Find a Hidden Part of Five
Make a drawing of the whole before covering any marks.
About 12 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: Five counters are drawn.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
When a whole is known, the visible part can help you find a hidden part. Think about how many more would make the whole. The hidden amount is not a guess; visible and hidden parts must combine to the supplied total.
Make a drawing of the whole before covering any marks. Mark the visible part, then count the covered places. Explain how the visible and hidden parts together make the original group.
Draw the known whole first. The hidden amount is only the missing part, not the whole group. Use a blank circle for each hidden position so you can check the whole.
- Use a blank circle for each hidden position so you can check the whole.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Make a drawing of the whole before covering any marks.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Five counters are drawn. Two are shown and three are covered, so the hidden part is 3. Checking 2 + 3 = 5 restores the known whole. Saying five are hidden would incorrectly count the visible counters a second time. Draw the known whole first. The hidden amount is only the missing part, not the whole group. Use a blank circle for each hidden position so you can check the whole.
Check your reasoning
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Helpful tips
- Draw the known whole first.
- The hidden amount is only the missing part, not the whole group.
See the answer and explanation
4
Subtract the visible part from the known whole. The result is 4.
Take it further
Five marks have four visible. Expected: one hidden.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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Check the subject sources
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