Mathematics / Year 3 / Number

Curriculum content descriptions

recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000 (AC9M3N01)

Elaborations
  • 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
  • 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 \(425 000\)
  • 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
  • comparing the Hindu-Arabic numeral system to other numeral systems; for example, investigating the Japanese numeral system, 一、十、百、千、万
  • 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
General capabilities
  • Numeracy Numeracy
ScOT terms

Numerical order,  Positive integers,  Place value,  Number lines

Interactive

Wishball: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, such as 7664. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. You can use a 'Wishball' ...

Interactive

MoneySmart: Money maps

This learning object helps students to explore the history of currency including bartering, the development of cash systems, and the arrival of cards and ATMs, both in Australia and around the world. It provides an interactive time line which spans the development of currency around the globe from 9000BCE to today, and ...

Interactive

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Online

Number sequence: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Number sequence. Students learn to recognise, represent and order whole numbers up to 10,000 and beyond. This involves using number names, writing conventions and renaming numbers using place-value parts.

Downloadable

Hundreds and thousands

Students compare and order three-digit numbers using number lines.

Video

AERO Ochre Maths Year 3 Unit 1 - Place value

This sequence of ten lessons will teach students about four-digit numbers and their properties.

Downloadable

First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

Downloadable

Operations: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

Downloadable

Flying high

Students partition four-digit numbers into place-value parts.

Downloadable

First steps in mathematics: Number – Book 1

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

Downloadable

Number: Foundation to Year 9

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

Downloadable

AERO Ochre Maths Year 3 Unit 2 - Exploring calculation strategies

This sequence of 15 lessons will teach students various calculation strategies.

Downloadable

School challenge

Students represent four-digit numbers to 2,000 using materials. They read, write and compare three-digit and four-digit numbers.

Interactive

The multiplier: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving complex multiplications in your head such as 22x38. Work through sample questions and instructions explaining how to use partitioning techniques. Solve multiplications by breaking them up into parts that are easy to work with, use ...

Interactive

The take-away bar: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving subtractions in your head such as 87-39. Work through sample questions and instructions explaining how to use linear partitioning techniques. Solve subtractions by breaking them up into parts that are easy to work with, work out each ...

Interactive

The difference bar: go figure

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...

Interactive

Wishball: hundreds

Test your understanding of place value with three-digit numbers. Start with a three-digit whole number such as 507. A spinner provides a randomly generated digit. Choose its place value and add it to (or subtract it from) your starting number. Work towards a given target number, say 539, using other digits. You can choose ...

Online

MoneySmart: Sal's secret

This is a year 3 mathematics unit of work about saving and budgeting for a class party. The unit is intended to take about 10.5 hours of teaching and learning time spread over some months. It consists of nine student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities include ...

Interactive

MoneySmart: helping out

This is an activity about making choices to raise money for imaginary animals called gumbutangs. Their habitat is being eradicated and something must be done to save them. The user's first choice is between two websites, one a trusted one, the other a scam site. Then they are given choices about how to raise money for the ...

Interactive

Summing Decimals

An interactive resource in which students learn how to add and subtract numbers that have up to two decimal places.