F-10 Curriculum (V8)
F-10 Curriculum (V9)
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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. ...
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. ...
This is a teacher resource for random sampling consisting of a website and a PDF with identical content. All of the topics in probability and statistics in the Australian Curriculum: Mathematics require an understanding of random sampling. The content of the resource enables teachers to become familiar with random sampling ...
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.
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. ...
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 ...
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 ...
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. ...
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 ...
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 ...
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 ...
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 ...
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.
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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.