Mathematics / Year 9 / Statistics and Probability / Chance

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Curriculum content descriptions

List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events (ACMSP225)

Elaborations
  • conducting two-step chance experiments
  • using systematic methods to list outcomes of experiments and to list outcomes favourable to an event
  • comparing experiments which differ only by being undertaken with replacement or without replacement
General capabilities
  • Numeracy Numeracy
ScOT terms

Probability,  Sampling (Statistics)

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7 direct matches to ACMSP225 | 9 other related resources

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Possible outcomes: Year 9 – planning tool

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This planning resource for Year 9 is for the topic of Possible outcomes. Students are familiar with the language and concepts behind probability and possible outcomes. From here students focus their learning on using systematic approaches for various types of compound events before assigning probabilities to more complicated ...

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Back to the books

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In this lesson, students will explore how bookmakers set odds, and how these odds are carefully determined in order to guarantee the bookmaker the best chance of making a profit. Students learn how to convert between odds and probabilities and calculate the expected profit or loss based on odds. The lesson is outlined in ...

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Lucky lottery

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In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

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Loot boxes

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In this lesson, students will create their own video game concept, complete with a loot box system. They will then calculate the probability of obtaining all unique items to form a complete set, considering the challenges this random system entails and how the gambling system inherent could lead to unexpected losses. The ...

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Assessment task: Non-transitive dice

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This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to explore the outcomes of a set of non-transitive dice using probability tree diagrams, and discover their unique features. The assessment task is outlined in detail including ...

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Counter-intuitive probability

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This lesson is designed to demonstrate the ways in which random chance can be counter-intuitive. Students will explore how assumptions made in probability can be risky and investigate how to perform precise calculations to answer probability questions. The lesson is outlined in detail including NSW curriculum links, learning ...

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Assessment task: Chuck-a-Luck

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This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to investigate an old gambling game known as Chuck-a-Luck. They will calculate the probabilities of each betting option and their expected values. The assessment task is ...

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Thumb wrestling tournament

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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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Data representation and interpretation - years 9 and 10

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Sustainable agriculture: agri-environmental indicators

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This is a web resource that provides a database of agri-environmental indicators for environmental performance of agriculture in OECD countries between 1990 and 2008. The data table can be customised, with options to view by country or by theme: land, energy, air, nutrients, soil, biodiversity, pesticides, water, farm management ...

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Conduct chance experiments: Year 9 – planning tool

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This planning resource for Year 9 is for the topic of Conduct chance experiments. Students draw on what they have learnt about probabilities related to compound events and apply this knowledge in a variety of experiments. The use of digital tools and simulations allow for repeated practice of compound events and help to ...

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Interpret and discuss data displays: Year 9 – planning tool

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This planning resource for Year 9 is for the topic of Interpret and discuss data displays. Students will be presented with various digital media to investigate and evaluate findings from reports of surveys. Students will make informative decisions based on their prior knowledge of sampling and data collection to make judgements ...

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Statistical analysis: Year 9 – planning tool

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This planning resource for Year 9 is for the topic of Statistical analysis. Students have knowledge of various representations of data and can now extend this to comparison. Students compare many data sets of numerical variables to make comparisons using appropriate mathematical vocabulary. Students consider the shape and ...

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Poker machines (simulation)

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This lesson explores how poker machines work and what is meant by the term Return to Player (RTP) percentage. Students run simulations to determine how small betting amounts can lead to a large cumulative loss over time and examine how reinvesting profits or wins from playing the poker machine back into the machine has ...

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Collect, sort and compare data: Year 9 – planning tool

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This planning resource for Year 9 is for the topic of Collect, sort and compare data. Students examine different techniques for collecting types of data and begin to consider the challenges of collecting representative data by sampling a population.

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Probability calculations: Year 9 – planning tool

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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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