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Skill by skill

How to Teach Addition: A Step-by-Step Guide for Parents

A step-by-step plan to teach addition at home: counting on, number bonds to 10, make-ten, doubles and carrying, with fingers, Lego and quick games.

  • Ages 5–8
  • K–3rd grade
  • 10 min read

Quick answer

Teach addition in small steps and move on only when a step feels easy. Start by joining real objects and counting them all. Then count on from the bigger number (9 + 3: “nine… ten, eleven, twelve”). Next, learn the pairs that make 10 and use them to make ten (8 + 5 = 8 + 2 + 3 = 13), then doubles, and finally tens and ones. Objects first, then pictures, then written sums.

Key takeaways

  • Follow one order: count all → count on → number bonds to 10 → make ten → doubles → tens and ones → carrying.
  • Use objects, then pictures, then symbols: fingers and Lego first, drawings next, written sums last.
  • Teach your child to start from the bigger number: 2 + 9 is quicker as 9 + 2.
  • US standards expect children to know every sum of two one-digit numbers from memory by the end of 2nd grade.
  • A few minutes on most days, mostly games and real-life questions, is enough.

At what age do children learn addition?

Most children start adding in kindergarten (age 5–6) by joining small groups of objects and counting them. England's Year 1 is for ages 5–6, a year younger than US 1st grade, so the table compares by age.

Addition by age: US Common Core and England's national curriculum
AgeUS (Common Core)England (national curriculum)
5–6Kindergarten: add within 10 with objects or drawings; find the partner that makes 10; fluent within 5Year 1: number bonds within 20; add one- and two-digit numbers to 20, including 0
6–71st grade: add within 20 by counting on and making ten; fluent within 10; add ones or tens to a two-digit numberYear 2: facts to 20 fluently; add two two-digit numbers, and three one-digit numbers
7–82nd grade: all sums of two one-digit numbers from memory; fluent within 100; within 1,000 with modelsYear 3: written column addition, up to 3 digits
8–103rd–4th grade: fluent within 1,000, then the standard written method for larger numbersYear 4: column addition, up to 4 digits

These are end-of-year expectations, not deadlines. What matters is that each step is secure before the next one. For all topics, see math skills by age.

Step by step: from counting to carrying

Think of addition as a staircase. England's Department for Education (DfE) guidance stresses moving children beyond counting in ones to faster strategies, then to instant recall, before moving on to bigger numbers.

  1. Count all. Put 4 toy cars with 3 toy cars and count every car: 1, 2, 3… 7. Adding means joining groups.
  2. Count on. Say the first number, then count up: 4 + 3 is “four… five, six, seven”, with 3 fingers. Then start from the bigger number: 2 + 9 is easier as “nine… ten, eleven”.
  3. Number bonds to 10. The pairs that make 10: 1 + 9, 2 + 8, 3 + 7, 4 + 6 and 5 + 5. Hold up 10 fingers and fold down 3: 7 are still standing.
  4. Make ten. For 8 + 5, 8 needs 2 to make 10, so split the 5 into 2 and 3: 8 + 2 = 10, then 10 + 3 = 13.
  5. Doubles and near doubles. Doubles like 6 + 6 = 12 stick quickly, and 6 + 7 is just double 6 plus 1, so 13.
  6. Tens and ones. Add tens to tens and ones to ones: 34 + 25 is 50 + 9 = 59.
  7. Carrying (regrouping). When the ones reach 10 or more, swap 10 ones for 1 ten: in 47 + 25, 7 + 5 = 12 is 1 ten and 2 ones, so the answer is 72.
Example Worked examples to try together
  • Count on: 9 + 3 → 9… 10, 11, 12 → 12
  • Make ten: 8 + 5 = 8 + 2 + 3 = 10 + 3 = 13
  • Make ten: 7 + 6 = 7 + 3 + 3 = 10 + 3 = 13
  • Near double: 7 + 8 = 7 + 7 + 1 = 14 + 1 = 15
  • Tens and ones: 34 + 25 = 30 + 20 + 4 + 5 = 50 + 9 = 59
  • Carrying: 47 + 25 = 60 + 12 = 72

Tip The one rule of counting on

Say the first number, don't count it. For 6 + 3, your child says “six”, then counts 3 more: “seven, eight, nine”. Saying “six, seven, eight” counts the 6 twice. Let them tap their head for “six” and use fingers only for the 3.

