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Ups and downs

Students position positive and negative whole numbers on a number line.

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Loaded dice

Students conduct chance experiments, record data into a frequency table and represent data using a column graph.

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Chances are!

Students calculate the sum of probabilities for a chance experiment and compare frequency predictions with actual data.

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How many clumps?

This series of lessons develops students' skills, knowledge and processes of multiplicative thinking, incoporating a First Nations perspective.

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Supersize it

Students transform and enlarge shapes using a grid.

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The teen game

Students use standard place-value partitioning to represent 'teen' numbers.

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digIT Python workbook

This workbook provides an introduction to learning the main scripted language Python. It provides introductory information on learning Python using online resources such as Grok Learning and Trinket and how to get started in the world of competitive programming.

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Water communicators

In this activity, students discuss what it would be like to have no water and how they can save water to prevent this happening. They take a tour of the different locations around the school where water is used and take photographs of students demonstrating ways to save water at that location. They use the photographs to ...

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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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Two-up - The fairest game of all?

In this lesson, students look at the history and mathematics of Two-Up, exploring why it is considered such a fair game, and how the ‘boxer’ or game runner makes a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials required, links to supporting videos ...

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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: 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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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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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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What’s the cost?

This lesson explores gambling losses by comparing losses to other average household purchases. Students then explore how this money could be more profitably invested in a compound interest scheme over time. Finally, students are asked to critically reflect on the true social and financial cost of gambling and to consider ...

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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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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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Can you beat the system?

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. ...

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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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Phonics Check user manual: Phonics Check delivery

This technical user manual provides school administrators and teachers with instructions when using the online platform to deliver the Year 1 Phonics Check. The Year 1 Phonics Check is a free 7-minute assessment to assess students' decoding skills across words of increasing complexity.