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Pythagoras and trigonometry: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Pythagoras and trigonometry. Students are introduced to Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles.

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Circles and cylinders: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Circles and cylinders. Students recall and revise circumference, radius and diameter from Year 7. They understand the relationships between these measures and can use relevant formulae to solve problems.

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Area and perimeter: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Area and perimeter. Students build on their knowledge of the area and perimeter of rectangles, parallelograms and triangles to rhombi, kites and trapezia. They identify and use the formulae for these to solve problems.

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Graphs: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Graphs. Students explore linear relationships in the context of the Cartesian plane using digital tools. Students will then go on to find the rule for a linear relationship and solve linear equations, both graphically and algebraically.

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Number sequence: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Number sequence. Students are introduced to real numbers and irrational numbers. Take time to explain the real number system so that students understand that irrational numbers are part of the real number group.

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Mathematical modelling: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts. They formulate the problem, choose operations and efficient calculation strategies, and use digital ...

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Shooting 3-pointers: Part 2

In this lesson, students conduct a statistical investigation, collecting and analysing data using percentages, and choosing efficient calculations and strategies. The investigation is communicated visually and verbally to the teacher and peers. Students reflect on feedback and consider revisions for the investigation.

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Skateboard skills

Students identify the components and properties of angles.

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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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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: 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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How heavy is this frog/tin?

Use this diagnostic task to assess understanding of mass and units used to measure mass.

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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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Chances are!

Students calculate the sum of probabilities for a chance experiment and compare frequency predictions with actual data.

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Supersize it

Students transform and enlarge shapes using a grid.

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One word changes it all

Exploring the meaning of 'and' and 'or' in probability.

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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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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. ...

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Packaging

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