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Spot the number

Students recognise amounts to five without counting.

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Packaging

Students explore the features and properties of three-dimensional (3D) objects to identify and create nets of 3D objects.

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Change course

Students identify transformations, and rotational and line symmetry, in regular and irregular polygons, and use transformations and symmetry to make a tessellating shape.

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Fencing the yard

Students review and calculate perimeters and areas of rectangles.

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Ups and downs

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

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Snail trails

Refer to the diagnostic task for a guide on how to conduct a one-on-one interview where the student is asked to measure length by choosing an informal unit.

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Stellar navigation and mathematics

Before GPS, there were many ways to navigate, including using the stars. In this resource, students and teachers will learn about celestial positions, the azimuth and altitude to shape their understanding of traditional navigational techniques.

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Kitchen scales

Use this diagnostic task to assess a student's understanding of mass and the graduations on a kitchen scale.

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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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First steps in mathematics: Number – Book 1

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

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The coloured cube

Use this task to reveal if the student can see in their ‘mind’s eye’ the transformation from a 2D net to a 3D object.

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Number: Taking handfuls

This sequence of 6 tasks explores relationships between numbers 1 to 20 through subitising, comparison, and using 5 and 10 as benchmarks. Students organise collections and use subitisable patterns to help count the total in their collection. Students also compare their collection with a friend to see who has more and who ...

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A Little Atmosphere

This activity invites students to model the scaled thickness of the atmosphere on a globe using sheets of transparency material. The activity includes a list of tools and materials required, what to do and notice, an explanation for the underlying science of what students observe and suggestions for further activities.

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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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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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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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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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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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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. ...