Year 3 Mathematics · AC9M3N01

Recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000

Large numbers are organised in groups of three digits. Each digit has a place value, and the same number can be renamed without changing its total value

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Learning goalsSay it simply

Large numbers are organised in groups of three digits. Each digit has a place value, and the same number can be renamed without changing its total value.

Learning routine: Read the periods → Build place value → Rename → Compare → Order → Explain

Success looks like

  • Read numbers beyond 10 000
  • Write number names
  • Use place value
  • Rename numbers
  • Compare and order

Success criteria:

  • Read numbers beyond 10 000
  • Write number names
  • Use place value
  • Rename numbers
  • Compare and order
Key conceptTeach from the board

Key idea: Large numbers are organised in groups of three digits. Each digit has a place value, and the same number can be renamed without changing its total value.

Learning routine: Read the periods → Build place value → Rename → Compare → Order → Explain

place value
the value a digit has because of its position
numeral
a written symbol or group of digits that names a number
natural number
a whole number used for counting
Clean visual examplesOne-page board

Clean one-page examples

AC9M3N01 - Recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000
Example 1

twenty-three thousand six 23 006 230 006

Example 2

Read and represent 42 507 ten-thousands 4 thousands 2 hundreds 5 tens 0 ones 7 42 507 is forty-two thousand five hundred and seven. The zero keeps the tens place. Read every label and identify what each quantity or feature represents. Describe the relationship shown by the model. Check that the conclusion answers the original question.

Example 3

Compare numbers from the highest place first 42 507 42 750 40 725 42 750 is greatest Compare ten-thousands first, then thousands, hundreds, tens and ones. Apply the same relationship to the new context, then justify the answer using the labels and evidence shown.

Example 4

1. Place-value build Build 15 704 and rename it as 157 hundreds and 4 ones. 10 000 1 1 000 5 100 7 10 0 1 4

Curriculum examplesCopied content

The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning.

  • Content description: recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000
  • E1: moving materials from one place to another on a place value model to show renaming of numbers; for example, 1574 can be shown as one thousand, 5 hundreds, 7 tens and 4 ones, or as 15 hundreds, 7 tens and 4 ones
  • E2: using the repeating pattern of place value names and spaces within sets of 3 digits to name and write larger numbers: ones, tens, hundreds, ones of thousands, tens of thousands, hundreds of thousands, ones of millions, tens of millions; writing, for example, four hundred and twenty-five thousand as 425 000
  • E3: predicting and naming the number that is one more than 99, 109, 199, 1009, 1099, 1999, 10 009 ... 99 999 and discussing what will change when one, one ten and one hundred is added to each
  • E4: comparing the Hindu-Arabic numeral system to other numeral systems; for example, investigating the Japanese numeral system, 一、十、百、千、万
  • E5: comparing, reading and writing the numbers involved in the more than 60 000 years of First Peoples of Australia’s presence on the Australian continent through time scales relating to pre-colonisation and post-colonisation

Australian, Victorian and NSW alignment retained from the previous page

RegionCurriculumClosest mapping
AustraliaAustralian Curriculum v9.0AC9M3N01 — recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000
VictoriaVictorian Curriculum F-10Year 3 Maths: closest match in Number. Use this page as a VIC-aligned practice and worksheet reference.
NSWNSW CurriculumStage 2 Maths: closest content focus for Recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000 and related outcomes.
Questions and answersWith answers
What is the big idea in this topic?
Large numbers are organised in groups of three digits. Each digit has a place value, and the same number can be renamed without changing its total value.
What routine should I use?
Read the periods → Build place value → Rename → Compare → Order → Explain
How do I know I am ready to move on?
You can read numbers beyond 10 000, write number names, use place value, rename numbers, compare and order and explain how your model or calculation supports the answer.
Practice and reviewReady for practice
  • Dropping a zero — A zero can hold an empty place, as in 42 507.
  • Comparing from the ones — Start at the highest place value.
  • Reading every digit separately — Read the number in periods: thousands, then ones.

  1. Order 39 999, 40 009, 40 090 and 39 909 from smallest to largest.

  2. A student says 50 206 is the same as 5 026 because both use 5, 2 and 6. Explain the error.

Review hint: Follow the routine “Read the periods → Build place value → Rename → Compare → Order → Explain” and use the worked model to check whether your answer is reasonable.

Curriculum alignmentStart here

Large numbers are organised in groups of three digits. Each digit has a place value, and the same number can be renamed without changing its total value.

Learning routine: Read the periods → Build place value → Rename → Compare → Order → Explain

Success looks like

  • Read numbers beyond 10 000
  • Write number names
  • Use place value
  • Rename numbers
  • Compare and order

Success criteria:

  • Read numbers beyond 10 000
  • Write number names
  • Use place value
  • Rename numbers
  • Compare and order
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