Math // Measurement

Comparing and ordering measurements

Compare and order lengths, mass, and capacity and record results using >, <, and =

Ages
6 to 7
Type
Method
Builds on
2 topics
Leads to
1 topic
Standards
1 code

Quick check

If the learner measures three pieces of string as 15 cm, 9 cm, and 22 cm, can they put them in order from shortest to longest — and write that using a < symbol?

Ask this to see whether the topic is secure.

Topic // Mastery

What mastery looks like

What a learner can do once this topic is secure.
  • Measure two objects and write 45cm > 32cm
  • Order three containers by capacity after measuring each
  • Use = when two measurements are the same

Topic // Map

Where this fits

What to learn first and what this topic opens up, with the reason for each link. Required links come first.
  • RequiredMust come first
  • HelpfulHelps, but not essential

Before this

2 topics
  • Choosing measurement unitsRequired

    Measurement // Ages 6 to 7

    Comparing and ordering measurements with symbols requires being able to measure in standard units

  • Comparing and ordering numbersHelpful

    Number Representation & Place Value // Ages 6 to 7

    Using >, <, = for measurements parallels using them for numbers

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Comparing and ordering measurements

Ages 6 to 7 // Method

Leads to

1 topic

Topic // Research-informed

Teaching notes

From the Marble Skill Taxonomy. These notes have not been validated in classrooms, so treat them as a starting point for your own judgement.

The approach

Children measure two or three objects in standard units, then compare and order the measured amounts and record using >, <, and =. The key demand beyond plain number comparison is that a measurement is a number WITH a unit: 1 m is longer than 50 cm even though 1 < 50, so the numbers can only be compared once they share a unit (or are shown on a common scale). Measure first, keep the unit travelling with the number, confront the bare-number trap deliberately, and use = only for genuinely equal measures.

Common misconceptions

  • Compares the bare numbers and ignores the units — '50 cm > 1 m because 50 is bigger than 1', or '300 g > 1 kg'.
  • Reverses the symbol — writes 32 > 45, pointing the 'mouth' the wrong way.
  • Orders by appearance rather than by the measured amounts.
  • Uses = loosely for measures that are merely close, not equal.

Useful representations

  • Two measured bars/ribbons side by side with the symbol between them (45 cm > 32 cm)
  • A common-scale bar chart that lets 1 m and 50 cm be compared visually
  • An ordering strip: three containers arranged by measured capacity
  • The >, <, = symbols read as 'greater than / less than / equal to'

Teaching practices

  • Measure first, then compare — the comparison is of the measured amounts, not of how the objects look.
  • Insist the unit travels with the number; make same-unit comparisons before ever mixing units.
  • Confront the bare-number trap deliberately (1 m vs 50 cm; 300 g vs 1 kg) so children see the number alone can mislead.
  • Connect >, <, = to the number-comparison children already do, reading the statement aloud ('45 centimetres is greater than 32 centimetres').
  • Order three measures by repeatedly picking the largest (or smallest), and use = only when the measures are genuinely equal.

Activities to try

  1. 1

    Measure, then place the symbol

    Why it works: A measurement is a number together with its unit; you must compare the actual amounts, not the bare digits. When units differ, convert to a shared unit first: 1 m equals 100 cm, which is more than 50 cm, so 1 m > 50 cm even though 1 is a smaller number than 50.

    1. Measure two objects in the same unit and write each measurement with its unit (e.g. a pencil case at 32 cm and a book at 45 cm).
    2. Place >, <, or = between the two readings so the statement is true, then read it aloud ('45 centimetres is greater than 32 centimetres').
    3. Check the symbol points its open side toward the larger amount.
    4. Repeat with a mixed-unit pair, such as a 1 m ribbon and a 50 cm ribbon: before deciding, bring both to the same unit or line them up on one common ruler/scale, then record the true comparison (1 m > 50 cm).
  2. 2

    Order three measured things

    Why it works: Ordering is done on the measured amounts, not on appearance, and = is reserved for truly equal measures.

    1. Measure three objects (e.g. three containers for capacity) and write the measured value, with its unit, next to each.
    2. Arrange them from least to most by repeatedly picking the smallest remaining measured amount (or from most to least by repeatedly picking the largest remaining measured amount).
    3. Include a case where how big the objects look disagrees with what they measure, and order by the measurements anyway.
    4. Use = only between two measures that are genuinely equal, not merely close.
  3. 3

    Reference card for the symbols

    Why it works: Secures the meaning and reading of the >, <, = notation as support for making one's own comparisons.

    1. Study a labelled example such as '45 cm > 32 cm' and say what >, <, and = mean ('greater than', 'less than', 'equal to').
    2. Describe why the open side of the symbol faces the larger amount.
    3. Explain in words why a mixed-unit statement like '1 m > 50 cm' is true even though 1 is smaller than 50 (because 1 m is 100 cm).

Topic // Standards

Curriculum standards

Codes for the curriculum statements this topic maps to. Each publisher owns its standard text.
The national curriculum in England: Key stages 1 and 2 framework document
Maths/Y2/M/2

Math // Measurement

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