Objects first, then pictures, then symbols

A sum like 7 + 5 = 12 makes far more sense after a child has done it with their hands. Teaching guides describe the same path: real objects, then drawings, then numbers and signs. The US What Works Clearinghouse recommends showing the objects or drawing next to the written sum.

  • Fingers: the original math tool. The Education Endowment Foundation (EEF), an English research charity, recommends encouraging them.
  • Lego or building blocks: snap 10 bricks into a tower to make “one ten”; towers and single bricks show any number up to 99.
  • Beans, pasta or coins: easy to count, group and hide under a cup.
  • A ten-frame drawn on paper: 2 rows of 5 boxes, one bean per box, top row first.
  • A floor number line: masking tape from 0 to 20 at equal steps. The EEF notes some evidence that moving along a physical number line may support learning.
Example One sum, three ways: 7 + 5
  • Objects: put 7 beans on a ten-frame, then add 5 more; 3 fill the frame and 2 go outside
  • Picture: draw a full frame (10) and 2 more dots
  • Symbols: 7 + 5 = 7 + 3 + 2 = 10 + 2 = 12

Tip When to put the objects away

When your child can say the answer before counting, switch to drawings. The EEF calls objects a scaffold to remove once a child manages without it, judged by understanding, not age. Bringing the beans back for a hard new step is normal.

Two-digit addition and carrying, made simple

Two-digit addition rests on one idea: a two-digit number is tens and ones, so 47 is 4 tens and 7 ones. Before any written method, build numbers with Lego towers of 10 (or bundles of 10 straws) plus loose pieces.

  1. Build both numbers: 47 is 4 towers and 7 single bricks; 25 is 2 towers and 5 single bricks.
  2. Add the ones: 7 + 5 = 12 single bricks.
  3. Spot the new ten: 10 of the 12 single bricks snap into a new tower, with 2 left over.
  4. Count the towers: 4 + 2 + 1 = 7 towers, which is 70, plus 2 single bricks: 72.
  5. Write the sum next to the bricks: 47 + 25 = 72.

Swapping 10 ones for 1 ten is called regrouping at school; many parents learned it as carrying. US children meet it in 1st grade (38 + 5), add fluently within 100 by the end of 2nd grade and use the standard written method fluently in 4th grade. In England, the formal column method comes in Year 3.

Example The column method, once the idea is clear
  • Ones: 7 + 5 = 12 → write 2, carry 1 ten
  • Tens: 4 + 2 + 1 = 7 → write 7
  • Answer: 47 + 25 = 72

Tip Estimate first

Before adding, ask: “About how much will it be?” 47 + 25 is roughly 50 + 25, so about 75. An answer like 612 or 62 then looks wrong straight away.

Common mistakes (and quick fixes)

  • Counting the first number twice. 5 + 3 becomes “5, 6, 7”, giving 7. Fix: say “five”, then count 3 jumps on the floor number line: 6, 7, 8.
  • Always starting with the first number. Counting on 9 from 2 is slow and error-prone. Fix: show with beans that 2 + 9 and 9 + 2 are the same, then start with the bigger pile.
  • Writing 612 for 47 + 25. The child writes the tens total (6) and the ones total (12) side by side. Fix: build it with Lego and swap 10 single bricks for a tower; the answer has 7 tens and 2 ones.
  • Forgetting the carried ten (62 instead of 72). Fix: estimate first and say the swap out loud: “12 ones is 1 ten and 2 ones.”
  • Adding ones to the tens. 34 + 5 becomes 84. Fix: ask “5 ones or 5 tens?” and put the 5 single bricks next to the 4 single bricks.
  • Reading = as “the answer is”. In 8 + 4 = □ + 5, many children write 12 in the box. Fix: read = as “is the same as” and check both sides with objects; the box is 7. Our guide to missing number problems shows how.

A 5-minute daily routine (and 3 games)

  1. Count on (1 minute): “Start at 17 and count on 4” (18, 19, 20, 21).
  2. Bond of the day (1 minute): “What goes with 6 to make 10?” Fingers up: “6 and 4 make 10.”
  3. One make-ten sum (2 minutes): 9 + 4 with beans on a ten-frame, then said aloud: 9 + 1 + 3 = 13.
  4. One real-life sum (1 minute): “There are 8 forks on the table and we need 5 more. How many will there be?” (13)
  5. Stop while it's fun: end with an easy question.

