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Gambling harm and support networks

In this lesson, students research support networks that are available for gamblers in Australia. They explore how to recognise behaviours that indicate whether gambling is causing harm and how to seek and provide help for harmful gambling behaviours. The lesson is outlined in detail including NSW curriculum links, learning ...

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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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Multi-bets

In this lesson, students will calculate both the payout and the odds for various multi-bets, demonstrating how even this increased payout does not match the probability of achieving such a bet, and therefore the risk and appeal of the bet should be weighed up. The lesson is outlined in detail including NSW curriculum links, ...

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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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Lotto mania

In this lesson, students will simulate a lottery, and perform calculations to determine the small probability of their exact numbers being drawn from a lottery. They will also consider the financial investment that would be required to guarantee a lottery win, ultimately determining that such a strategy would end up costing ...

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Assessment task: Chuck-a-Luck

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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Should you swap?

This lesson explores the classic probability problem, commonly known as the Monty Hall problem: having chosen what you think is the winning door with the money behind it, should you swap to another door when Monty offers you the opportunity? Students will first use probability language to define the problem. Students will ...

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Assessment task: Non-transitive dice

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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Loot boxes

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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Lucky lottery

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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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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Percentages - Calculate

In this unit, let’s look at how percentages are used in everyday life to compare changes in things and measure rates of change.

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Voronoi Diagrams - Calculate

This unit of work explores coordinate geometry in the context of Voronoi diagrams. Students use linear coordinate geometry to construct Voronoi diagrams by finding the gradient of a line segment, then finding the midpoint, a perpendicular line and finally the perpendicular bisector.

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Financial Mathematics: Simple Interest - Calculate

This unit introduces the calculation of simple interest, as a starter for learning about compound interest. Students learn about a range of ways in which interest generally is used and applied in the real world and then use the formula for calculating simple interest to solve borrowing, saving and investment problems.

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Duck in a Bucket - Calculate

In this game for pairs or teams, students practise addition and subtraction of small numbers, using multiple strategies.

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Number Walk Rich Task - Calculate

This downloadable lesson resource introduces the concept of ‘Number Walks’: taking a stroll with the class or group around the school or the local neighbourhood. Guided by the teacher, students note down anything they see that relates back to their understanding of the topic and then conduct a plenary session back in the ...

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Pass The Count - Calculate

This game allows students to practice their skip counting skills in small groups.

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Visualising data for a game of Kolap: Part 2

In this second of two lessons, students create a visual representation of the data collected and recorded while playing a First Nations Australian children’s instructive game of throwing skill called Kolap.

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Engineering is futures-focused and multidisciplinary

In this lesson, students explore the multidisciplinary nature of contemporary engineering, and how engineering is pivotal to solving future challenges such as climate change, renewable energy and food security.

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Prime and Composite Numbers - Calculate

This unit investigates prime and composite numbers. Prime numbers are the elements of number system. Combining primes together by multiplication gives us all of the other whole numbers, just as combining atoms of different elements gives us the molecules and compounds of the physical world.