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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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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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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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First steps in mathematics: Measurement – Book 1

The content of this book is organised into topics including understanding units, and direct measuring.

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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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Categorisation

Use this task to assess students’ knowledge and understanding of properties of shapes, and language they use when describing common features.

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Diagnostic task: Volume of prisms

Use these diagnostic tasks, Volume of prisms (1) and Volume of prisms (2), to assess a student’s understanding of working out the volume of rectangular prisms and a formula for volume.

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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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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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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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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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Addition and Subtraction - Calculate

This game focuses on addition, subtraction and estimation. It can be played many times as the totals will often be different and the focus of the mathematics can change. There is a video included to help with how to play the game.

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Linear Algebra Year 7 - Calculate

The focus of this activity is to find out what students know about linear equations and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?

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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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Pattern Blocks - Calculate

This activity uses pattern blocks to explore patterns and the relationship between numbers. Students use the blocks to create and describe other shapes and since the blocks are relational they can be used for other investigations. For example, turn the blocks into units – if the triangle is one what is the value of the hexagon?

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How Full Is a Bucket? - Calculate

This team-based game challenges students to use metric units of volume and to make capacity estimates for various containers.

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Café Fractions - Calculate

In this task, students take the role of the owner of a cake wholesaler, baking and supplying cakes to local café businesses. As café owners order their weekly cakes by the slice, students are required to add unit fractions together to calculate total cake orders. They then solve problems associated with subtracting fractional ...

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Salute - Calculate

This game gives students opportunities to practise addition and subtraction strategies and develop algebraic thinking by finding unknown values in additive equations.

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When I post something online how permanent is it?

Students engage in a photo rip up activity to emphasize the permanency of online information, they explore factor trees, doubling and line graphs through the lens of sharing information, and they collaboratively develop a set of protocols around sharing information online.

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Addition and subtraction: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Addition and subtraction. Students compare, order and solve problems involving addition and subtraction of integers.