meeting each child where they are and building from there with patience and encouragement.” — Michelle Connolly, Founder of LearningMole and former teacher with over 15 years of classroom experience.
Teaching Resources and Support

Quality teaching resources make addition clearer, more engaging, and easier to understand. LearningMole offers curriculum-aligned educational videos and teaching materials designed specifically for children aged 5-11.
Classroom Resources
For teachers planning addition lessons, LearningMole provides video resources that demonstrate addition concepts using visual representations and real-world contexts. Our educational videos explain addition using the CPA approach, showing children concrete examples before moving to abstract symbols.
These videos work well as lesson introductions, helping children understand what they’re about to learn. They’re also useful for revision or for children who need to see concepts explained differently. All our resources align with UK National Curriculum objectives for Reception and Year 1.
Teachers can use LearningMole videos to:
- Introduce new addition concepts with clear visual demonstrations
- Reinforce learning after hands-on activities
- Support children who’ve been absent or need extra explanation
- Provide consistent explanations that parents can access at home
Supporting Learning at Home
Parents can use LearningMole’s resources to support their child’s classroom learning without becoming teachers themselves. Our videos explain concepts in child-friendly language, using engaging animations that hold attention while teaching effectively.
Home learning works best when it:
- Follows the school’s approach (the CPA method is used in most UK schools)
- Stays playful rather than pressured
- Uses everyday objects and situations
- Celebrates effort and thinking, not just correct answers
LearningMole’s addition videos can be watched together, with parents pausing to try activities or discuss ideas. This shared learning experience helps parents understand how maths is taught today, which often differs from their own childhood experience.
Why Video Resources Work
Video allows children to see mathematical concepts in action. Addition becomes something happening on screen—objects moving together, numbers appearing, connections forming—rather than static symbols on a page.
“Children learn best when they can see concepts in action. Video allows us to show what textbooks can only describe, making abstract ideas concrete and memorable.” — Michelle Connolly, Founder of LearningMole and former teacher with over 15 years of classroom experience.
Video resources also offer flexibility. They can be paused, rewound, and watched multiple times until understanding develops. Children can work at their own pace, which is particularly helpful for those who need more time to process new ideas.
LearningMole is a UK educational platform providing curriculum-aligned teaching resources for primary schools and home learners. With over 3,300 free educational resources, LearningMole serves teachers and parents across Britain and beyond, helping children develop strong mathematical foundations.
Frequently Asked Questions

How do I explain addition to a 5-year-old?
Start with physical objects that they can touch and move. Show them two groups of items—perhaps 3 toy cars and 2 toy cars—and let them push the groups together. Count the total together. Use language like “altogether,” “in total,” and “combined.” Once they understand the concept with objects, introduce the symbols (+ and =) to represent what they’ve been doing physically. The key is making it concrete before moving to abstract numbers.
What is a ten-frame?
A ten-frame is a simple 2 × 5 grid (two rows of five squares) used to help children visualise numbers within 10. Children fill in the squares with counters or drawings to represent numbers. Ten-frames help children see numbers in relation to 5 and 10, which supports mental maths. For example, 7 in a ten-frame clearly shows 5 (one full row) plus 2 more. This visual structure makes addition faster and easier, especially when working with number bonds to 10.
Should my 5-year-old be using their fingers to add?
Yes, absolutely. Using fingers to add is a normal, healthy strategy for five-year-olds and shows good mathematical thinking. Fingers provide a reliable, always-available way to keep track of quantities. Research actually shows that finger use in early childhood predicts later mathematical success. What changes over time is how children use their fingers—moving from counting all fingers to counting on from a starting number. Don’t discourage finger use; it’s an important developmental stage that children naturally move beyond when they’re ready.
What are number bonds?
Number bonds are pairs of numbers that combine to make a target number. The most important number bonds at age 5 are number bonds to 10: pairs like 7 + 3, 6 + 4, 8 + 2, and so on. Children who know these automatically find all other additions much easier because our number system is based on 10. Number bonds are usually taught using concrete objects and ten-frames first, then practised until they’re memorised. They form the foundation for mental calculation strategies throughout primary maths.
How do I teach “counting on”?
Counting on means starting with one number and counting forward from there, rather than counting from 1. To teach this, use a number line and physically show the “jump” forward. For 5 + 3, put your finger on 5 and say “5… 6, 7, 8” as you jump three spaces. Start with the larger number when adding, as it’s more efficient. Ten-frames also help: if you can see 5, you only need to count the additional 3. With practice and gentle guidance, most children naturally develop counting on as they realise it’s faster than counting all.
Where can I find free addition resources for Year 1?
LearningMole provides over 3,300 free educational resources aligned with the UK National Curriculum, including materials for teaching addition to Reception and Year 1 children. Our resources include educational videos, teaching guides, and practical activity suggestions. Visit LearningMole to explore our teaching resources, or watch free videos on our YouTube channel for visual demonstrations of addition concepts.
What’s the difference between Reception and Year 1 addition?
Reception focuses on developing number sense and understanding that addition means combining groups. Children work with numbers to 10 and begin to learn number bonds to 5. Year 1 builds on this foundation, expecting children to add numbers to 20, solve missing number problems (like 3 + ? = 7), and memorise number bonds to 10 and 20. Year 1 also introduces more formal recording of addition using number sentences and introduces the relationship between addition and subtraction.
How can I make addition fun for my child?
Turn addition into games rather than drills. Use everyday situations: “We have 4 forks and need 3 more. How many is that?” Play adding games with toy cars, dolls, or building blocks. Use food during meal preparation: “If we put 3 tomatoes and 2 cucumbers in the salad, how many vegetables are that?” Create simple matching games with addition cards. The key is keeping it playful, praising effort and thinking, and never making it feel like pressure. Children learn best when they’re engaged and enjoying themselves.
Explore Addition Resources from LearningMole
LearningMole provides curriculum-aligned addition videos and teaching materials designed by experienced educators to make maths engaging and accessible for children aged 5-11. Whether you’re a teacher planning lessons or a parent supporting home learning, our resources help children build strong number foundations.
Have you found this interesting? Why not check our articles about addition for kids: Addition Story Problems, Addition Mental Math Strategies, Practical and Genius Ways to Teach Addition, and Addition for Kids.



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