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Sampling from a population

This is a website designed for both teachers and students that refers to sampling from a population and taking a census from the Australian Curriculum for year 8 students. It contains material on cross-sections of sampling and how the means and proportions of samples vary. There are pages for both teachers and students. ...

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Probability

This is a website designed for both teachers and students that addresses probability from the Australian Curriculum for year 7 students. It contains material on the language of probability, experiments and counting, and the probability of an event, and explains the mathematical use of the terms 'random' and 'randomly'. ...

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TIMES Module 12: Statistics and Probability: chance, year 7 - teacher guide

This is a 13-page guide for teachers. It continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken. In year 7, students revisit simple situations with a clear and easily listed number of possible outcomes that can, or may, be assumed to be equally likely. In ...

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Thumb wrestling tournament

In this introductory activity students use a simple thumb-wrestling tournament to analyse a series of matches in which there can only be one victor. Students work in small groups to explore different ways of mapping out the events of a tournament, introducing the concept of constructing sample spaces and tree diagrams as ...

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Catalyst: Magical maths

At first glance, maths and magic might not appear to have much in common, but did you know that you can use maths and logic to come up with solutions to problems that can seem magical? Learn one such maths trick in this video from ABC Catalyst. What is the probability of the letter not being 'e'?

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Catalyst: Probability and the gambler's fallacy

Mathematician Lily Serna visits Luna Park to explain a great probability pitfall. She shares a century-old tale from Monte Carlo casino, and then she puts its lesson to the test. If you flip a coin and it lands on heads three times in a row, what result would you predict for the next flip? Find out why intuition might land ...

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MathXplosion, Ep 8: Birthday probability

What is the probability there are at least two people in your class who have the same birthday? If you have at least 23 people in your class, the chances are good. Find out the maths behind this theory.

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MathXplosion, Ep 49: The probability of finding matching socks

Check out this probability puzzle that requires you to weigh all the possibilities. Pick the most likely outcome when confronted with a drawer full of loose, unpaired socks! How did Eric come up with a matching pair?

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reSolve: Monte Carlo Simulations

This sequence of two lessons explores how statistical techniques that rely on randomly generated data can be used to solve problems. In the first lesson, students compare different methods for calculating the area of an irregular shape, using the context of oil spill maps. They are introduced to the Monte Carlo method for ...

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Catalyst: Probability and the birthday paradox

Even when a maths problem seems simple – for example, the chance of two people sharing a birthday – the maths can run counter to our human intuition. Mathematician Lily Serna poses a maths problem to the Clovelly Bowling Club: how many people do you need to gather to get a 50 per cent chance of any two people in that group ...

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ReSolve: Hot Streaks

This sequence of two lessons students investigate streaks in statistical data. They develop tests for randomness in order to distinguish between random and non-random results and use their understanding of randomness to investigate the existence or otherwise of the 'hot streak' phenomenon in basketball. Each lesson is outlined ...

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Determining the probability of a good day for sowing cotton

This activity is a series of three related tasks that support the use of spreadsheets (Excel), Venn diagrams and two-way tables to develop an understanding of conditional probability when used to determine the probability of a farmer being able to sow a cotton crop. The activity is, based on real historical soil and air ...