What students learn in AC9M10P02
This unit helps students build a clear, usable understanding of Design and conduct repeated chance experiments and simulations using digital.... 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: design and conduct repeated chance experiments and simulations using digital tools to model conditional probability and interpret results.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- using samples of different sizes with and without replacement from a population to identify when the difference in methods becomes negligible recognising that an event can be dependent on another event and that this will affect the way its probability is calculated
- 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: design and conduct repeated chance experiments and simulations using digital tools to model conditional probability and interpret results
- E1: using samples of different sizes with and without replacement from a population to identify when the difference in methods becomes negligible
- E2: recognising that an event can be dependent on another event and that this will affect the way its probability is calculated
- E3: using simulations to gather data on frequencies for situations involving chance that appear to be counter-intuitive, such as the three-door problem or the birthday problem
- E4: identifying situations in real-life where probability simulations are used for decision-making, such as supply and demand of product, insurance risk and queueing
- E5: using simulation to predict the number of people likely to be infected with a strain of flu or virus
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
AC9M10P02 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 | AC9M10P02 — design and conduct repeated chance experiments and simulations using digital tools to model conditional probability and interpret results |
| Victoria | Victorian Curriculum F-10 | Year 10 Maths: closest match in Probability. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 5 Maths: closest content focus for Design and conduct repeated chance experiments and simulations using digital... and related outcomes. |
| United States | Common Core / NGSS | Grade 10 Common Core Mathematics/ELA closest topic match for Design and conduct repeated chance experiments and simulations using digital.... |
| England / UK | National Curriculum | Key Stage 4 / Year 10: closest programme-of-study match for Design and conduct repeated chance experiments and simulations using digital.... |
| Canada | Provincial and territory curricula | Grade 10 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 5 Maths: closest achievement-objective topic for Design and conduct repeated chance experiments and simulations using digital.... |
| India | NCERT / CBSE | Class 10 closest NCERT/CBSE topic match for Design and conduct repeated chance experiments and simulations using digital.... |