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Counting forwards and backwards

Count forwards and backwards in steps of 3 from 0

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What a learner can do afterwards

  • Count 3, 6, 9, 12, 15 … up to at least 30
  • Count backwards in 3s from 30
  • Identify the next number in a sequence of multiples of 3

The lesson

You already know how to count by 2s. Counting by 3s works the same way, except you add 3 each time instead of 2. Start at 0: 0, 3, 6, 9, 12, and keep going. Every number you land on is called a multiple of three.

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Each hop lands on a multiple of three: 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Try it together

Zara stacks blocks in towers of three. She counts the towers: 3, 6, 9, 12. She has four towers, twelve blocks in all.

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Take away 3 each time: 30, 27, 24, 21, 18, then what comes next?
Good to know

To count backward by 3s, do the opposite: take away 3 each time instead of adding it. If you lose track, count forward by 3s until you reach your starting number, then say the numbers back in reverse.

Add 3 to count forward, take away 3 to count backward: 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

Watch it

Where it sits

Learn first

This opens up

Nothing builds on it yet.

Then practise

8 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.

Counting forwards and backwards · Mathematics, ages 6 to 7 · LightMySky