Number Sense: The Skill Behind Fast, Confident Math

By the Duck Math team ยท

Illustration for Number Sense: The Skill Behind Fast, Confident Math

Number sense is feeling comfortable with how numbers relate: that 7 is 3 away from 10, that 24 can be 6 ร— 4 or 12 + 12. Children with number sense calculate flexibly instead of memorising each fact on its own.

Number bonds to 10

Pairs that make 10 are the base of mental addition. If you know 7 + 3 = 10, you can do 7 + 5 by making a ten: 7 + 3 + 2 = 12.

7 + 3 = 10
A ten frame shows 7 counters and 3 empty spaces, so 7 + 3 = 10.

Place value

In 47, the 4 means four tens and the 7 means seven ones. Seeing 47 + 20 as "add two tens" gives 67 straight away.

Doubling and halving

Doubles are easy facts to hold on to, and they unlock near-doubles: 6 + 7 is 6 + 6 + 1 = 13.

Many names for one number

24 can be 20 + 4, 6 ร— 4, 30 โˆ’ 6 or 12 + 12. Practising this flexibility is exactly what Bubble Pop Math asks: pop every bubble that equals the target.

Questions

Is number sense the same as memorising facts?

No. Facts help, but number sense is knowing how numbers connect so that you can work out facts you have forgotten.

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