Mathematics / Year 8 / Statistics and Probability / Chance

Curriculum content descriptions

Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'. (ACMSP205)

Elaborations
  • posing 'and', 'or' and 'not' probability questions about objects or people
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Probability,  Boolean operators

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TIMES Module 13: Statistics and Probability: chance, year 8 - teacher guide

This is a 15-page guide for teachers. It continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken. In year 8, students see that these are a special case of finding probabilities of events by summing probabilities of the disjoint (or mutually exclusive) outcomes ...

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Work sample Year 8 Mathematics: Random selection

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 8 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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The wide wide world of sports betting

This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

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One word changes it all

Exploring the meaning of 'and' and 'or' in probability.

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Introduction to games of chance

This lesson explores how to predict outcomes of games of chance. Students investigate the concepts of luck, skill and fairness, using dice games. They calculate probabilities for one and two dice rolls and compare the odds for different combinations of dice in a variety of game scenarios. The lesson is outlined in detail ...

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Probability calculations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Probability calculations. Students are introduced to more complex probability concepts, terminology and visual representations for all combinations of two events. Students learn the language and differences between the connectors: ‘and’, ‘or’(inclusive or exclusive), ...

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Can you beat the system?

In this lesson, students calculate the average expected value of losses on a roulette wheel over time, and use these values to analyse the cost of gambling on these games. They also study the flaws inherent in betting systems to determine whether these systems are weighted in the favour of game operators making a profit. ...

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Prediction vs. reality

This lesson explores how we perceive randomness. Students toss coins and record their observations while half of the class fake their results. They will then explore the differences between the random results and fake results sets and investigate theoretical probabilities for large numbers of coin flips. The lesson is outlined ...

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Possible outcomes: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Possible outcomes. Students are introduced to more complex probability concepts, terminology and visual representations. These concepts may be challenging for students to comprehend and will need multiple examples incorporating relevant teaching strategies.

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Conduct chance experiments: Year 8 – planning tool

This planning resource for Year 8 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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Big data, better hospitals

Overcrowding in hospitals is one of the biggest challenges facing our healthcare system . In order to reduce hospital waiting times, the Patient Admission Prediction Tool (PAPT) uses historical data to predict how many patients, and with what kinds of injuries, are expected to arrive at the emergency department each day ...

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TIMES Module 1: Number and Algebra: sets and Venn diagrams - teacher guide

This is a 22-page guide for teachers. The module provides an introduction to set notation and demonstrates its use in logic, probability and functions.

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Syllabus bites: More Venn diagrams

An interactive exploration of Venn diagrams with three attributes.

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Syllabus bites: Introducing Venn diagrams

An interactive resource in which students explore, interpret and draw Venn diagrams with two attributes.

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Syllabus bites: The language of Venn diagrams

Interactive activities supporting students learning to describe regions of a Venn diagram.

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Syllabus bites: Venn diagrams and Two-way tables

An interactive exploration of the relationship between Venn diagrams and Two-way tables.

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Syllabus bites: Using Venn diagrams to solve problems

Worked examples and guided exercises to assist students learning to use Venn diagrams as an organiser for solving mathematical problems.

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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 ...