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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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Poker machines (simulation)

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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First steps in mathematics: Measurement – Book 2

A guide to teaching about measurement including indirect measuring, and estimating.

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School water use audit (Year 4)

In this activity, students identify the water use areas in the school and the water use items found in those areas. On the ‘Water walk’, students also identify any leaking water use items. They assess how water savings can be made in each of these areas.

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Counter-intuitive probability

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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Back to the books

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

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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Even and Odd Numbers - Calculate

In this activity let’s look at what happens when we add, subtract and multiply pairs of even numbers, pairs of odd numbers, or even a mix of even and odd numbers!

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Gambling as a cultural identity in Australia

In this lesson, students critically evaluate gambling’s link with Australia’s cultural identity through the lens of the traditional ANZAC day game of Two-up. Students will then propose alternatives to that aspect of the Australian cultural identity, encouraging their local community towards healthier choices around gambling ...

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The Mathematics of Projectiles - Calculate

This activity provides a practical introduction to the motion of projectiles with a focus on angles. It is designed as a lead in to parabolic and quadratic functions.

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Where does rain go?

In this activity, students explore what happens to rain falling on different surfaces.

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Gambling and the determinants of health

In this lesson, students compare and contrast gaming and gambling, and the effect on health and the potential harms. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials required, links to supporting videos, student handouts, student and teacher reflection points. ...

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The signs and risks of gambling

In this lesson, students explore the indicators and effects of gambling excessively. Students then create a mini-film, short clip or podcast to highlight the risks of gambling and how gambling can affect a young person’s life. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion ...

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Dripping tap investigation

In this activity, students measure how much water is wasted from a leaking tap.

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Subtraction Year 3 & 4 - Calculate

This activity is designed to encourage students to develop and explain different strategies to solve subtraction problems.

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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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Time Year 3 & 4 - Calculate

This lesson focuses on different ways to tell time.

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More than, less than ½ - Calculate

This game, played with ten-sided dice, in pairs or small groups, provides students with opportunities to make, simplify and compare fractions with different denominators. Students aim to collect fractions that are more than a half and less than a half, recording their rolled fractions on a score card as the game progresses.

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Multiplication Facts - Calculate

This resources describes some games and activities that can be used to help students learn the multiplication facts (or times tables) up to 10 × 10.

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Maps Year 3 & 4 - Calculate

The focus of this activity is to encourage students to use trial and error and persistence to solve a mathematical problem.