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Mathematics / Year 3 / Number and Algebra / Fractions and decimals

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

Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole (ACMNA058)

Elaborations
  • partitioning areas, lengths and collections to create halves, thirds, quarters and fifths, such as folding the same sized sheets of paper to illustrate different unit fractions and comparing the number of parts with their sizes
  • locating unit fractions on a number line
  • recognising that in English the term ‘one third’ is used (order: numerator, denominator) but that in other languages this concept may be expressed as ‘three parts, one of them’ (order: denominator, numerator) for example Japanese
General capabilities
  • Numeracy Numeracy
ScOT terms

Unit fractions

Tablet friendly (Interactive resource)

Fraction fiddle: matching cake fractions

Fill orders in a cake shop. Match a fraction to parts of a cake. For example, identify the fraction of a cake remaining after it has had one quarter removed. Check your prediction by making the fraction and seeing what it looks like as part of a circle. Watch the circle change as you adjust the numerals in the numerator ...

Interactive resource

Shape fractions

Use this tool to explore how to express fractions and display them in different ways. Divide simple shapes into equal parts. Select regions, then express the area selected as a fraction (or equivalent). Manually select fractions or choose other options to set variables displayed.

Interactive resource

Fraction fiddle: tool

Use a tool to explore what happens when you change the numerals in a fraction. Compare two fractions and find out which is larger. For example, decide whether 4/3 is larger than 7/5. Build the two fractions. Compare the fractions on a number line. A handy tool for use on an interactive whiteboard.

Collection

Mixed-Up Maths

Join our host, Ed, as he finds himself in all types of situations where only his knowledge of Maths can help him. From saving the planet from Aliens, to creating a superhero that can stop a strawberry milkshake tidal wave. From searching for buried treasure, to jumping like a daredevil, or planning the greatest circus party ...

Interactive resource

Fraction fiddle: comparing unit fractions

Two kiwis each gobble up part of a worm. Identify which bird ate the most. For example, decide whether one-third (1/3) is larger than one-quarter (1/4). Build the fraction that each bird ate. Compare the fractions on a number line. Check which fraction is bigger. This learning object is one in a series of seven objects.

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.

Interactive resource

Park fractions

Help a town planner to design two site plans for a park. Assign regions on a grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter corresponding fractions and their equivalents. ...

Tablet friendly (Interactive resource)

Cassowary sanctuary

Help a park ranger to arrange fencing in a wildlife sanctuary. Divide common geometric shapes into equal-sized sections for keeping cassowaries. Group the enclosures to form a quarantine zone for sick and injured birds. Then express divisions of the enclosures as fractions. Work through facts about the life of cassowaries: ...

Tablet friendly (Interactive resource)

Cassowary fractions

Help a park ranger to arrange fencing in a wildlife sanctuary. Divide common geometric shapes into equal-sized sections for keeping cassowaries. Group the enclosures to form a quarantine zone for sick or injured birds. Then express the divisions of the enclosures as fractions. This learning object is one in a series of ...

Interactive resource

Design a park

Help a town planner to design a site plan for a park. Assign regions on a grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter corresponding fractions and their equivalents. ...

Moving Image

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.

Moving Image

Fractions in the real world

How many quarters make up a whole? Watch this video to find out how else you can represent 2/4 and how to add up quarters to make a whole.

Teacher resource

Mental computation: fractions and decimals

This is a teacher resource that is part of a wider series; it provides a structured strategies-based approach to mental computation of problems involving common and decimal fractions for primary level. It provides nine classroom activities that enable students to develop mental-computation skills in sequence by building ...

Teacher resource

Top drawer teachers: fractions

This is a web page that comprehensively covers the teaching of the conceptual understanding of fractions through links to six sections. The first section covers the ‘Big ideas’ behind fractions, while the second section uses research findings to identify some common misunderstandings when learning fractions. The third explores ...

Interactive Resource

Fraction basics - Easy & Effective Fractions Tutor - iTunes app

Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.

Interactive Resource

Equivalent fractions - Google Play app

Create equivalent fractions by dividing squares and circles, match a fraction's location on a number line. Equivalent fractions are displayed in a table to help identify patterns. Use the 'build your own' feature to further explore equivalent fractions. Free when reviewed on 12/5/2015.

Moving Image

Maths Years 3–4 with Ms Kirszman: Find missing numbers on a number line

In this lesson, Ms Kirszman tells you about a very robust and interesting debate that took place with her class when the students needed to find some missing information on a number line. You'll use fractions, paper folding and fifthing to work out where you lie in this great debate.

Teacher resource

reSolve: Authentic Problems: Bottle Flipping

This sequence of four lessons explores fractions and statistical reasoning through conducting a series of fair tests to answer the question 'What fraction of a bottle needs to be filled with water to be the best for bottle flipping?'. The lessons focus on building understanding of fractions and collecting, organising and ...

Interactive Resource

Equivalent fractions - iTunes app

Create equivalent fractions by dividing squares and circles, match a fraction's location on a number line. Equivalent fractions are displayed in a table to help identify patterns. Use the 'build your own' feature to further explore equivalent fractions. Free when reviewed on 12/5/2015.

Interactive resource

Squirt: two containers: level 2

Examine the relationships between capacities of containers of different shapes and sizes. Squirt liquids between two containers to establish the proportional relationship. Express relationships using mathematical notation such as a=6xb. This learning object is the second in a series of five objects that progressively increase ...

Teacher resource

Probability and pancakes

This is an integrated unit of work around the Kenyan village tale, 'Mama Panya's Pancakes'. Intended for years 3 and 4 and written from a global education perspective, the resource consists of five single- or multi-lesson activities, titled: Possibly, possibly not; Mama Panya's Pancakes; Mapping the journey; How much and ...