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

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

Downloadable

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 ...

Online

Fruit fractions: Fruit salad crafty creations

Students demonstrate knowledge of fractions through creating their very own simulated ‘fruit salad’. Pose the questions: if you were to create a fruit salad what would it have in there? In what ratios/proportions? Are there any fruits you wouldn’t want in there? Which fruits go/don’t go together? Showcase your understanding ...

Downloadable

Walking the rope

Students develop an understanding of the proportion and relationships between fractions. They represent fractions using linear models and symbols and form a generalisation about fractions equivalent to one whole.

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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?

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More than, less than ½ - Calculate

This game, played with ten-sided dice, in pairs or small groups, provides students with opportunities to make, simplify and compare fractions with different denominators. Students aim to collect fractions that are more than a half and less than a half, recording their rolled fractions on a score card as the game progresses.

Downloadable

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.

Online

Fruit fractions: Growing with fruit

Explore fractions through plant growth in this engaging lesson. Students will measure and represent plant growth using fractions, gaining a clear understanding of numerators and denominators. This interactive lesson encourages creative exploration of equivalent fractions while fostering a deeper connection with the concept ...

Video

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.

Interactive

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.

Online

reSolve: Authentic Problems: Expanded Square

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical ...

Video

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.

Video

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.

Video

Mixed Up Maths, Ep 1: Monumental measurement mess ups

Did you know that in Australia we use a metric system for measurement? See if you know the units of measurement for length, mass and volume. Find out what system the United States uses. You guessed it - they don't use the metric system! See how a mix up of these units can cause all kinds of mess ups.

Video

MathXplosion, Ep 31: Heavy vs big

How would you measure and compare the weight of something? Learn why big things aren't necessarily heavy. All you need is something heavy and a lot of something light and you’ll be able to prove that weight is not the same as size.

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.

Interactive

MoneySmart: Money maps

This learning object helps students to explore the history of currency including bartering, the development of cash systems, and the arrival of cards and ATMs, both in Australia and around the world. It provides an interactive time line which spans the development of currency around the globe from 9000BCE to today, and ...

Online

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. ...

Interactive

MoneySmart: helping out

This is an activity about making choices to raise money for imaginary animals called gumbutangs. Their habitat is being eradicated and something must be done to save them. The user's first choice is between two websites, one a trusted one, the other a scam site. Then they are given choices about how to raise money for the ...

Interactive

Sustainable transport – sustainability action process (Years 3–6)

This sustainable transport learning resource will guide students through an extended school based investigation. Students will develop and implement a chosen sustainability action and then evaluate and reflect on their success and their learning.

Interactive

Waste and materials – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...