Notice How Unit Size Changes the Count
Use the stated relationship between a long unit and a short unit.
About 15 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: One long tile equals two short tiles.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
The same object can have different measurement counts when the unit changes. Smaller units require more copies to span the same length. This does not mean the object grew. Keep the unit name with each count so two measurements are not confused.
Use the stated relationship between a long unit and a short unit. Replace each long unit with the given number of short units, then count the short units needed for the same strip.
Write the unit name next to every count. More smaller units do not mean the object became longer. Draw each long tile split into the stated number of equal short tiles.
- Draw each long tile split into the stated number of equal short tiles.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Use the stated relationship between a long unit and a short unit.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
One long tile equals two short tiles. A strip spanning 5 long tiles therefore spans 10 short tiles: two for each of five. The strip stays unchanged. Its measurements are 5 long-tile lengths or 10 short-tile lengths, not two different physical lengths. Write the unit name next to every count. More smaller units do not mean the object became longer. Draw each long tile split into the stated number of equal short tiles.
Check your reasoning
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Helpful tips
- Write the unit name next to every count.
- More smaller units do not mean the object became longer.
See the answer and explanation
6
Replace each long tile with two short tiles. The result is 6.
Take it further
One long tile equals three short tiles; four long tiles span 12 short tiles.
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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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