Mathematics / Year 8 / Statistics and Probability / Chance

Curriculum content descriptions

Represent events in two-way tables and Venn diagrams and solve related problems (ACMSP292)

Elaborations
  • using Venn diagrams and two-way tables to calculate probabilities for events, satisfying 'and', 'or' and 'not' conditions
  • understanding that representing data in Venn diagrams or two-way tables facilitates the calculation of probabilities
  • collecting data to answer the questions using Venn diagrams or two-way tables
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Venn diagrams,  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.

Interactive

Syllabus bites: Venn diagrams and Two-way tables

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

Interactive

Syllabus bites: The language of Venn diagrams

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

Interactive

Syllabus bites: Introducing Venn diagrams

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

Interactive

Syllabus bites: More Venn diagrams

An interactive exploration of Venn diagrams with three attributes.

Online

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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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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Years 7–8: General purpose programming

This scope and sequence unit introduces skills and tools for designing and testing algorithms, building up to the use of nested control structures and functions.

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Finding the shortest path

In this lesson, students will experiment with different ways of creating a path between two points with algorithm design and generalizing patterns. From the patterns, they will be able to generate an algorithm for efficiently traveling through cities in a region.