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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

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Operations: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Spending the lotto millions!

Students apply standard and non-standard place value partitioning to seven-digit numbers.

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Act it out

Students revise and extend the recall of 10x. They describe and continue patterns created from multiplication, and solve multiplication and division problems.

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Assessment tasks: metric units and relationship to decimals

Use the diagnostic tasks, Page sections and Decimals and measures, to assess a student’s understanding of metric units and their relationship to decimals.

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Ice cream puddles

Use this diagnostic task to assess understanding of area and comparing the area of two shapes using a relevant approach.

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The school delivery

Use this task to assess language the student uses to describe position, direction and pathways in familiar environments.

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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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Easter Show games of chance

In this lesson, students will calculate the probability of an average person scoring a shot at a basketball game at the Easter Show. They will then use these probabilities to design a payout system which can absorb the losses from an average player winning big, whilst profiting from the average player who scores very poorly, ...

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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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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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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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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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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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Fencing the yard

Students review and calculate perimeters and areas of rectangles.

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The teen game

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

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The humanoid project

Students explore a large data set.

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Lucky dip

Students conduct chance experiments and play chance-related games to generate data, which they represent and interpret.