Make More Than One Split of a Whole

Supplied materials

• Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
• Supplied worked-case record: Six marks split into 1 and 5.
• All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.

Learn the idea

A whole can have different pairs of parts. Moving one mark from one part to the other changes both parts but keeps the whole. A valid split uses every mark once; it does not lose a mark or count it twice.

Draw the whole, divide it into the stated first part and the remaining part, and count both. Move a mark across the divider and name the new pair. Check that both pairs still use the same whole.

Circle the first part before counting the rest. Do not change the whole while trying a new split. Draw a divider between the first part and the remaining marks.

1. Draw a divider between the first part and the remaining marks.
2. Follow the worked example. Point to each number or shape feature and say what it tells you.
3. Draw the whole, divide it into the stated first part and the remaining part, and count both.
4. Try the question and then the three practice questions. Check your answers and explain any change you make.

Check your reasoning

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Take it further

Show three splits of seven. Expected examples: 1+6, 2+5, and 3+4.

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