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

Numeral systems,  Numerical order,  Positive integers,  Place value,  Number lines

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Today's Number - Calculate

This is an open task as it can cater for the needs of many students and can be used over and over to build confidence in representing numbers in different ways. In this activity students have an opportunity to engage with a variety of number ranges and are able to demonstrate their understandings of those numbers in many ways.

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Mastermind - Calculate

This small group game challenges students to use logic and problem solving strategies to name multi-digit numbers.

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Park Ranger Problem Solving: An ‘Addition & Subtraction’ Rich Task for Years 3–4 - Calculate

The aim of this task is to provide a rich, contextual activity through which students can begin to explore the addition and subtraction of one- and two-digit of numbers in everyday contexts.

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Number Patterns - Calculate

This resource introduces a number of activities focused around number patterns. Helping children to explore, continue and describe number patterns can lead to an early understanding of algebraic concepts.

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' ...

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reSolve: Addition: Chess - The Rook

This lesson engages students in investigating place value and the addition and subtraction of numbers by exploring computation on the number chart. Students analyse the moves of a rook chess piece and how the value of the numbers change as he moves. This builds into an exploration of how the number chart can be used as ...

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BTN: What is an abacus?

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

Interactive

Decimal currency videos

This collection of videos from the Royal Australian Mint provides a series of brief descriptions of the transition from pre-decimal to decimal currency in Australia and how coins are made in a mint

Interactive

Sustainable transport – sustainability action process (Years 3–6)

This sustainable transport learning resource will guide students through an extended school based investigation. Students will develop and implement a chosen sustainability action and then evaluate and reflect on their success and their learning.

Interactive

Waste and materials – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

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TIMES Module 1: Number and Algebra: counting and place value - teacher guide

This is a 16-page guide for teachers. It is a module introducing the concept of place value.

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TIMES Module 2: Number and Algebra: addition and subtraction - teacher guide

This is a 29-page guide for teachers. The module introduces addition and subtraction of whole numbers.

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Decimals Year 3 & 4 - Calculate

The focus of this activity is to find out what students know about addition of decimals and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?

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ROWCO - Calculate

ROWCO is a card game that will help students practice their addition facts while playing an engaging strategy game.

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Race to... - Calculate

This game challenges students to use their knowledge of place value to add and subtract random numbers in order to meet a target value.

Interactive

Goat Busters (Area model for multiplication) - ABC Education

As a team use the area model and mathematical thinking to find the answer to tricky calculations. Mathematical ideas and strategies this game supports: area model for multiplication; 1 x 2-digit multiplication; 2 x 2-digit multiplication; identifying factors; partial products; distributive property; place value partitioning ...

Interactive

Thundergoats (Combinations for ten) - ABC Education

As a team, use your knowledge of different strategies to find the total number of Thundergoats as efficiently as possible (e.g. use combinations for ten). Mathematical ideas and strategies this game supports: noticing how items are organised can help you work out their total (subitising). There are many ways to add and ...

Interactive

Piñata Party Tens (2-digit place value)

As a team, use your knowledge of tens and ones place values to help the goats release the treats from the piñata and have the GOAT party! Mathematical ideas and strategies this game supports: - Increasing and decreasing the value of 2-digit numbers. - Identifying the value of a digit based on its position in a numeral. - ...

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TIMES Module 3: Number and Algebra: multiplication and division - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the type of problem phrased in words that requires multiplication for its solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive ...

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Cuisenaire Rods Lesson Plan - Calculate

This lessons explores the use of Cuisenaire rods and uses play to introduce them to students.