Order Three Lengths and Use a Reference
Write each supplied length with its object label.
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: Ribbon A spans 4 equal tiles, B spans 9, and C spans 6.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Three objects can be ordered from shortest to longest. A common reference can also compare objects that are not next to each other. If each spans a known number of equal units, compare those counts because the same unit is used for all.
Write each supplied length with its object label. Order the equal-unit counts, then name the object in the middle. Verify the middle is longer than the shortest and shorter than the longest.
Compare counts only when the unit size is the same. The middle length is not necessarily the object listed second. Draw three strips from one common start or mark them with one common unit.
- Draw three strips from one common start or mark them with one common unit.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Write each supplied length with its object label.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Ribbon A spans 4 equal tiles, B spans 9, and C spans 6. Order A, C, B because 4<6<9. C is the middle length. A common tile unit makes the comparison valid even when the ribbons are drawn on separate lines. Compare counts only when the unit size is the same. The middle length is not necessarily the object listed second. Draw three strips from one common start or mark them with one common unit.
Check your reasoning
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Helpful tips
- Compare counts only when the unit size is the same.
- The middle length is not necessarily the object listed second.
See the answer and explanation
C
3<5<8, so C is between A and B.
Take it further
Order lengths 7,3,5 equal tiles. Expected: 3,5,7.
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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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