Mathematics / Year 4 / 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 tens of thousands to assist calculations and solve problems (ACMNA073)

Elaborations
  • recognising and demonstrating that the place-value pattern is built on the operations of multiplication or division of tens
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Associativity

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Year level 3-4
Resource type
Learning area Mathematics
Interactive Resource

Sites2See – number for primary

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

Tablet friendly (Interactive resource)

Wishball challenge: 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, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

Teacher resource

Counting games - years 1 and 2

This is a teacher resource that includes a set of student activities including counting games, focusing on numbers to 100, accompanied by copy masters and a detailed teacher guide for each activity. The games include the Korean number counting game sam yew gew - referred to as 'sam-yuk-gu' in the Australian Curriculum. ...

Moving Image

Can you add and subtract numbers in hundreds?

Can you add two numbers that are both in the hundreds? Here's an example that uses 129 and 573. See how to carry the tens and hundreds. Also watch how to subtract two numbers that are both in the hundreds. This example uses 781 and 218. Take 218 away from 781. See how to do the tricky bit of 'carrying'.

Moving Image

Adding and subtracting numbers in the hundreds

Can you add two numbers that are both in the hundreds? Here's an example that uses 149 and 673. See how to carry the tens and hundreds. Also watch how to subtract two numbers that are both in the hundreds. This example uses 741 and 218. Take 218 away from 741. See how to do the tricky bit of 'carrying'.

Tablet friendly (Interactive resource)

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' ...

Text

BBC Bitesize: whole numbers - revision

This is a set of illustrated information sheets dealing with place value concepts associated with whole numbers, including ordering numbers, and multiplication and division by powers of 10. Examples with answers are included and students have access to test questions to assess their learning. This resource is one of a series ...

Collection

Mental calculation strategies - addition and subtraction

This collection of 21 digital curriculum resources focuses on assisting students to develop efficient and effective mental calculation strategies for performing additions and subtractions of two-, three- and four-digit whole numbers. It is organised in three categories: developing strategies - addition; developing strategies ...

Teacher resource

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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Which number is bigger?

Need some tips to help you work out if one large number is bigger than another? See how to use the value of thousands or hundreds of thousands in large numbers. Find out how to use 'less than' and 'greater than' symbols.

Teacher resource

MoneySmart: How much love can fit into a shoebox?

This is a year 4 mathematics unit of work about preparing a 'shoebox of love', a gift-filled shoebox to be sent to a child in need. The unit is intended to take about 11 hours of teaching and learning time. It consists of an introduction, seven student activities and teacher notes on curriculum, pedagogy and assessment. ...

Teacher resource

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.

Teacher resource

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.

Teacher resource

Modelling numeracy lessons

A teacher works with other year 3 and 4 teachers in her school to design and implement explicit mathematical learning experiences for students.  Collaboratively, they select and use content and resources for numeracy lessons suited to the strengths and needs of individual students from diverse backgrounds. She understands ...

Teacher resource

TIMES Module 5: Number and Algebra: using place value to write numbers - teacher guide

This is a 16-page guide for teachers. a module that introduces place value.

Teacher resource

Top drawer teachers: mental computation

This is a web page that comprehensively covers the teaching of strategies for mental computation through links to six sections. The first section covers the ‘Big ideas’ behind mental computation, and the second section uses research findings to identify some common learning issues when becoming fluent in mental computation. ...

Teacher resource

TIMES Module 7: Number and Algebra: addition of whole numbers - teacher guide

This is a 16-page guide for teachers. This module introduces addition of whole numbers.

Teacher resource

TIMES Module 8: Number and Algebra: subtraction of whole numbers - teacher guide

This is a 16-page guide for teachers. This module continues the consideration of whole numbers.

Tablet friendly (Interactive resource)

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 ...