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Mathematics / Year 6 / Statistics and Probability / Chance

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

Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145)

Elaborations
  • conducting repeated trials of chance experiments, identifying the variation between trials and realising that the results tend to the prediction with larger numbers of trials
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Sampling (Statistics)

Video

Probability and the birthday paradox

Even when a maths problem seems simple – for example, the chance of two people sharing a birthday – the maths can run counter to our human intuition. Mathematician Lily Serna poses a maths problem to the Clovelly Bowling Club: how many people do you need to gather to get a 50 per cent chance of any two people in that group ...

Video

Same birthday: what's the chance?

Mathematician Adam Spencer answers a question about something called the 'birthday paradox'. Find out what this has to do with birthdays and the number of people in a room.

Interactive

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 ...

Video

Comparing chance

A simple interactive simulation in which students compare probabilities.

Online

reSolve: Probability - Rock Paper Scissors

In this sequence of two lessons, students determine their chances of winning the game 'rock paper scissors', then test their chances by playing against another player and in a simulated game. Students look at the psychological aspect of the game and recognise that there is a strategy to increase your chance of winning. ...

Online

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

The foul food maker: questions 1

Use a vending machine to get an awful meal such as fly soup, worm pasta or yucky duck. The machine serves a meal randomly from four slots. Work out the likelihood of getting each type of meal. Then choose a matching probability word: impossible, unlikely, equal, likely or certain. Run simple probability experiments. Compare ...

Online

Australian Historical Population Statistics to 2014 - dataset

The dataset provides statistics about the population of Australia in terms of age and sex from 1901 to 2014. It is made available by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

Video

Impact of coming to school on carbon emissions

How big is your carbon footprint as you travel to and from school? Watch Daniel O'Doherty, 2008 'Action Against Climate Change' Eureka Schools Prize winner, as he determines his hypothesis then designs and conducts a study about carbon emissions. Listen to the recommendations he makes to reduce and offset the emissions ...

Online

reSolve: Sports Salaries

This sequence of two lessons explores data sampling methods and measures of spread applied to a real world context of sporting teams. Students explore variation in the salaries of NBA players using real world data. They calculate means and medians, draw graphs, compare findings, and investigate the implications of obtaining ...

Image

Taking ocean samples

This is a colour photograph of marine scientist Dr Candida Savage taking samples from the ocean off Stewart Island, New Zealand. In the image, Dr Savage appears to be placing samples into microtubes and placing the microtubes into a microtube storage container. Dr Savage is sitting on a jetty by the ocean.

Interactive

The slushy sludger: questions

Use a vending machine to squirt coloured 'slushies' into ice-cream cones. Work out which 'sludge events' are possible and then choose a matching probability word.

Interactive

Spinners: explore

Test a coloured spinner (dial with pointer) with three equal-sized sectors. Use a tool to build more spinners. Choose up to twelve equal-sized sectors. Choose one of three colours for each part of a spinner. For example, make a three-colour spinner with six red sectors, four yellow sectors and two orange sectors. Test the ...

Interactive

Leisure survey

Explore how kids use their leisure time. Choose questions to ask in a survey. For example, look at the percentages of kids that play tennis, basketball or netball. Examine a table of results. Sort the data and use it to answer questions. Display the results using a suitable type of graph such as a pie chart, bar graph or ...

Online

Trade and Investment at a Glance

Using an illustrated report from the Department of Foreign Affairs and Trade, this Teacher guide provides ten learning sequences that engage students in the analysis and interpretation of data about Australian imports and exports. Students: identify Australia's major exports and imports; investigate international trade ...

Online

Australia's Trade through Time

Using an interactive timeline created by the Department of Foreign Affairs and Trade, this Teacher guide provides 12 series of learning experiences that engage students in the analysis and interpretation of data about Australian trade from 1900 to the present day. Students study videos, tables, images and texts in order ...

Online

Random sampling

This is a teacher resource for random sampling consisting of a website and a PDF with identical content. All of the topics in probability and statistics in the Australian Curriculum: Mathematics require an understanding of random sampling. The content of the resource enables teachers to become familiar with random sampling ...

Online

Probability

This is a teacher resource for probability consisting of a website and a PDF with identical content. It contains an introduction to probability, a discussion of random procedures, a formal approach to events and event spaces and probability axioms, conditional probability and independence, and the laws of probability.

Online

Sampling from a population

This is a website designed for both teachers and students that refers to sampling from a population and taking a census from the Australian Curriculum for year 8 students. It contains material on cross-sections of sampling and how the means and proportions of samples vary. There are pages for both teachers and students. ...

Online

Inference for means

This is a teacher resource for inference for means consisting of a website and a PDF with identical content. It contains a discussion of the sample mean as a point estimate of the population mean, sampling from symmetric distributions, sampling from assymetric distributions, the central limit theorem and confidence intervals.