Year 6 Mathematics · AC9M6M01

Metric Conversions with Decimal Measurements

Choose units, convert by place value and interpret precision

Ready to project and teach

Learning goalsSay it simply

Learning goal

Students connect metric prefixes and powers of ten, convert without changing the measured quantity and choose a decimal representation appropriate to the context and instrument precision.

Success criteria

  • I can represent or identify the concept.
  • I can explain the underlying relationship.
  • I can select an appropriate strategy or feature.
  • I can apply it in a new context.
  • I can justify and verify the response.

Teaching routine

  1. Represent
  2. Reason
  3. Calculate
  4. Interpret
  5. Verify
Curriculum focus: convert between common metric units of length, mass and capacity; choose and use decimal representations of metric measurements relevant to the context of a problem
Key conceptTeach from the board

Convert across related metric units

Use the visual model first. Ask students to identify the quantities, structure or conditions before calculating or explaining.

quantitylarger unitsmaller unitlength2.375 m2 375 mmmass3.48 kg3 480 gcapacity1.625 L1 625 mLlength0.045 km45 m

Multiplying or dividing the numeral compensates for changing unit size. A smaller unit needs a larger numeral for the same measurement.

Choose useful decimal precision

Connect the central relationship to a new context, then verify the conclusion with a second representation, estimate, inverse operation or reasonableness check.

road distance2.35 km more useful than 2 350 m
object thickness4.6 mm more useful than 0.0046 m
medicine volumemL and instrument precision matter
shipping masskg or tonnes based on scale

Do not report more decimal places than the instrument supports. Preserve exact conversions before rounding for presentation.

Clean visual examplesOne-page board

Clean one-page examples

AC9M6M01 - Metric Conversions with Decimal Measurements
Example 1

quantity larger unit smaller unit length 2.375 m 2 375 mm mass 3.48 kg 3 480 g capacity 1.625 L 1 625 mL length 0.045 km 45 m

Example 2

road distance 2.35 km more useful than 2 350 m

Example 3

: recognising the significance of the prefixes in units of measurement

Example 4

: identifying and using the correct operations when converting between units including millimetres, centimetres, metres, kilometres, milligrams, grams, kilograms, tonnes, millilitres, litres, kilolitres and megalitres

Curriculum examplesCopied content

AC9M6M01: convert between common metric units of length, mass and capacity; choose and use decimal representations of metric measurements relevant to the context of a problem

  • E1: recognising the significance of the prefixes in units of measurement
  • E2: identifying and using the correct operations when converting between units including millimetres, centimetres, metres, kilometres, milligrams, grams, kilograms, tonnes, millilitres, litres, kilolitres and megalitres
  • E3: recognising the equivalence of measurements, such as 1.25 metres is the same as 125 centimetres

Use the central and application models above to connect each elaboration to the same underlying concept.

Questions and answersWith answers

Check understanding

  • Convert 2.375 m to mm.
  • Convert 3.48 kg to g.
  • Choose a unit for thickness.
  • Explain conversion direction.
  • State precision limit.

Evidence of mastery

  • Represent or identify the concept
  • Explain the underlying relationship
  • Select an appropriate strategy or feature
  • Apply it in a new context
  • Justify and verify the response

Decision: continue when students can explain the model, apply it to a new example and justify their check. Otherwise return to the central model and reduce the numerical or representational load.

Practice and reviewReady for practice
Numeral changes in the wrong directionSmaller units produce larger numerals.
Quantity and unit both changed inconsistentlyUse a conversion relationship.
Rounding before conversionKeep exact value until final presentation.
False precision addedMatch instrument capability.
Curriculum alignmentStart here

Learning goal

Students connect metric prefixes and powers of ten, convert without changing the measured quantity and choose a decimal representation appropriate to the context and instrument precision.

Success criteria

  • I can represent or identify the concept.
  • I can explain the underlying relationship.
  • I can select an appropriate strategy or feature.
  • I can apply it in a new context.
  • I can justify and verify the response.

Teaching routine

  1. Represent
  2. Reason
  3. Calculate
  4. Interpret
  5. Verify
Curriculum focus: convert between common metric units of length, mass and capacity; choose and use decimal representations of metric measurements relevant to the context of a problem
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