Measure with Equal Units and No Gaps
Use the supplied row of equal units to model the full strip.
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: A strip is exactly covered by 7 same-size tiles placed end to end.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
A length measurement counts equal-size units laid end to end. Gaps leave part of the object unmeasured, and overlaps count part of it twice. Start at one endpoint and stop at the other. The unit’s name is part of the reported measurement.
Use the supplied row of equal units to model the full strip. Count units rather than boundary marks. Report the count and unit name, checking that the row has neither gaps nor overlaps.
Count the intervals occupied by tiles. Boundary marks are not the same as length units. Sketch a strip subdivided into the stated number of equal adjoining units.
- Sketch a strip subdivided into the stated number of equal adjoining units.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Use the supplied row of equal units to model the full strip.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
A strip is exactly covered by 7 same-size tiles placed end to end. Its length is 7 tile-lengths. There are eight boundary positions, including both ends, but seven intervals; counting the boundaries would overstate the measurement. Count the intervals occupied by tiles. Boundary marks are not the same as length units. Sketch a strip subdivided into the stated number of equal adjoining units.
Check your reasoning
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Helpful tips
- Count the intervals occupied by tiles.
- Boundary marks are not the same as length units.
See the answer and explanation
6
Each tile contributes one repeated length unit. The result is 6.
Take it further
A strip covered by ten tiles measures 10 tile-lengths; explain why eleven edge marks do not mean length eleven.
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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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