Chance
S3 Chance
Aligned to the NSW Syllabus for The Australian curriculum (https://educationstandards.nsw.edu.au/wps/portal/nesa/home)
- outcomes and content listed below
- outcomes and content listed below
Teachers and Caregivers are advised to review sites, before use, to assess suitability and to monitor advertising.
Spinners Explore - scootle.edu.au
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Birthday Chance - video clip bbc
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Probability Game - mr nussbaum
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The Sludger - scootle
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Vile Vendor - scootle
Snail Dice - transum
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Chance and playing with dice - abc video
What Are The Chances? - abc video
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Probability Quiz - transum (5levels)
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The Probability Machine - free-tutorials
Interactive Spinner - maths is fun
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Syllabus Outcomes
MAO-WM-01 Develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
MA3-CHAN-01 Conducts chance experiments and quantifies the probability
MA3-CHAN-01 Conducts chance experiments and quantifies the probability
Content
Chance A
List outcomes of chance experiments involving equally likely outcomes and represent probabilities
Compare observed frequencies of outcomes with expected results
List outcomes of chance experiments involving equally likely outcomes and represent probabilities
- Use the term probability to describe the numerical value that represents the likelihood of an outcome of a chance experiment
- Recognise that outcomes are described as equally likely when any one outcome has the same chance of occurring as any other outcome
- Record all outcomes in chance experiments where each outcome is equally likely to occur
- Represent probabilities of outcomes of chance experiments using fractions
- Establish that the total of the probabilities of the outcomes of a chance experiment equals one
- Discuss the imprecise meaning of commonly used chance words including possible, likely and unlikely
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
- Discuss the fairness of simple games involving chance and the idea of randomness
- Explain why observed frequencies of outcomes in chance experiments may differ from expected frequencies, and how this relates to randomness
- Create random generators to follow specified probabilities or proportions
- 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
- 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
- Determine and discuss the differences between the expected probabilities and the observed probabilities after both small and large numbers of trials
- 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)
updated Feb 2023
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