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Tiling problem

Use this diagnostic task to assess if students use an array structure when working out how many tiles fit in a rectangle.

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First steps in mathematics: Chance and data

This guide supports teachers to develop students’ understanding, skills and processes related to probability and statistics.

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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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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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Gambling: Identifying influences

In this lesson students consider their circles of influence, identifying influential factors that may contribute to finding ourselves in potentially unsafe situations. Students then explore ways to resist negative influences and encourage positive influences. The class practices responding to situations of gambling harm ...

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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 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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Sports betting

In this lesson students will take ownership of a gambling organisation. They will look at long term statistics of various sporting matches to set the initial odds and then monitor live betting to adjust the odds they are offering gamblers, in order to demonstrate how sports betting organisations guarantee they always make ...

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My town

Students use everyday language to give directions, follow directions to locate positions on maps, and draw plans from a bird’s-eye view.

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Tuckshop orders

Students make calculations with money.

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Left overs

Students investigate the relative position of numbers by modelling fractional numbers between whole numbers. They represent linear models of fractions along number lines and use these models to count and solve simple fraction addition problems.

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How many quads?

In this lesson students revise and extend fluency of recall of the 4× facts. Students develop proficiently in multiplying and dividing by four, understanding the patterns in multiples of four, and applying strategies for mental multiplication with an emphasis on visual and numerical pattern recognition.

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Earthquakes - Teacher Notes and Student Activities

This 85 page booklet explores earthquakes. The booklet includes the causes and types of earthquakes, how earthquakes are recorded, magnitudes of earthquakes and case studies of significant Australian earthquakes. The booklet contains a glossary, links to online resources, activity ideas and experiments for students and ...

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Make a measuring jug

Use this diagnostic task to assess a student's understanding of capacity and the calibrated scale on a measuring jug.

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Yuendumu leaf games: representing stories

In this second of three lessons, students are provided with the opportunity to play with their leaf families, and consider the many possibilities. They represent their leaf stories using pictures, numerals and symbols.

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Estimation and Rounding - Calculate

These activities focus on developing skills in estimation and rounding. Estimation can help children to make reasonable guesses at solutions and check the accuracy of their calculations.

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Investigating Decimal Numbers - Calculate

In this unit let’s investigate terminating and recurring decimals. We’ll learn how to use the correct mathematical symbols for recurring (repeating) decimals, how to convert fractions into terminating or recurring decimals and how to interpret these numbers on a calculator.

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Solving Linear Equations - Calculate

This unit of work focuses on solving linear equations. It includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas. A short quiz at the end of the AMSI Interactive will help students to test their understanding at the completion ...

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Irrational Numbers - Calculate

In this unit, let's investigate irrational numbers! We'll look at some examples of commonly used irrational numbers such as Pi (π), the 'Golden Ratio' and the natural logarithm 'e', and explore where irrational numbers have applications in the real world