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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 8 Mathematics: Random selection

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 8 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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8N03A Percentages - Ochre Education

This unit of work focuses on percentages. Students practice writing one number as a percentage of another, including in financial applications; finding a percentage of a number, and finding the original amount that a percentage was of, given the result, including in financial applications; establish and use multipliers ...

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The maths behind RGB images

In this lesson, students explore the RGB (Red, Green, Blue) colour model commonly used in digital imaging and display systems. They learn how each colour in the RGB model is represented by 8 bits and understand why there are 256 color intensities for each channel. Students will represent the 8 bits using their mathematical ...

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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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Understanding compound interest

In this lesson students learn how compound interest works. They explore the difference between simple interest and compound interest, apply compund interest to saving scenarios and calculate the outcomes from different deposit plans with compund interest applied. They then go on to consider the impact of compound interest ...

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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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Volume and surface area: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Volume and surface area. Students further develop their understanding of volume and capacity of right prisms by developing formulas, taking measurements and investigating, making approximations and solving problems in many contexts.

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Statistical analysis: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Statistical analysis. Students have knowledge of various representations of data and can now extend this to comparison. Students compare many data sets of numerical variables to make comparisons using appropriate mathematical vocabulary. Students consider the shape and ...

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Position and location: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Position and location. Students work with 3D objects that can be located on the x, y, z planes, allowing students to extend their thinking away from flat objects on a 2D plane, to objects with volume that have a position in space with (x, y, z) coordinates. Students ...

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Time and duration: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Time and duration. Students should be familiar with the concept of time as a measurement that determines how long it takes to get somewhere or how long it takes to complete something. They should also be familiar with the vocabulary seconds, minutes, hours, days, weeks, ...

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Mathematical modelling (Algebra): Year 8 – planning tool

This planning resource for Year 8 is for the topic of Mathematical modelling. Students model linear relationships to solve real-world applications that they can relate to, such as financial contexts (for example, pay rates for part-time work) or measurements (for example, cooking, constant speed and distance/time graphs, ...

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Factors, multiples, primes: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Factors and multiples. Students extend the exponent laws of numerical calculations involving positive integers and zero exponents, and solve a broad range of practical problems, using mental methods, written algorithms, and digital tools.

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Interpret and discuss data displays: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Interpret and discuss data displays. Students will be presented with various digital media to investigate and evaluate findings from reports of surveys. Students will make informative decisions based on their prior knowledge of sampling and data collection to make judgements ...

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Finding the shortest path

In this lesson, students will experiment with different ways of creating a path between two points with algorithm design and generalizing patterns. From the patterns, they will be able to generate an algorithm for efficiently traveling through cities in a region.

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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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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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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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The wide wide world of sports betting

This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

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How many in the queue?

Students use visualising and movement activities to develop an understanding of the relationship between variables.