AC9MFN03 • Foundation Maths

And compare collections to at least 20 using counting and...: Foundation Maths topic guide

quantify and compare collections to at least 20 using counting and explain or demonstrate reasoning

What students learn in AC9MFN03

This unit helps students build a clear, usable understanding of And compare collections to at least 20 using counting and.... 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: quantify and compare collections to at least 20 using counting and explain or demonstrate reasoning.
  • Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
  • establishing the language and process of counting, understanding that each object must be counted only once, that the arrangement of objects does not affect how many there are, and that the last number counted answers the question of “How many?”; for example, saying numbers in sequence while playing and performing actions using counting to compare the size of two or more collections of like items to justify which collection contains more or less items
  • 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: quantify and compare collections to at least 20 using counting and explain or demonstrate reasoning
  • E1: establishing the language and process of counting, understanding that each object must be counted only once, that the arrangement of objects does not affect how many there are, and that the last number counted answers the question of “How many?”; for example, saying numbers in sequence while playing and performing actions
  • E2: using counting to compare the size of two or more collections of like items to justify which collection contains more or less items
  • E3: using counting and one-to-one correspondence to quantify the number of items required for a purpose; for example, when asked to collect enough scissors for each member of their group to have a pair, counting each member and using the total count to know how many to collect
  • E4: discussing how different cultures may have alternative ways of representing the count; for example, discussing how people of the Asia region use an abacus or Chinese hand gestures
  • E5: using body-tallying that involves body parts and one-to-one correspondence from counting systems of First Nations Peoples of Australia, to count to 20 (teaching context)

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

AC9MFN03 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 v9.0AC9MFN03 — quantify and compare collections to at least 20 using counting and explain or demonstrate reasoning
VictoriaVictorian Curriculum F-10Foundation Maths: closest match in Number. Use this page as a VIC-aligned practice and worksheet reference.
NSWNSW CurriculumEarly Stage 1 Maths: closest content focus for And compare collections to at least 20 using counting and... and related outcomes.
United StatesCommon Core / NGSSKindergarten Common Core Mathematics/ELA closest topic match for And compare collections to at least 20 using counting and....
England / UKNational CurriculumKey Stage 1 / Year 1: closest programme-of-study match for And compare collections to at least 20 using counting and....
CanadaProvincial and territory curriculaKindergarten 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 And compare collections to at least 20 using counting and....
IndiaNCERT / CBSEKindergarten / Foundation closest NCERT/CBSE topic match for And compare collections to at least 20 using counting and....

Related Foundation Maths topics

Official curriculum references