Chance B
Mathematics K–10 (2022) · Stage 3 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA3-CHAN-01 conducts chance experiments and quantifies the probabilityContent dot points
Each dot point has its own page with resources matched to it.
Compare observed frequencies of outcomes with expected results
- Use the term frequency to describe the number of times a particular outcome occurs in a chance experiment
- Distinguish between the frequency of an outcome (the number of times it occurs) and the probability of an outcome in a chance experiment
- Compare the expected frequencies of outcomes of chance experiments with observed frequencies, including where the outcomes are not equally likely 1 resource · 1 interactive/game
- Discuss the fairness of simple games involving chance and the idea of randomness 1 resource · 1 interactive/game
- Explain why observed frequencies of outcomes in chance experiments may differ from expected frequencies, and how this relates to randomness 1 resource · 1 interactive/game
Create random generators and describe probabilities using fractions
- Create random generators to follow specified probabilities or proportions 1 resource · 1 interactive/game
- Record the outcomes for chance experiments where the outcomes are not equally likely to occur and assign probabilities to the outcomes using fractions (denominators of 2, 3, 4, 5, 6, 8 and 10)
- Use knowledge of benchmark fractions, decimals and percentages to assign probabilities to the likelihood of outcomes
Conduct chance experiments with both small and large numbers of trials
- Assign expected probabilities to outcomes in chance experiments with random generators, including digital simulators, and compare the expected probabilities with the observed probabilities after both small and large numbers of trials 1 resource · 1 interactive/game
- Determine and discuss the differences between the expected probabilities and the observed probabilities after both small and large numbers of trials 1 resource · 1 interactive/game
- Determine the likely make up of a large collection of objects, by sampling objects and returning them to the collection before the next sample (sampling with replacement)
Stage 3 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence – Stage 3
- Unit/PlanningMaking connections – Stage 3 (parallel content)