What students learn in AC9M7P01
This unit helps students build a clear, usable understanding of The sample space for single-stage events; assign probabilities to the.... 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: identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- discussing the meaning of probability terminology; for example, “probability”, “sample space”, “favourable outcome”, “trial”, “experiment” and “event” listing sample spaces for games involving throwing a coin or a dice, spinners, or lucky dip
- 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: identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events
- E1: discussing the meaning of probability terminology; for example, “probability”, “sample space”, “favourable outcome”, “trial”, “experiment” and “event”
- E2: listing sample spaces for games involving throwing a coin or a dice, spinners, or lucky dip
- E3: exploring how relative frequencies can be used to make predictions by estimating the probability of an event; for example, in natural language processing (NLP), predictive text algorithms use the relative frequency of words in a set of texts to predict the next word in a sentence
- E4: assigning the probability for throwing a 6 on a dice and using this to predict the number of times a 6 will occur when a dice is thrown multiple times
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
AC9M7P01 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 | AC9M7P01 — identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events |
| Victoria | Victorian Curriculum F-10 | Year 7 Maths: closest match in Probability. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 4 Maths: closest content focus for The sample space for single-stage events; assign probabilities to the... and related outcomes. |
| United States | Common Core / NGSS | Grade 7 Common Core Mathematics/ELA closest topic match for The sample space for single-stage events; assign probabilities to the.... |
| England / UK | National Curriculum | Key Stage 3 / Year 7: closest programme-of-study match for The sample space for single-stage events; assign probabilities to the.... |
| Canada | Provincial and territory curricula | Grade 7 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 4 Maths: closest achievement-objective topic for The sample space for single-stage events; assign probabilities to the.... |
| India | NCERT / CBSE | Class 7 closest NCERT/CBSE topic match for The sample space for single-stage events; assign probabilities to the.... |