Mathematics / Year 4 / Number and Algebra / Fractions and decimals

Curriculum content descriptions

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079)

  • using division by 10 to extend the place-value system
  • using knowledge of fractions to establish equivalences between fractions and decimal notation
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Simple fractions,  Decimals


Place value: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Place value. Students apply their understanding of fractions and division to divide a whole (rectangle model) into 10 equal pieces. They learn that each piece represents 0.1 or one tenth of the length of the original whole.


Decimal fractions video

Use this video to explore decimal fractions, how they are represented and how we use them in day-to-day contexts.


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. ...


Decimaster: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.


reSolve: Authentic Problems: 10000 Centicubes

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...


Let's party!

In this lesson students learn about needs and wants whilst budgeting for a birthday party. Students gather and compare data about how their classmates celebrate birthdays. They are then introduced to budgeting in the context of planning a party. They are asked to consider how needs and wants impact their spending choices ...


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.


Spending the lotto millions!

Students apply standard and non-standard place value partitioning to seven-digit numbers.


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.


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.


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?


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.


Measuring sticks: Decimals

In this lesson, students learn about place value and how it extends beyond whole numbers. They use drinking straws to model decimals.


Decimats - Calculate

This activity allows students to develop an understanding of decimals and how they connect to fractions and the area model. It enables them to make comparisons between decimals and their sizes and build a greater understanding of what makes a larger decimal and smaller decimal. The decimats provide them with a representational ...


The Power of Ten - Calculate

This activity aims to improve student fluency in mentally multiplying and dividing numbers by 10, 100 and 1000.


Factors and multiples: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Factors and multiples. Students solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 without a calculator, using the multiplicative relationship between the place value of digits.


Left overs

Students investigate the relative position of numbers by modelling fractional numbers between whole numbers. They represent linear models of fractions along number lines and use these models to count and solve simple fraction addition problems.


Musical fractions

Break down a song by counting how long the notes are in action! Learn about patterns in rhythms and musical notes, and discover the role of fractions in denoting whole, half and quarter notes and creating distinct sounds.


What is a quarter?

What is a quarter? You get quarters when you divide a whole into four equal parts. Each one of these four parts is a quarter. Watch this great explainer produced by Monique in collaboration with ABC Splash and see how she explains quarters.


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?