Addition Strategies Kids Can Use (Beyond Counting on Fingers)

Adding isn't just about memorising facts. Children who understand strategies can work out sums flexibly, check their answers and build towards mental math. This guide walks through addition strategies in the order most children learn them, with games and printables for each.

Before addition: the foundations

Children need to be confident with:

• Counting objects accurately. See how to teach counting.
• Recognising numbers to 20.
• Understanding "more."

Strategy 1: Counting all (ages 4–5)

Count out both groups, push them together, and count everything. "3 apples and 2 apples: 1, 2, 3, 4, 5."

Use: real objects, fingers, counters.

Strategy 2: Counting on (ages 5–6)

Start with the bigger number and count on. "5 + 3: start at 5… 6, 7, 8."

Tip: put the bigger number first. 2 + 7 is easier as 7 + 2.

Games: number line hops, dice games where you count on.

Strategy 3: Doubles (ages 5–7)

Learn doubles: 1+1, 2+2, 3+3 up to 10+10. They're easy to remember and help with other facts.

Games: double dice rolls, mirror counting (put objects in front of a mirror).

Strategy 4: Near doubles (ages 6–7)

Use doubles to solve near doubles. "6 + 7 is 6 + 6 + 1 = 13."

Strategy 5: Making 10 (ages 6–7)

Learn the pairs that make 10: 1+9, 2+8, 3+7, 4+6, 5+5. Then use them to add. "8 + 5: 8 needs 2 to make 10, so 10 + 3 = 13."

Games: "Make 10" card games, tens frames, and 10-pin bowling with paper cups.

Strategy 6: Adding 10 and 9 (ages 6–8)

Adding 10 just changes the tens digit: 34 + 10 = 44. Adding 9 is adding 10 and taking 1: 34 + 9 = 43.

Strategy 7: Partitioning (ages 7–9)

Split numbers into tens and ones. "34 + 25: 30 + 20 = 50, 4 + 5 = 9, so 59."

Strategy 8: Column addition (ages 7–9)

Write numbers in columns and add ones first, then tens, carrying (regrouping) when needed. Use our column addition worksheets.

Tip: teach the "why": regrouping means swapping 10 ones for 1 ten.

Practice resources

• Addition worksheets: our addition worksheets range from picture sums to column addition with regrouping.
• Custom practice: create sheets with exactly the facts you need using the math worksheet maker.
• Mystery pictures: solve sums to reveal a picture with mystery picture worksheets.
• Word problems: apply strategies to real situations. See word problem strategies.

Addition games

1. Dice addition. Roll two dice and add.
2. Addition war. Each player flips two cards and adds. Biggest total wins.
3. Bowling. Knock down cups numbered 1–10 and add your score.
4. Shop play. Add up prices.
5. Domino addition. Add the two sides of a domino.
6. Race to 20. Roll a dice and add to your total. First to 20 wins.

Building fluency

Once strategies are understood, practise for speed and confidence: a few minutes a day with minute-math drills. See math fact fluency.

Ideas by age

Ages 4–5: counting all with objects, adding within 5.

Ages 5–6: counting on, doubles, adding within 10.

Ages 6–7: near doubles, making 10, adding within 20.

Ages 7–9: partitioning, column addition, adding 2- and 3-digit numbers.

Common mistakes to avoid

• Rushing to memorisation. Strategies first, then fluency.
• Skipping hands-on work. Objects help children understand.
• Only one strategy. Different sums suit different strategies.

Frequently asked questions

What's the first addition strategy children learn?

Counting all, then counting on.

When should children know addition facts to 20?

Many curricula expect fluency with facts within 20 by the end of first or second grade.

How do I help a child who uses fingers?

Fingers are a valid tool. Teach strategies like doubles and making 10 to build towards mental math.

How to talk through strategies

Asking children to explain their thinking builds understanding. Try:

• "How did you work that out?"
• "Can you show me with blocks?"
• "Is there another way to solve it?"
• "Which way was quicker? Why?"

For example, 7 + 8 can be solved in several ways:

• Doubles plus one: 7 + 7 = 14, plus 1 = 15.
• Doubles minus one: 8 + 8 = 16, minus 1 = 15.
• Making 10: 8 + 2 = 10, plus 5 = 15.

Seeing different strategies helps children choose the best one for each problem.

My child gets the right answer but can't explain how. Is that a problem?

Not necessarily, but explaining strengthens understanding. Model your own thinking out loud and encourage them to try.

How do I check that addition is really understood?

Ask them to write a story for a sum, or show it with objects. If they can do both, understanding is solid.

How can I make addition practice more fun?

Use dice, cards, board games and real-life problems. Short, playful practice works better than long worksheets.

When should children stop using objects for addition?

There's no rush. Children move away from objects naturally as strategies become secure. Bring objects back whenever a new idea, like regrouping, is introduced.