Compare Measurement Counts Using a Known Unit Relation
Use the supplied exact relation between long and short units.
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 four 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
Different units produce different counts for the same length. Use a stated conversion relationship before comparing two measurements. A large count in tiny units may describe the same or a smaller distance than a small count in longer units. Unit names cannot be ignored.
Use the supplied exact relation between long and short units. Convert the long-unit count into short units by multiplying. Compare counts only after both amounts use the same unit.
Convert to one common unit before comparing. A smaller written count may describe a longer unit. Draw one long-unit bar subdivided into its stated number of short units.
- Draw one long-unit bar subdivided into its stated number of short units.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Use the supplied exact relation between long and short units.
- 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 four short tiles. A ribbon of 6 long tiles spans 24 short tiles. A 20-short-tile ribbon is shorter. Six and twenty alone are not comparable counts because they refer to different unit sizes. Convert to one common unit before comparing. A smaller written count may describe a longer unit. Draw one long-unit bar subdivided into its stated number of short units.
Check your reasoning
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Helpful tips
- Convert to one common unit before comparing.
- A smaller written count may describe a longer unit.
See the answer and explanation
12
Use three short units for every long unit. The result is 12.
Take it further
One long unit equals five short units; seven long units equal 35 short units.
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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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