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TIMES Module 7: Statistics and Probability: data investigation and interpretation, year 9 - teacher guide

This is a 26-page guide for teachers. In year 8, students developed an understanding of the nature of censuses, surveys and observational studies. Year 9 develops this understanding further, and introduces examples of experimental investigations with an emphasis on random allocation of the combinations of experimental conditions. ...

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Inference for means

This is a teacher resource for inference for means consisting of a website and a PDF with identical content. It contains a discussion of the sample mean as a point estimate of the population mean, sampling from symmetric distributions, sampling from assymetric distributions, the central limit theorem and confidence intervals.

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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 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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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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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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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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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 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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Countries of birth

This is a web resource that includes four student activities about data interpretation, accompanied by a teacher guide for each activity. Activities include investigating changes in country of birth by collecting and displaying data from students, their parents and grandparents and comparing the 1901 and 2006 Australian ...

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Sampling from a population

This is a website designed for both teachers and students that refers to sampling from a population and taking a census from the Australian Curriculum for year 8 students. It contains material on cross-sections of sampling and how the means and proportions of samples vary. There are pages for both teachers and students. ...

Interactive

Sites2See: Spreadsheets for mathematics

A page with example resources, exemplars and advice to help integrate spreadsheet use in teaching and learning for mathematics. Includes suggestions for use, tutorials and information on research and benefits, plus links to a range of related resources, including a teacher guide for using Microsoft Excel in the classroom. ...

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ABS Stats (iOS App)

This is an app that provides ABS data at your fingertips. There are three sections to this app: Key Indicators (including economic indicators and population estimates), Census data (2011 information and facts related to people, families and dwellings) and Population (a population clock which displays the current population ...

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reSolve: Statistics - The Taste of Water

This lesson introduces students to informally conducting experiments to test hypotheses. Students test whether they can taste the difference between tap and bottled water by collecting and interrogating experimental data. They then compare their findings with the likelihood of their findings being obtained by chance. The ...

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reSolve: Probability - Rock Paper Scissors

In this sequence of two lessons, students determine their chances of winning the game 'rock paper scissors', then test their chances by playing against another player and in a simulated game. Students look at the psychological aspect of the game and recognise that there is a strategy to increase your chance of winning. ...

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reSolve: Probability

This sequence of four lessons explores probability in real world situations including advertising, games and population sampling. Students calculate probabilities, represent probabilities as fractions, decimals and percentages, perform chance experiments with small and large sample sizes and graph their results, examine ...

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Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...

Interactive

The slushy sludger: questions

Use a vending machine to squirt coloured 'slushies' into ice-cream cones. Work out which 'sludge events' are possible and then choose a matching probability word.

Interactive

Spinners: explore

Test a coloured spinner (dial with pointer) with three equal-sized sectors. Use a tool to build more spinners. Choose up to twelve equal-sized sectors. Choose one of three colours for each part of a spinner. For example, make a three-colour spinner with six red sectors, four yellow sectors and two orange sectors. Test the ...