Hide and count

Ages
4–6
Time
5 min
You need
A cup and 10 to 20 beans, buttons or coins
  1. Count 5 beans into a pile together, then cover them with the cup.
  2. While your child watches, slide 3 more beans under the cup.
  3. Ask: “How many are hiding now?” Encourage counting on: “five… six, seven, eight.”
  4. Lift the cup and count to check, then swap roles.

Make 10 pairs

Ages
5–7
Time
10 min
You need
A deck of cards with the picture cards and 10s removed (ace = 1)
  1. Lay 12 cards face up in rows.
  2. Take turns finding two cards that make 10, such as 7 and 3, and say the sum out loud: “7 plus 3 is 10.”
  3. Refill the gaps from the deck. If no pair is left, add 4 more cards.
  4. When the deck runs out, whoever has the most pairs wins.

Dice race to 30

Ages
6–8
Time
10 min
You need
2 dice, a 0 to 30 number line on paper or on the floor, and a small toy for each player
  1. Roll both dice and add them, counting on from the bigger number.
  2. Move your toy that many steps and say the sum: “5 plus 4 is 9.”
  3. A double, such as 3 and 3, earns an extra roll.
  4. The first to reach 30 wins. Older children add the roll to their position: 17 + 8 = 25.

For more ideas, see our screen-free math games and the mental math strategies that come next.

When to talk to the teacher

Every child has stuck patches. After a few weeks of short, regular practice, a calm chat with the teacher is worth it if:

  • your 1st grader still counts every object from 1 and can't count on from a number;
  • near the end of 1st grade, sums such as 6 + 3 still take a long time;
  • in 2nd or 3rd grade, your child can't say how many tens there are in 47;
  • math time often ends in tears or refusal (see our guide to math anxiety).

Ask which strategies the class uses, such as number bonds, make-ten or number lines, and use the same words at home. One method is easier for a child than two.

Frequently asked questions

How do I teach my child to add?

Start with real objects: join two small groups and count them all. Then teach counting on from the bigger number, the pairs that make 10 and make-ten (8 + 5 = 8 + 2 + 3 = 13), and switch to written sums once objects and drawings make sense.

At what age should a child be able to add?

Most children add small numbers with objects in kindergarten (age 5–6) and add within 20 in 1st grade (age 6–7). US standards expect all sums of two one-digit numbers from memory by the end of 2nd grade.

Is it okay for my child to count on their fingers?

Yes. Fingers are a useful early math tool, and the Education Endowment Foundation recommends encouraging them. Over time, move from counting every finger to bonds and doubles, then to instant recall.

What are number bonds to 10?

Number bonds to 10 are the pairs of numbers that add up to 10: 0 + 10, 1 + 9, 2 + 8, 3 + 7, 4 + 6 and 5 + 5. Knowing them by heart makes make-ten, and later subtraction, much easier.

How do I explain carrying in addition?

Use Lego towers of 10 and single bricks. When the ones reach 10 or more, snap 10 into a new tower: in 47 + 25, 12 ones become 1 ten and 2 ones, so the answer is 72.

How much addition practice does a child need each day?

Five to ten minutes on most days is plenty, ideally as a game or a real-life question. Stopping while it's still fun keeps your child keen.

Sources

Written by the Matobur team at Edict Digital and checked against these sources:

  1. Common Core State Standards for Mathematics (Kindergarten to Grade 4) (opens in a new tab)National Governors Association Center for Best Practices and Council of Chief State School Officers
  2. National curriculum in England: mathematics programmes of study (opens in a new tab)UK Department for Education
  3. Mathematics guidance: key stages 1 and 2 (Teaching mathematics in primary schools) (opens in a new tab)UK Department for Education
  4. Improving Mathematics in the Early Years and Key Stage 1 (guidance report, 2020) (opens in a new tab)Education Endowment Foundation (archived by DERA, UCL Institute of Education)
  5. Improving Mathematics in Key Stages Two and Three (guidance report, 2017) (opens in a new tab)Education Endowment Foundation (archived by DERA, UCL Institute of Education)
  6. Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades (practice guide, 2021) (opens in a new tab)Institute of Education Sciences, What Works Clearinghouse (US Department of Education)