Mathematics / Year 5 / Statistics and Probability / Chance

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

Recognise that probabilities range from 0 to 1 (ACMSP117)

  • investigating the probabilities of all outcomes for a simple chance experiment and verifying that their sum equals 1
General capabilities
  • Numeracy Numeracy
ScOT terms

Probability,  Statistical frequency

Interactive Resource

Numeracy wrap: What is the chance?

In this resource students will use data to order chance events, order chance words on a number line and assign numerical value to the likelihood of an event occurring. It includes SMART Notebooks, links to interactive and printable sheets.

Teacher resource

Introduction to probability

This is a website designed for both teachers and students in year 5, and addresses components of the probability topic. It is particularly relevant for discussing chance experiments where the probability of events is equally likely and for describing those events using fractions. There are pages for both teachers and students. ...

Interactive resource

The vile vendor: best guess

Use a vending machine to get a vile-flavoured drink such as cabbage, smelly sock or rusty nail. The machine serves a can of drink randomly from four slots. Guess which drink flavour is most likely to be served. Make several guesses and then check your results from the random sample. Work out the likelihood of an event in ...


BBC Bitesize: probability - revision

This is a set of illustrated information sheets that revise ideas associated with chance events and the use of words and fractions to describe the likelihood of events occurring. Examples with answers are included and students have access to a multiple-choice test to assess their learning. This resource is one of a series ...


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 ...

Moving Image

What are the chances?

Do you know what chance is? It's the probability or the likelihood of something happening. Watch this video as Grace explains the probability of picking a red marble out of a bowl. What's the probability of picking a green marble?

Interactive resource

Wishball challenge: tenths

Test your understanding of decimal place value with numbers that include tenths. Receive a starting number, such as 128.9, and work towards turning it into a target number, such as 845.6. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. ...

Interactive resource

Wishball challenge: hundredths

Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting ...

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Chance and playing with dice

Have you ever played a game that required you to roll a dice? Did you know that you have equal chances of rolling any of the six numbers? Can you think of another experiment where you have an equal chance of getting one result or the other?


Statistics games

This resource is a web page containing three dice games to explore chance. Each dice game has simple instructions to play the interactive strategy game. The games provide a useful way to investigate the chance of rolling a particular number after successive trials. This resource is one activity from the NRICH collection.


Introducing chance - middle years

This collection of 19 digital curriculum resources is organised into three categories: random sampling and predicting outcomes; random sampling from a population; and predictions and outcomes. It contains selections from four interactive learning object series: Vile vendor; Foul food; Random or not; and Dice duels. In these ...

Interactive resource

The foul food maker: go figure

This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...

Teacher resource

Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...

Teacher resource

Make your own luck - unit of work

This unit explores the mathematics of chance, the notion of probability and how we can influence these factors.

Teacher resource

Chances are - unit of work

This unit explores the mathematics of chance. Discover the language of chance and how it affects our decisions. Explore the notion of probability, and how we can influence this.


Comparing chance

A simple interactive simulation in which students compare probabilities.

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Probability and the gambler's fallacy

Mathematician Lily Serna visits Luna Park to explain a great probability pitfall. She shares a century-old tale from Monte Carlo casino, and then she puts its lesson to the test. If you flip a coin and it lands on heads three times in a row, what result would you predict for the next flip? Find out why intuition might land ...


Data - Years 5 and 6

The 11 learning objects in this collection relate to the use, collection, display, comparison and interpretation of statistical data. Objects in the first category, statistical graphs, enable students to compare and use a broad range of statistical graphs appropriately. Objects in the second category, surveys, explore and ...

Teacher resource

TIMES Module 10: Statistics and Probability: chance, year 5 - teacher guide

This is a 13-page guide for teachers. This module continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken.

Teacher resource

Push your luck

This teaching resource outlines an introductory activity for students involving rolling two dice multiple times, adding the numerical value shown on the faces and recording the outcome using a tally sheet. The resource could be used by teachers to plan a class activity, or for students to carry out at home. The resource ...