Keep a Count When Objects Move
Draw the supplied group, then redraw each object in a new position.
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: Seven dots close together are spread into a long row.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Moving objects can make a group look longer or more crowded. Its count stays the same if no objects enter or leave. A careful recount can test this idea. Equal counts do not require identical spacing or identical arrangements.
Draw the supplied group, then redraw each object in a new position. Match each old mark to one new mark. Explain why the quantity is unchanged when every object has one partner.
Match each original object to one new position. Longer spacing does not mean more objects. Connect one old position to one new position for each dot.
- Connect one old position to one new position for each dot.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Draw the supplied group, then redraw each object in a new position.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Seven dots close together are spread into a long row. Each original dot still has one matching dot, and none was added. The total remains 7. The row is longer, but length and number of dots are different attributes. Match each original object to one new position. Longer spacing does not mean more objects. Connect one old position to one new position for each dot.
Check your reasoning
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Helpful tips
- Match each original object to one new position.
- Longer spacing does not mean more objects.
See the answer and explanation
4
Every original dot is still present exactly once. The result is 4.
Take it further
Draw two arrangements of ten dots. Expected: both totals are 10.
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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
These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.