Build and annotate the model
Represent metric conversions with decimal measurements and label the important parts, quantities or choices.
Learning goals
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
- Represent
- Reason
- Calculate
- Interpret
- 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 concept
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.
Worked examples
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.
Curriculum elaborations explicitly taught
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.
Common misconceptions
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.
Classroom activities
Compare and reason
Use the application model to compare two cases, explain the relationship and identify a likely error.
Transfer and verify
Apply the idea in an unfamiliar context and use a second method, evidence source or text feature to check it.
Revision Notes and quick mastery check
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.
Curriculum wording and references
Australian Curriculum v9.0
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
The Australian Curriculum code and wording are exact. International teachers can use the underlying mathematical concept while matching the lesson to their local grade or year outcomes.
Resources and next steps
Teacher Slides
Project the fixed, branded four-page teaching sequence.
Open Classroom ViewHomework
Use the printable activity for written practice.
Open HomeworkPractice and Test
Use supported Practice first, then the separate Test when ready.
Open PracticeOpen Test
🎥 Optional Video Lesson
The SkillrHub lesson remains the primary learning resource. This optional video reinforces the explanation; you can complete the lesson and practice without watching.
Before you watch:
- Pause after each worked example.
- Try the examples yourself.
- Return to the SkillrHub lesson before continuing.
Recommended: Introduction to the Metric System
Math Antics — Connect metric prefixes with conversions between everyday measurement units.
As you watch: What stays the same when a measurement changes from metres to centimetres?
Load video player Loads YouTube in this lesson. See the video notice below.
Try it: Convert 2.35 m to centimetres, 1.4 kg to grams and 750 mL to litres. Explain why the numbers change.
Video unavailable, inaccurate or unsuitable for this year? Report a video problem to SkillrHub by email. You can continue with the written lesson and practice resources.
About these videos
Videos are curated from trusted independent educational creators and played through YouTube. Rights remain with their respective owners. Inclusion does not imply that a creator or YouTube endorses SkillrHub.
YouTube’s terms and privacy policy apply to its player. Advertising, recommendations and external links may appear, and videos may change or become unavailable. SkillrHub’s written lessons and practice resources remain available separately.
To report a content, suitability or rights concern, email skillrhublearning@gmail.com with the lesson code and video link. Please do not include personal student information.
Curriculum equivalents: Victoria, NSW and international
Curriculum equivalents for Convert between common metric units of length, mass and capacity...
Mapped skill: 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
These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.
| Region | Curriculum framework | Closest level or code |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M6M01 · Year 6 |
| Victoria | Victorian Curriculum F–10 Version 2.0 — Mathematics | VC2M6M01 · Level 6 |
| New South Wales | NSW Mathematics K–10 Syllabus (2022) | MA3-3DS-02 · Stage 3 |
| United States (USA) | Common Core State Standards for Mathematics | Grade 6 |
| Canada (Ontario) | Ontario Curriculum — Mathematics | Grade 6 |
| United Kingdom (England) | National Curriculum in England — Mathematics | Year 7, Key Stage 3 |
| India | NCERT / CBSE — Mathematics | Class 6 |
Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.
Help improve SkillrHub
Questions or feedback?
Ask about this lesson, suggest an improvement or report an error. Facebook opens only when you choose an option below.
Topic reference: AC9M6M01 — Metric Conversions with Decimal Measurements
Privacy: Please don’t share personal student or school information. Younger students should ask a parent, guardian or teacher to post on their behalf.