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Conduct chance experiments: Year 10 – planning tool

This planning resource for Year 10 is for the topic of Conduct chance experiments. Students design and conduct chance experiments relating to conditional probability using digital simulation tools to conduct multiple trials. Students are expected to interpret problems and describe their interpretations.

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Interpret and discuss data displays: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Interpret and discuss data displays. Students collect data to create a sample. Students consider whether the data is coming from direct or primary sources or is derived from secondary data.

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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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Shooting 3-pointers: Part 1

In this lesson students are guided through solving a problem using mathematical modelling. Students are guided through the process of formulating a problem that can be solved using a mathematical modelling approach. A professional sporting context allows students to engage in a common basketball scoring move: shooting ...

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Conduct statistical investigations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Conduct statistical investigations. Student bring together their learnings and plan a statistical investigation using known data or by conducting statistical data collection themselves. Students identify potential data collection and analysis from available data sets ...

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Collect, sort and compare data: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Collect, sort and compare data. Students examine different techniques for collecting types of data and begin to consider the challenges of collecting representative data by sampling a population.

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Possible outcomes: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Possible outcomes. Students are introduced to more complex probability concepts, terminology and visual representations. These concepts may be challenging for students to comprehend and will need multiple examples incorporating relevant teaching strategies.

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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 ...

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Statistical analysis: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Statistical analysis. Students focus on understanding that random samples chosen from large populations can show quite different distributions and proportions when compared with each other. Students make connections when different sample sizes are or can be responsible ...

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Can you guess the weight of Uluru?

What is the "wisdom of a crowd"? Mathematician Lily Serna investigates a mathematical phenomenon that suggests that if you have a large enough crowd, with a broad variety of people making estimates, then the mean (average) answer of the crowd will be accurate! Find out if a crowd can guess the weight of Uluru from the ground ...

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Catalyst: Probability and the birthday paradox

Even when a maths problem seems simple – for example, the chance of two people sharing a birthday – the maths can run counter to our human intuition. Mathematician Lily Serna poses a maths problem to the Clovelly Bowling Club: how many people do you need to gather to get a 50 per cent chance of any two people in that group ...

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Big data, better hospitals

Overcrowding in hospitals is one of the biggest challenges facing our healthcare system . In order to reduce hospital waiting times, the Patient Admission Prediction Tool (PAPT) uses historical data to predict how many patients, and with what kinds of injuries, are expected to arrive at the emergency department each day ...

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reSolve: Sports Salaries

This sequence of two lessons explores data sampling methods and measures of spread applied to a real world context of sporting teams. Students explore variation in the salaries of NBA players using real world data. They calculate means and medians, draw graphs, compare findings, and investigate the implications of obtaining ...

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reSolve: Probability - Forensic Investigations

This lesson investigates real-world applications of probability. Students examine real-world case studies of probability being applied in misleading ways. They assess and explain the flaws in the mathematical methodology used. There is also an emphasis on accurate and inaccurate ways of communicating mathematical concepts ...

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Taking ocean samples

This is a colour photograph of marine scientist Dr Candida Savage taking samples from the ocean off Stewart Island, New Zealand. In the image, Dr Savage appears to be placing samples into microtubes and placing the microtubes into a microtube storage container. Dr Savage is sitting on a jetty by the ocean.

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reSolve: Algebra: Tens and Units

This sequence of lessons aims to develop understanding of algebra as generalised arithmetic. Students learn to express 2- and 3-digit numbers in a general form and use this to explain results of arithmetic operations involving numbers with their digits reversed. The task links the ideas of place value with algebraic reasoning. ...

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Can you find your eight’s optimal training regime?

This resource is a web page containing an interactive resource to investigate the effect on a time trial or race after changes to a training regime. This is a useful resource to discuss how to conduct a fair test and get reliable data. Record results from trials in a table to analyse results. This resource is an activity ...

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The Sydney Metro rail project – Stage 5

This inquiry-based unit of work was created, trialled and peer reviewed as part of a professional learning program in inquiry-based learning for school teachers. The professional learning courses were part of a pilot partnership between the NSW Government’s Sydney Metro transport agency and Western Sydney University. The ...

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Sustainable agriculture: agri-environmental indicators

This is a web resource that provides a database of agri-environmental indicators for environmental performance of agriculture in OECD countries between 1990 and 2008. The data table can be customised, with options to view by country or by theme: land, energy, air, nutrients, soil, biodiversity, pesticides, water, farm management ...

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Can We Help Same birthday whats the chance video

Mathematician Adam Spencer answers a question about something called the 'birthday paradox'. Find out what this has to do with birthdays and the number of people in a room.