NSW Syllabuses

Mathematics K–10 - Stage 1 - Statistics and Probability Chance

Chance 1

Outcomes

A student:

• MA1-1WM

describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols

• MA1-3WM

supports conclusions by explaining or demonstrating how answers were obtained

• MA1-18SP

recognises and describes the element of chance in everyday events

• Students:
• Identify outcomes of familiar events involving chance and describe them using everyday language, such as 'will happen', 'won't happen' or 'might happen' (ACMSP024)
• identify possible outcomes of familiar activities and events, eg the activities that might happen if the class is asked to sit on the floor in a circle
• use everyday language to describe the possible outcomes of familiar activities and events, eg 'will happen', 'might happen', 'won't happen', 'probably'

Background Information

Students should be encouraged to recognise that, because of the element of chance, their predictions will not always be proven true.

When discussing certainty, there are two extremes: events that are certain to happen and those that are certain not to happen. Words such as 'might', 'may' and 'possible' are used to describe events between these two extremes.

Language

Students should be able to communicate using the following language: will happen, might happen, won't happen, probably.

National Numeracy Learning Progression links to this Mathematics outcome

When working towards the outcome MA1‑18SP the sub-elements (and levels) of Understanding chance (UnC1) describe observable behaviours that can aid teachers in making evidence-based decisions about student development and future learning.

The progression sub-elements and indicators can be viewed by accessing the National Numeracy Learning Progression.

Chance 2

Outcomes

A student:

• MA1-1WM

describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols

• MA1-18SP

recognises and describes the element of chance in everyday events

• Students:
• Identify practical activities and everyday events that involve chance (ACMSP047)
• recognise and describe the element of chance in familiar activities and events, eg 'I might play with my friend after school'
• predict what might occur during the next lesson or in the near future, eg 'How many people might come to your party?', 'How likely is it to rain if there are no clouds in the sky?' (Communicating, Reasoning)
• Describe outcomes as 'likely' or 'unlikely' and identify some events as 'certain' or 'impossible' (ACMSP047)
• describe possible outcomes in everyday activities and events as being 'likely' or 'unlikely' to happen
• compare familiar activities and events and describe them as being 'likely' or 'unlikely' to happen
• identify and distinguish between 'possible' and 'impossible' events
• describe familiar events as being 'possible' or 'impossible', eg 'It is possible that it will rain today', 'It is impossible to roll a standard six-sided die and get a 7' (Communicating)
• identify and distinguish between 'certain' and 'uncertain' events
• describe familiar situations as being certain or uncertain, eg 'It is uncertain what the weather will be like tomorrow', 'It is certain that tomorrow is Saturday' (Communicating)

Background Information

Refer to background information in Chance 1.

Language

Students should be able to communicate using the following language: chance, certain, uncertain, possible, impossible, likely, unlikely.

The meaning of 'uncertain' is 'not certain' – it does not mean 'impossible'.

National Numeracy Learning Progression links to this Mathematics outcome

When working towards the outcome MA1‑18SP the sub-elements (and levels) of Understanding chance (UnC1-UnC2) describe observable behaviours that can aid teachers in making evidence-based decisions about student development and future learning.

The progression sub-elements and indicators can be viewed by accessing the National Numeracy Learning Progression.