AC9M2M02 • Year 2 Maths

Common uses and represent halves, quarters and eighths in relation...: Year 2 Maths topic guide

identify common uses and represent halves, quarters and eighths in relation to shapes, objects and events

What students learn in AC9M2M02

This unit helps students build a clear, usable understanding of Common uses and represent halves, quarters and eighths in relation.... The goal is not to memorise one answer pattern. Students should be able to explain the idea, recognise it in a new example and apply it in a short practice or worksheet task.

  • Start with the main idea: identify common uses and represent halves, quarters and eighths in relation to shapes, objects and events.
  • Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
  • demonstrating how food items can be cut in halves, quarters or eighths; for example, cutting pizzas, slices, cakes or sandwiches into equal parts by halving, then halving again to form quarters and eighths, ensuring that the parts are equal investigating cup and spoon measures used in cooking and discussing what half or quarter of a cup or tablespoon measure means, and using sand or water to compare these to the full cup and tablespoon measures
  • Finish with mixed questions so students must choose the correct strategy rather than copy the last example.

Curriculum coverage and elaborations

The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning but may not appear in the initial eight-question activity.

  • Content description: identify common uses and represent halves, quarters and eighths in relation to shapes, objects and events
  • E1: demonstrating how food items can be cut in halves, quarters or eighths; for example, cutting pizzas, slices, cakes or sandwiches into equal parts by halving, then halving again to form quarters and eighths, ensuring that the parts are equal
  • E2: investigating cup and spoon measures used in cooking and discussing what half or quarter of a cup or tablespoon measure means, and using sand or water to compare these to the full cup and tablespoon measures
  • E3: demonstrating and using halves and quarters in folding activities; for example, folding paper in half and quarters and ensuring that the pieces are the same size
  • E4: recognising that halves and quarters can be used to describe lengths, positions and distances; for example, describing the halfway point in a race or instructing someone to stand halfway between the 2 chairs
  • E5: discussing that halves and quarters are used to describe duration of time in sporting events, durations of time and what it means; for example, how the sirens used during an Australian Rules Football game represent quarters and half time during the game; recognising and using half or quarter of an hour to describe a duration of time

How to use this unit

Read the topic guide, use the teacher slide for instruction, then complete the Worksheet, Practice and Test. These three activities use the same eight-question unit bank.

Teacher resource

AC9M2M02 teacher slide

Use this one-page PDF to introduce the key idea, vocabulary and teaching sequence before students begin the activities.

Open teacher slide (PDF)

Common mistakes to watch for

  • Rushing to a rule before checking the concrete model, drawing or number sentence.
  • Using the correct answer once but not being able to explain why it works.
  • Mixing up similar vocabulary such as more/less, before/after, longer/shorter or equal groups/sharing.

International curriculum mapping

This table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.

RegionCurriculumClosest mapping
AustraliaAustralian Curriculum v9.0AC9M2M02 — identify common uses and represent halves, quarters and eighths in relation to shapes, objects and events
VictoriaVictorian Curriculum F-10Year 2 Maths: closest match in Measurement. Use this page as a VIC-aligned practice and worksheet reference.
NSWNSW CurriculumStage 1 Maths: closest content focus for Common uses and represent halves, quarters and eighths in relation... and related outcomes.
United StatesCommon Core / NGSSGrade 2 Common Core Mathematics/ELA closest topic match for Common uses and represent halves, quarters and eighths in relation....
England / UKNational CurriculumKey Stage 1 / Year 2: closest programme-of-study match for Common uses and represent halves, quarters and eighths in relation....
CanadaProvincial and territory curriculaGrade 2 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference.
New ZealandNew Zealand CurriculumLevel 1 Maths: closest achievement-objective topic for Common uses and represent halves, quarters and eighths in relation....
IndiaNCERT / CBSEClass 2 closest NCERT/CBSE topic match for Common uses and represent halves, quarters and eighths in relation....

Related Year 2 Maths topics

Official curriculum references