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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.

Online

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.

Online

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. ...

Online

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 ...

Video

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.

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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 ...

Online

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 ...

Video

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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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 ...

Video

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 ...

Online

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 ...

Online

Trade and Investment at a Glance

Using an illustrated report from the Department of Foreign Affairs and Trade, this Teacher guide provides ten learning sequences that engage students in the analysis and interpretation of data about Australian imports and exports. Students: identify Australia's major exports and imports; investigate international trade ...

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. ...

Online

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 ...

Online

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 ...

Online

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. ...

Interactive

The foul food maker: questions 1

Use a vending machine to get an awful meal such as fly soup, worm pasta or yucky duck. The machine serves a meal randomly from four slots. Work out the likelihood of getting each type of meal. Then choose a matching probability word: impossible, unlikely, equal, likely or certain. Run simple probability experiments. Compare ...

Interactive

Mystery spinner: challenge

Look at results in a frequency graph compiled after testing an unseen spinner. Work out the likely proportions of colours in the mystery spinner. Use a tool to build a new spinner (a dial with a pointer). Choose up to five equal-sized sectors. Fill the sectors with up to five colours. For example, make a five-part spinner ...

Interactive

Leisure survey

Explore how kids use their leisure time. Choose questions to ask in a survey. For example, look at the percentages of kids that play tennis, basketball or netball. Examine a table of results. Sort the data and use it to answer questions. Display the results using a suitable type of graph such as a pie chart, bar graph or ...