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Mathematics / Year 3 / Statistics and Probability / Chance

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

Conduct chance experiments, identify and describe possible outcomes and recognise variation in results (ACMSP067)

Elaborations
  • conducting repeated trials of chance experiments such as tossing a coin or drawing a ball from a bag and identifying the variations between trials
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Measures of spread,  Probability,  Observations (Data)

Video

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?

Video

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

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 ...

Video

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?

Online

Always, sometimes, never

This is a web resource that includes four student activities focusing on chance and the language associated with chance events, accompanied by activity sheets and a detailed teacher guide for each activity. The activities cover words associated with chance and likelihood, fairness, luck and superstitions, and ordering chance ...

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

The slushy sludger: 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. Will an event happen: yes, no or maybe? Answer some sample questions using these words and then build your own examples. This learning object is one in a series of three objects.

Interactive

The vile vendor: questions

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. Work out the likelihood of getting each flavour. Then choose a matching probability word: impossible, unlikely, equal, likely or certain. Move on to filling the slots ...

Interactive

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 ...

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 ...

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 ...

Interactive

Light and shadows

Look at how a tree makes a shadow during a sunny day. Notice that objects always casts shadows that face away from the Sun. Examine how the shape and position of a shadow is related to the time of day and position of the Sun. Explore the shadows cast by different objects such as a bike, an umbrella and a child. Position ...

Image

Orrery, c1770 - part 2

This is a mechanical model of part of the solar system, commonly known as an orrery, manufactured by English mathematician and instrument maker Benjamin Martin in about 1770. This bronze model features a cylindrical clockwork mechanism with an orb representing the Sun placed in the centre. Extending from this on an arm ...

Image

Bookmaker's indicator board, 1947

This is a bookmaker's indicator board, an apparatus for the display of betting odds, comprising four die-cast metal pieces joined to form an indicator board that is rectangular in shape and painted green. It was manufactured by Diecasters Australia in 1947. There is provision for a total of 12 names, each having a corresponding ...

Online

reSolve: Sport Stats

In this lesson, students examine sporting scores and explore the concept of the average of a set of scores. Students collect sporting scores from real and hypothetical games, use blocks to visualise an even distribution of scores across matches and then explore how to calculate the average of a set of scores. The lesson ...

Online

ReSolve: Hot Streaks

This sequence of two lessons students investigate streaks in statistical data. They develop tests for randomness in order to distinguish between random and non-random results and use their understanding of randomness to investigate the existence or otherwise of the 'hot streak' phenomenon in basketball. Each lesson is outlined ...

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 ...

Online

ReSolve: What's In A Name

This sequence of two lessons examines trends in the names of students in the class, as well as trends in popular names from 2017 and 1957. Students explore data associated with these names and decide whether the mean, median or mode might be a suitable measure of central tendency. They develop their skills with spreadsheets ...

Text

Hubble telescope: benefits and limitations

This is a website about how the Hubble telescope has contributed to advances in scientific knowledge. The website has extensive information about the development and technology of the telescope, as well as how it works and the scientific achievements made by it. There is a gallery containing 3-D images, movies and wallpapers ...

Online

Statistics and Probability - data representation and interpretation (Dairy Herd Data)

This is a teacher resource about investigating and interpreting data relating to dairy farm milk yields, and contains two work tasks including an extension task, data sets, student worksheets to assess learning, and background information. This resource, produced by Agrifood Skills Australia, is part of the Agriculture ...