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Volume and surface area: prisms: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Volume and surface area: prisms. Students solve problems involving the surface area and volume of right prisms.

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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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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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Lucky lottery

In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

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Integers, Indices and Scientific Notation - Calculate

In this unit let’s apply index laws to mathematical expressions with integer indices! We’ll learn to express large and small numbers using scientific notation, enter and read scientific notation on a calculator and use index laws to make checks for number accuracy.

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Irrational Numbers - Calculate

In this unit, let's investigate irrational numbers! We'll look at some examples of commonly used irrational numbers such as Pi (Ï€), the 'Golden Ratio' and the natural logarithm 'e', and explore where irrational numbers have applications in the real world

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Work sample Year 9 Mathematics: Similar triangles

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 9 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Linear Relationships (and how Maths can help you choose a great car) - Calculate

The activity has students collecting their own information from a well-known Australia car buying website and using this to find an estimated relationship between the ‘asking price’ for a used car and the distance it has traveled in kilometres.

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Zombies and network models

In this lesson, students explore the use of network diagrams to represent connections, then apply a network-based COVID transmission simulation to hypothesise how a virus might spread through a small population.

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Proportion, Graphs and Equations - Calculate

This unit challenges students to identify and describe everyday examples of ‘direct’ and ‘indirect’ proportion. They learn to recognise direct and inverse proportion from graphs, distinguish between positive and negative gradients and use the equation y = kx to model direct linear proportion.

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Voronoi Diagrams - Calculate

This unit of work explores coordinate geometry in the context of Voronoi diagrams. Students use linear coordinate geometry to construct Voronoi diagrams by finding the gradient of a line segment, then finding the midpoint, a perpendicular line and finally the perpendicular bisector.

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Work sample Year 9 Mathematics: Cylinder volume

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 9 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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The Mathematics of Projectiles - Calculate

This activity provides a practical introduction to the motion of projectiles with a focus on angles. It is designed as a lead in to parabolic and quadratic functions.

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Reconciliation progress

Students explore the notion of reconciliation in Australia analysing a report – Reconciliation Australia’s Australian Reconciliation Barometer to answer an inquiry question for their statistical investigation.

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Factorising Quadratics and Solving - Calculate

This activity explores the properties of the family of functions and their graphs known as parabolas. The unit includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas to take their understanding further. A short quiz at the end ...

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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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Transformation: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Transformation. Students explore and develop their understanding of the enlargement transformation using dynamic geometry software. They will investigate what changes and what remains the same when a shape or object is enlarged. Students will look for patterns in the ...

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Number sequence: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Number sequence. Students work with the real number system and recognise both rational and irrational numbers when working on a variety of mathematical problems. Students are fluent with integer arithmetic, fractions, decimals and now further their skills, applying them ...

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Represent collected data: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Represent collected data. Students are familiar with different types of visualisations of data and variables and can evaluate and interpret data displays. Students can label data as categorical (ordinal or nominal) or numerical (discrete or continuous) and consider which ...

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Possible outcomes: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Possible outcomes. Students are familiar with the language and concepts behind probability and possible outcomes. From here students focus their learning on using systematic approaches for various types of compound events before assigning probabilities to more complicated ...