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

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

Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078)

Elaborations
  • converting mixed numbers to improper fractions and vice versa
  • investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations
General capabilities
  • Numeracy Numeracy
ScOT terms

Denominators,  Number lines,  Mixed numbers,  Arithmetic sequences

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.

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

FF: matching cake fractions - Google Play app

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 ...

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' ...

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 ...

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 ...

Collection

Building basic fraction skills

This collection of 13 interactive learning objects is organised into four categories - introduction to fractions; naming fractions; fraction applications; and comparing and ordering fractions. The learning objects develop an understanding of the relationship between spatial, symbolic and written forms of a fraction. They ...

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. ...

Text

BBC Bitesize: time - revision

This is a set of information sheets on time measurement ideas, including units and the relationship between them, 12- and 24-hour clocks, calendars and timetables. Practice and test questions with answers are provided. This resource is one of a series of online resources from the BBC's Bitesize collection.

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

Using visual tools to assist low achievers with mental computation

This teacher resource describes a case study investigating the use of visual tools to enhance mental computation by year 4 students who achieved poor results on the National Assessment Program - Literacy and Numeracy (NAPLAN) numeracy test, at St Monica's Primary School, Canberra. The method section describes the use of ...

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.

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

Exploring fractions

Use partially filled measuring cups to explore fractions: improper, mixed and equivalent fractions. For example, select six cups which are one-quarter full to balance one and a half cups. Or achieve an equivalent result by selecting three cups, which are half full.

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: ...

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

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. ...