Year 3 Mathematics · AC9M3P02

Conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation

Repeated chance experiments produce results that can vary. More trials give more evidence about patterns, but exact counts are not guaranteed

Ready to project and teach

Learning goalsSay it simply

Repeated chance experiments produce results that can vary. More trials give more evidence about patterns, but exact counts are not guaranteed.

Learning routine: List outcomes → Predict → Repeat trials → Tally → Compare results → Discuss variation

Success looks like

  • Identify outcomes
  • Conduct repeated trials
  • Record frequencies
  • Compare sets
  • Discuss variation

Success criteria:

  • Identify outcomes
  • Conduct repeated trials
  • Record frequencies
  • Compare sets
  • Discuss variation
Key conceptTeach from the board

Key idea: Repeated chance experiments produce results that can vary. More trials give more evidence about patterns, but exact counts are not guaranteed.

Learning routine: List outcomes → Predict → Repeat trials → Tally → Compare results → Discuss variation

chance experiment
a repeatable action with an uncertain result
trial
one performance of a chance experiment
variation
differences in results between repeated sets of trials
Clean visual examplesOne-page board

Clean one-page examples

AC9M3P02 - Conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation
Example 1

Outcome Tally Frequency Red ||||| ||||| || 12 Blue ||||| ||| 8

Example 2

Set A: 12 red, 8 blue Set B: 9 red, 11 blue

Example 3

Record 20 spinner trials Outcome Tally Frequency Red ||||| ||||| || 12 Blue ||||| ||| 8 The frequencies show what happened in this set of trials. Read every label and identify what each quantity or feature represents. Describe the relationship shown by the model. Check that the conclusion answers the original question.

Example 4

Compare two trial sets Set A: 12 red, 8 blue Set B: 9 red, 11 blue variation is normal A fair chance process can still produce different results in separate runs. Apply the same relationship to the new context, then justify the answer using the labels and evidence shown.

Curriculum examplesCopied content

The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning.

  • Content description: conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation
  • E1: identifying the possible outcomes of a chance experiment, creating a tally chart to record results, carrying out a few trials and tallying the results for each trial; responding to the questions: “How did your results vary for each trial?” and “How do the results vary across the class?”
  • E2: conducting repeated trials of chance experiments such as tossing a coin, throwing a dice, drawing a coloured or numbered ball from a bag, using a coloured spinner with equal partitions, and identifying the variation in the number of heads/fives/reds between trials
  • E3: discussing how the process of conducting repeated chance experiments is crucial in the training of artificial intelligence applications like recommendation systems; for example, if they were building a recommendation system for an online shopping website, they could conduct repeated experiments by tracking user interactions over time

Australian, Victorian and NSW alignment retained from the previous page

RegionCurriculumClosest mapping
AustraliaAustralian Curriculum v9.0AC9M3P02 — conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation
VictoriaVictorian Curriculum F-10Year 3 Maths: closest match in Probability. Use this page as a VIC-aligned practice and worksheet reference.
NSWNSW CurriculumStage 2 Maths: closest content focus for Conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation and related outcomes.
Questions and answersWith answers
What is the big idea in this topic?
Repeated chance experiments produce results that can vary. More trials give more evidence about patterns, but exact counts are not guaranteed.
What routine should I use?
List outcomes → Predict → Repeat trials → Tally → Compare results → Discuss variation
How do I know I am ready to move on?
You can identify outcomes, conduct repeated trials, record frequencies, compare sets, discuss variation and explain how your model or calculation supports the answer.
Practice and reviewReady for practice
  • Expecting perfect equality — Equal chances do not guarantee equal results in a small trial.
  • Changing the device — Keep the experiment conditions consistent.
  • Recording from memory — Tally each trial immediately.

  1. Explain why 11 heads and 9 tails does not prove the coin is unfair.

  2. A student predicts 10 heads and stops recording after 10 heads occur. Explain why the procedure is unfair.

Review hint: Follow the routine “List outcomes → Predict → Repeat trials → Tally → Compare results → Discuss variation” and use the worked model to check whether your answer is reasonable.

Curriculum alignmentStart here

Repeated chance experiments produce results that can vary. More trials give more evidence about patterns, but exact counts are not guaranteed.

Learning routine: List outcomes → Predict → Repeat trials → Tally → Compare results → Discuss variation

Success looks like

  • Identify outcomes
  • Conduct repeated trials
  • Record frequencies
  • Compare sets
  • Discuss variation

Success criteria:

  • Identify outcomes
  • Conduct repeated trials
  • Record frequencies
  • Compare sets
  • Discuss variation
Related resourcesKeep teaching

Related Classroom Views

Continue through closely related Year 3 Maths concepts.

Explore all Year 3 Maths topics

Teach & ExplainTeaching slides and samples

Teach this topic step by step

Explore optional teaching slide packs for classroom lessons and explanations at home.

Browse Teach & Explain · Browse Print & Go

Teachers: follow SkillrHub on TPT, then email us to request a free sample before buying. Include the year, subject and topic or curriculum code.

Request a free sample

After trying the sample, honest feedback is welcome. A TPT review is optional, where available, and does not need to be positive.