What students learn in AC9M6P01
This unit helps students build a clear, usable understanding of That probabilities lie on numerical scales of 0 - 1.... The goal is not to memorise one answer pattern. Students should be able to explain the idea, recognise it in a new example and apply it in a short practice or worksheet task.
- Start with the main idea: recognise that probabilities lie on numerical scales of 0 - 1 or 0% - 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- recognising that the probability of an event occurring can be represented numerically as either a number ranging from zero to one or a percentage from 0% to 100% where zero or 0% means it won’t happen and one or 100% means it is certain to happen using a scale of zero to one or 0% to 100% to estimate chances of events
- Finish with mixed questions so students must choose the correct strategy rather than copy the last example.
Curriculum coverage and elaborations
The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning but may not appear in the initial eight-question activity.
- Content description: recognise that probabilities lie on numerical scales of 0 - 1 or 0% - 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals
- E1: recognising that the probability of an event occurring can be represented numerically as either a number ranging from zero to one or a percentage from 0% to 100% where zero or 0% means it won’t happen and one or 100% means it is certain to happen
- E2: using a scale of zero to one or 0% to 100% to estimate chances of events
- E3: listing the different possible outcomes for rolling a dice and using a scale to locate the relative probability by considering the chance of more or less than for each possible event; for example, the probability of getting a number greater than 4
- E4: recognising the language used to describe situations involving uncertainty, such as what it means to be lucky, a 75% chance of rain or a 1-in-100 years flood
- E5: exploring how probabilities are used in artificial intelligence for machine learning and decision-making; for example, when choosing a video on a streaming service or travelling in a self-driving autonomous car, where artificial intelligence algorithms estimate the probability of a pedestrian crossing the road, which helps the autonomous car make decisions about when to stop or slow down
- E6: exploring First Nations Australian children’s instructive games, such as Weme from the Warlpiri Peoples of Central Australia, to investigate and assign probabilities that events will occur, indicating their estimated likelihood (teaching context)
How to use this unit
Read the topic guide, use the teacher slide for instruction, then complete the Worksheet, Practice and Test. These three activities use the same eight-question unit bank.
Teacher resource
AC9M6P01 teacher slide
Use this one-page PDF to introduce the key idea, vocabulary and teaching sequence before students begin the activities.
Open teacher slide (PDF)Common mistakes to watch for
- Rushing to a rule before checking the concrete model, drawing or number sentence.
- Using the correct answer once but not being able to explain why it works.
- Mixing up similar vocabulary such as more/less, before/after, longer/shorter or equal groups/sharing.
International curriculum mapping
This table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.
| Region | Curriculum | Closest mapping |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M6P01 — recognise that probabilities lie on numerical scales of 0 - 1 or 0% - 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals |
| Victoria | Victorian Curriculum F-10 | Year 6 Maths: closest match in Probability. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 3 Maths: closest content focus for That probabilities lie on numerical scales of 0 - 1... and related outcomes. |
| United States | Common Core / NGSS | Grade 6 Common Core Mathematics/ELA closest topic match for That probabilities lie on numerical scales of 0 - 1.... |
| England / UK | National Curriculum | Key Stage 2 / Year 6: closest programme-of-study match for That probabilities lie on numerical scales of 0 - 1.... |
| Canada | Provincial and territory curricula | Grade 6 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference. |
| New Zealand | New Zealand Curriculum | Level 3 Maths: closest achievement-objective topic for That probabilities lie on numerical scales of 0 - 1.... |
| India | NCERT / CBSE | Class 6 closest NCERT/CBSE topic match for That probabilities lie on numerical scales of 0 - 1.... |