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Line of symmetry

Students identify and draw the lines of symmetry by folding 2D shapes.

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First steps in Mathematics: Space – Diagnostic tasks

A collection of diagnostic tasks designed to use with students to assess their understanding of space-related concepts in mathematics.

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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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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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Leaf task

Use this diagnostic task to assess understanding of area and measuring the area of an irregular shape.

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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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Spending the lotto millions!

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

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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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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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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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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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Mathematics of bushfire

In these classroom activities students will be introduced to some of the basic mathematical principles that underpin wildfire science, with an emphasis on how theoretical concepts are used to aid our understanding of the real world, and bushfire in particular. They will learn about the complexities of the fire management ...

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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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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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Multiplying two-digit numbers using the area model - Calculate

This resources describes some games and activities that can be used to help students to learn strategies to solve multi-digit multiplication problems, including using the area model.