Mathematics / Year 6 / Statistics and Probability / Chance

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

Compare observed frequencies across experiments with expected frequencies (ACMSP146)

Elaborations
  • predicting likely outcomes from a run of chance events and distinguishing these from surprising results
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Observations (Data),  Statistical frequency,  Expected frequency

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Year level 5-6
Resource type
Learning area Mathematics
Interactive resource

Dice duels: bike race

Race bikes along a track. Try to pick a winner before the races start. Add the numbers on a pair of dice to determine which bike moves. Explore how many rolls are needed to complete a race. Work out the least and greatest number of rolls possible for two track lengths. Look at larger samples of race results. Compare the ...

Tablet friendly (Interactive resource)

Mystery spinner: challenge

Look at results in a frequency graph compiled after testing an unseen spinner. Work out the likely proportions of colours in the mystery spinner. Use a tool to build a new spinner (a dial with a pointer). Choose up to five equal-sized sectors. Fill the sectors with up to five colours. For example, make a five-part spinner ...

Interactive resource

Mystery spinner: match the graph

Look at results in a frequency graph compiled after testing an unseen spinner. Work out the likely proportions of colours in the mystery spinner. Use a tool to build a new spinner (a dial with a pointer). Choose up to three equal-sized sectors. Fill the sectors with up to three colours. For example, make a three-part spinner ...

Interactive resource

Mystery spinner

Look at results in a frequency graph compiled after testing an unseen spinner. Work out the likely proportions of colours in the mystery spinner. Use a tool to build a new spinner (a dial with a pointer). Choose up to twelve equal-sized sectors. Fill the sectors with up to five colours. For example, make a six-part spinner ...

Text

Game of PIG – Sixes

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

Interactive resource

Dice duels: find the bias

A dice has been weighted (loaded) to favour one of the six numbers. Roll the dice to work out which is the favoured face. Explore how many rolls are needed for you to be reasonably sure of a conclusion. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical data distributions with ...

Interactive resource

Dice duels: load one dice

Make biased dice. Weight (load) a dice to favour one of the six numbers. For example, load the number six so that it is three times more likely to come up than any other face (probability 4/9). Test ideas about bias by rolling a loaded dice. Look at demonstrations of the mathematical principles of bias. Compare the shape ...

Teacher resource

reSolve: Probability

This sequence of four lessons explores probability in real world situations including advertising, games and population sampling. Students calculate probabilities, represent probabilities as fractions, decimals and percentages, perform chance experiments with small and large sample sizes and graph their results, examine ...

Interactive resource

Dice duels: load one dice [ESL]

Make biased dice. Weight (load) a dice to favour one of the six numbers. For example, load the number six so that it is twice as likely to come up than any other face (probability 2/7). Test ideas about bias by rolling a loaded dice. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical ...

Interactive resource

Dice duels: find the bias [ESL]

A dice has been weighted (loaded) to favour one of the six numbers. Roll the dice to work out which is the favoured face. Explore how many rolls are needed to be reasonably sure of a conclusion. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical data distributions with experimental ...

Interactive Resource

Spinner

This is an interactive resource that investigates experimental and theoretical probability based on a spinner. The student can select the number of segments on the spinner and simulate spinning the spinner with a mouse click. The outcome of each trial is recorded in a table along with a comparison between the cumulative ...

Interactive Resource

Racing game with one die

This is an interactive game that investigates probability by simulating a two-car race, in which the movements of the cars are based on the roll of a die. Cars advance when certain numbers are rolled, and the student can experiment with probability by selecting which car moves forward for a given outcome of the roll of ...

Teacher resource

Mystery bag

In this mathematical activity, students make predictions about the contents of a mystery bag based on their own small sample. Students share information and reflect on and modify their predictions. Students choose a sample size they believe will be sufficient to make an accurate prediction and then check their predictions.

Text

BBC Bitesize: relative frequency - revision

This is a set of illustrated information sheets that revise the concept of relative frequency in estimating the probability of an event 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 of online resources from the ...

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

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.

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

Starting Smart: how likely is it? - years 5 and 6

This curriculum resource package is a ten-week unit plan and set of supporting resources for the upper primary years, focusing on progressing students' understanding of chance events and assigning a measure of likelihood to an event using words or numbers. Students identify and list possible outcomes in simple chance events ...

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 ...

Mobile app

Taronga Zoo - Rainforest heroes: iPad app

This iPad app provides an experience of Taronga Zoo's stunning Wild Asia rainforest trail. Guided by volunteer researcher Heidi Greentree and a GPS map, students create a PDF field report using the photographs they have taken, observations made and information collected. This can be emailed for further research and discussion ...