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Addition and subtraction strategies

Use counting on and counting back as strategies for addition and subtraction

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What a learner can do afterwards

  • Add 8 + 3 by starting at 8 and counting on 3 (9, 10, 11)
  • Subtract 12 − 3 by counting back 3 from 12 (11, 10, 9)
  • Explain that counting on is a way to add

1 · Read

You already know how to add and take away. Counting on and counting back work for both. Instead of starting from 1 every time, you start at one number and hop forward or backward.

0123456789101112+3
To add 8 + 3, start at 8 and count on three hops: 9, 10, 11. So 8 + 3 = 11.
Try it together

Leo has 12 stickers and gives away 3. He starts at 12 and counts back three hops: 11, 10, 9. Leo has 9 stickers left.

0123456789101112-3
Good to know

When you add, start at the bigger number. That means fewer hops to count. Say each number out loud as you hop so you do not lose your place.

Counting on adds by hopping forward, and counting back subtracts by hopping backward, from one starting number.

More to read

Add and subtract within 100: FAQ

Counting on is a way to add. For 8 + 3, start at 8. Then count 9, 10, 11. You counted 3 steps. You land on 11. Start with the bigger number to keep the count short.

3.1: Topic A- Subtraction

Counting back is a way to subtract. For 12 - 3, start at 12. Then count 11, 10, 9. You counted 3 steps back. You land on 9. Touch each number as you step back so you do not slip.

Properties of addition

Choosing a strategy matters. Counting on suits small adds. Making 10 suits numbers near 10. Splitting tens suits two digit sums. Try more than one way and pick the quick one. Explain why your pick works.

Explore more

2 · Watch

به انگلیسی

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

17 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Addition and subtraction strategies · Mathematics, ages 6 to 7 · LightMySky