F-10 Curriculum (V8)
F-10 Curriculum (V9)
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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 ...
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 ...
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 ...
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 ...
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 ...
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. ...
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 ...
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 ...
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 ...
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 ...
An interactive resource in which students explore, interpret and draw Venn diagrams with two attributes.
Interactive activities supporting students learning to describe regions of a Venn diagram.
Worked examples and guided exercises to assist students learning to use Venn diagrams as an organiser for solving mathematical problems.
An interactive exploration of the relationship between Venn diagrams and Two-way tables.
An interactive exploration of Venn diagrams with three attributes.
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 ...
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.