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Listed under:  Mathematics  >  Statistics and probability  >  Statistical frequency
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Conduct chance experiments: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Conduct chance experiments. Students predict the frequency of an outcome of repeated chance experiments. They conduct simulations using digital tools to generate and record the outcomes, and observe the effect of many trials on the outcome. They then compare observed ...

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Probability calculations: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Probability calculations. Students build on their knowledge of probability, Venn diagrams, two-way tables and the terms ‘and’ and ‘or’ (inclusive or exclusive) in relation to events whereby relative frequencies may be calculated.

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Possible outcomes: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Possible outcomes. Students represent the probability of an event occurring on a scale of zero to one as decimals, fractions or percentages.

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Possible outcomes: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Possible outcomes. Students list the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely.

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Conduct chance experiments: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Conduct chance experiments. Students conduct repeated chance experiments including those with and without equally likely outcomes. They then observe the outcome of their chance experiments, record data and describe the relative frequencies.

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Introduction to probability

This is a website designed for both teachers and students in year 5, and addresses components of the probability topic. It is particularly relevant for discussing chance experiments where the probability of events is equally likely and for describing those events using fractions. There are pages for both teachers and students. ...

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Two-up - The fairest game of all?

In this lesson, students look at the history and mathematics of Two-Up, exploring why it is considered such a fair game, and how the ‘boxer’ or game runner makes a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials required, links to supporting videos ...

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Poker machines

In this lesson, students design a poker machine payout system which both guarantees a return of 85% of money invested, while also being fun and engaging for the player. Students then simulate these machines to test the ‘actual’ or real world payout of such machines, taking note of their feelings when playing. Ultimately, ...

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Chances are!

Students calculate the sum of probabilities for a chance experiment and compare frequency predictions with actual data.

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How does gambling on the races work?

This lesson simulates the operation of a bookmaker to illustrate to students how easy it is to get swept up in the excitement of a race, and to show how the bookmakers are always coming out having made a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials ...

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MoneySmart: The house of needs and wants

This is a unit of work integrating aspects of the mathematics, English and science curriculums around planning a school breakfast. The unit was written for year 3 and is intended to take about 12 hours. It consists of 11 student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities ...

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reSolve: Probability - Rock Paper Scissors

In this sequence of two lessons, students determine their chances of winning the game 'rock paper scissors', then test their chances by playing against another player and in a simulated game. Students look at the psychological aspect of the game and recognise that there is a strategy to increase your chance of winning. ...

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Rubbish recording and reduction: Part 1

In this lesson sequence students survey and collect data concerning what is brought to school each day and subsequently becomes rubbish. They then use Excel to represent that data in a variety of different ways.

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Rubbish recording and reduction: Part 2

In this lesson sequence students use Excel to represent data in a variety of ways.

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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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MoneySmart: Sal's secret

This is a year 3 mathematics unit of work about saving and budgeting for a class party. The unit is intended to take about 10.5 hours of teaching and learning time spread over some months. It consists of nine student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities include ...

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TIMES Module 11: Statistics and Probability: chance, year 6 - teacher guide

This is a 17-page guide for teachers. It continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken. Experiments involving known probabilities are considered and what is observed is compared with what is expected. This is carried out with both small and large ...

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Push your luck

This teaching resource outlines an introductory activity for students involving rolling two dice multiple times, adding the numerical value shown on the faces and recording the outcome using a tally sheet. The resource could be used by teachers to plan a class activity, or for students to carry out at home. The resource ...

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reSolve: Authentic Problems: Bottle Flipping

This sequence of four lessons explores fractions and statistical reasoning through conducting a series of fair tests to answer the question 'What fraction of a bottle needs to be filled with water to be the best for bottle flipping?'. The lessons focus on building understanding of fractions and collecting, organising and ...

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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 ...