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Pythagoras and trigonometry (Space): Year 9 – planning tool

This planning resource for Year 9 is for the topic of Pythagoras and trigonometry. Students develop and use their understanding of the relationship between the corresponding sides of similar right-angled triangles.

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Pythagoras and trigonometry (Measurement): Year 9 – planning tool

This planning resource for Year 9 is for the topic of Pythagoras and trigonometry. Students apply and build upon knowledge of Pythagoras’ theorem, angle properties, trigonometry and scales to solve problems involving right-angled triangles.

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Algorithms: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Algorithms. Students draw upon their knowledge of congruency, transformations and ratios of right-angled triangles and apply creativity, critical thinking and reasoning skills to a sequenced geometric problem. For example, students may design a flow chart to prove the ...

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Probability calculations: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Probability calculations. Students build on their knowledge of probability, Venn diagrams, two-way tables and the terms ‘and’ and ‘or’ (inclusive or exclusive) in relation to events whereby relative frequencies may be calculated.

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How long does it take?

Students describe, compare and order the duration of events. They investigate the length of a day and sequence the different phases that occur within this time period.

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Desk through the doorway

Use this diagnostic task in the style of a one-on-one interview to assess a student's understanding and skills in comparing length.

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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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My drink bottle

Students compare the spaces within containers.

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Pattern hunt

Students copy, describe and continue simple repeating patterns.

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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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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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Spot the number

Students recognise amounts to five without counting.

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Guess where

Students describe the location of objects by indicating positions.

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The humanoid project

Students explore a large data set.

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Which tin?

Use this diagnostic task in the style of a one-on-one interview to assess a student's knowledge and understanding of an object's properties, and their use of comparative language.

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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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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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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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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 ...