Year 1 Mathematics · AC9M1M02

Measuring Length with Informal Units

Length can be measured with informal units, but the units must be the same size and placed end-to-end without gaps or overlaps

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Learning goalsSay it simply

Length can be measured with informal units, but the units must be the same size and placed end-to-end without gaps or overlaps.

Learning routine: Choose unit → Start at end → No gaps → No overlaps → Count units

Success looks like

  • Use informal units
  • Keep units uniform
  • No gaps/overlaps
  • Measure end-to-end
  • Compare using same unit
Key conceptTeach from the board

Uniform units make the measurement fair

▭▭▭▭▭5 same unitsno gaps

Mixed-size units cannot give a reliable measure.

Measure from one end to the other

start at edgetouching unitscount all units

The final count tells how many informal units long the object is.

Explain your thinking: Say what each part of the model represents, then explain why the answer or conclusion follows.

Clean visual examplesOne-page board

Clean one-page examples

AC9M1M02 - Measuring Length with Informal Units
Example 1

▭▭▭▭▭ 5 same units no gaps

Example 2

start at edge touching units count all units

Example 3

Paperclip measure Measure a pencil with equal paperclips placed end-to-end. Model: clip clip clip

Example 4

Find the mistake Look for gaps, overlaps or different-sized units. Model: gap = not fair

Curriculum examplesCurriculum examples

These curriculum examples extend the central model into varied contexts. They are learning contexts, not extra definitions to memorise.

E1

using 2 different units; for example, pop sticks and pencils, to measure the length of an object such as a desk, and explaining why the number of units used may be different

Try and explain: The same strip measures six long blocks or twelve short blocks, with no gaps. Did the strip change length?

Answer and teaching point

No. Smaller units require more copies. The count depends on the unit as well as the object's length.

E2

comparing the length of 2 objects such as a desk and a bookshelf by laying multiple copies of a unit and counting to say which is longer and how much longer; explaining why they shouldn’t have gaps or overlaps between the units as this will change the length of the unit

Try and explain: A mat measures eight identical blocks and a tray measures five. How much longer is the mat?

Answer and teaching point

Three blocks longer: 8 − 5 = 3. Both measurements must use the same-sized blocks placed end-to-end.

E3

measuring the distance between 2 locations using footsteps, comparing the results and explaining why there may be different results; for example, referring to the different length of footsteps as using different units

Try and explain: Two children count different numbers of footsteps over the same path. Give a possible reason and a better comparison method.

Answer and teaching point

Their steps may differ in length. Use copies of one fixed unit, such as the same measuring strip, for a more consistent comparison.

E4

measuring and comparing the length of objects using blocks; for example, comparing the height of 2 toys by stacking blocks one on top of the other and counting how many it takes to reach the height of each object to decide which is taller

Try and explain: One toy reaches six stacked blocks and another reaches four. Which is taller, and by how much?

Answer and teaching point

The first is two blocks taller, provided the blocks are identical and both stacks start at the same level.

A measurement needs equal units

Measure length with equal informal units placed end-to-end.

Worked example

A strip is covered exactly by 6 equal cubes in a straight row. How long is it?

  1. Line up the first cube with one end of the strip.
  2. Check that every cube is the same size and touches the next without a gap or overlap.
  3. Count six cubes, so the strip is six cubes long. Name the unit with the number.

Watch for this mistake: Six large units and six small units do not show the same length. Counts can be compared directly only when the units match.

Try it, then explain

  1. A child leaves spaces between five cubes while measuring a pencil. What must be fixed?

    Hint

    Check the joins between the units.

    Answer and explanation

    Move equal cubes end-to-end without gaps, align the start, and measure again.

  2. The same ribbon measures 8 small blocks or 4 longer blocks. Must one measurement be wrong?

    Hint

    Consider the size of the units.

    Answer and explanation

    No. Longer units need fewer repetitions to cover the same length.

Questions and answersWith answers

Key idea: Length can be measured with informal units, but the units must be the same size and placed end-to-end without gaps or overlaps.

Remember

  • Use informal units
  • Keep units uniform
  • No gaps/overlaps
  • Measure end-to-end
  • Compare using same unit

Quick questions

  • Why must units be the same size?
  • What happens if there are gaps?
  • Measure an object with paperclips.
  • Why use the same unit when comparing?

Return to the concept model if an answer is uncertain. Use the model to explain, not just to guess.

Practice and reviewReady for practice
  • Gaps between units — Units must touch end-to-end.
  • Overlapping units — Do not cover the same length twice.
  • Different-sized units — Use uniform units so the count is meaningful.
Curriculum alignmentStart here

Length can be measured with informal units, but the units must be the same size and placed end-to-end without gaps or overlaps.

Learning routine: Choose unit → Start at end → No gaps → No overlaps → Count units

Success looks like

  • Use informal units
  • Keep units uniform
  • No gaps/overlaps
  • Measure end-to-end
  • Compare using same unit

AC9M1M02: measure the length of shapes and objects using informal units, recognising that units need to be uniform and used end-to-end

Australian Curriculum Version 9.0

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