Mathematics / Year 3 / Number and Algebra / Number and place value

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems (ACMNA053)

Elaborations
  • recognising that 10 000 equals 10 thousands, 100 hundreds, 1000 tens and 10 000 ones
  • justifying choices about partitioning and regrouping numbers in terms of their usefulness for particular calculations
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Associativity

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

Sites2See – number for primary

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

Video

Maths Years 3 - 4 with Ms Kirszman: Partitioning numbers using efficient strategies

In this lesson, you will continue to partition numbers in standard and non-standard ways. You'll also explore how the same problem can be solved in many ways, and you'll be challenged to find other ways to solve problems and to discover which strategies are most efficient.

Video

Maths Years 3 - 4 with Ms Kirszman: Our place value system

In this lesson, Ms Kirszman demonstrates how to measure using 10 as a unit to iterate – rather than using a smaller unit. You will also explore how renaming, using place value parts, can help you when working with numbers. The place value number system will be looked at in some depth, as well as the importance of the periods ...

Video

Maths Years 3 - 6 with Miss White: Calculating change using vertical subtraction

In this lesson, Miss White teaches you how to complete formal subtraction problems that involve regrouping. She will teach you how to regroup multiple times, and she will teach you how to calculate your change when you go shopping.

Video

Maths Years 3 - 6 with Miss White: Addition without regrouping

In this lesson, Miss White teaches you how to complete formal addition problems without regrouping. She demonstrates how to set up and solve the addition questions correctly, and she provides opportunities for you to have a go at home.

Video

Maths Years 3 - 6 with Miss White: Addition with regrouping

In this lesson, Miss White teaches you how to use regrouping to complete formal addition problems. She demonstrates how to set up and solve the addition questions correctly, and she provides opportunities for you to have a go at home.

Interactive

Wishball challenge: hundreds

Challenge your understanding of place value in whole numbers up to 999. Receive a starting number, such as 328, and work towards turning it into a target number, such as 177, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting ...

Video

Maths Years 3 - 6 with Miss White: Subtraction with regrouping

In this lesson, Miss White teaches you how to use regrouping to complete formal subtraction problems. She will introduce you to a helpful rhyme, which will help you when you're trying to solve tricky subtraction questions.

Video

Maths Years 3 - 6 with Miss White: Subtraction without regrouping

In this lesson, Miss White teaches you how to complete formal subtraction problems without regrouping. She demonstrates how to set up and solve the subtraction questions correctly, and she provides opportunities for you to have a go at home.

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 ...

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' ...

Online

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 ...

Video

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?

Online

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.

Online

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.

Online

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 ...

Interactive

Summing Decimals

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

Video

Zero the hero

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

Video

Maths Years 3 - 4 with Ms Kirszman: Quantifying collections

In this lesson, Ms Kirszman teaches you how to play Minute To Win It, and she explores how we can quantify collections without needing to count but by looking and thinking instead. The use of familiar structures to help you quantify collections is also explored, for example, dice patterns and ten-frames.