F-10 Curriculum (V8)
F-10 Curriculum (V9)
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This is a web resource that includes four student activities focusing on chance and the language associated with chance events, accompanied by activity sheets and a detailed teacher guide for each activity. The activities cover words associated with chance and likelihood, fairness, luck and superstitions, and ordering chance ...
In this lesson, students will explore how bookmakers set odds, and how these odds are carefully determined in order to guarantee the bookmaker the best chance of making a profit. Students learn how to convert between odds and probabilities and calculate the expected profit or loss based on odds. The lesson is outlined in ...
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 ...
This is a teacher resource for the binomial distribution consisting of a website and a PDF with identical content. It contains discussion of Bernoulli trials and the mean and variance of the binomial distribution. It provides examples of where the binomial distribution is applicable.
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.
In this lesson, students calculate the average expected value of losses on a roulette wheel over time, and use these values to analyse the cost of gambling on these games. They also study the flaws inherent in betting systems to determine whether these systems are weighted in the favour of game operators making a profit. ...
At first glance, maths and magic might not appear to have much in common, but did you know that you can use maths and logic to come up with solutions to problems that can seem magical? Learn one such maths trick in this video from ABC Catalyst. What is the probability of the letter not being 'e'?
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 ...
Mathematician Lily Serna visits Luna Park to explain a great probability pitfall. She shares a century-old tale from Monte Carlo casino, and then she puts its lesson to the test. If you flip a coin and it lands on heads three times in a row, what result would you predict for the next flip? Find out why intuition might land ...
Students calculate the sum of probabilities for a chance experiment and compare frequency predictions with actual data.
Students recognise and describe variations in results and conduct a simple experiment with spinners.
A simple interactive simulation in which students compare probabilities.
This planning resource for Year 8 is for the topic of Conduct chance experiments. Students draw on what they have learnt about probabilities related to compound events and apply this knowledge in a variety of experiments. The use of digital tools and simulations allow for repeated practice of compound events and help to ...
What is the chance for Flynn and Dodly that it will rain at the beach? Dodly takes his umbrella and gumboots just in case it rains, and his scarf and gloves in case it gets cold. Explore the language of chance with the two monsters. What is the chance Dodly will pick a blue lolly out of the bag of four lollies?
This is an interactive resource that enables students to conduct virtual probability experiments using a spinner or a pair of dice. The student can manipulate the relative sizes of the different coloured segments of the spinner or the numbers on the faces of the dice to investigate the effect of these changes on probability. ...
Find out how to win at rock-paper-scissors using game theory. According to this theory, how should you decide on your next move when you play multiple rounds? See if you can apply this theory in multiple rounds of rock-paper-scissors with someone. Did you win? |Why would this theory be useful in economics?
This is a teacher resource for inference of proportions consisting of a website and a PDF with identical content. It contains discussion of how probability is used in statistical inference, the sample proportion as an estimator, the sample proportion as a random variable, population parameters and sample estimates, and ...
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 ...
This is a website designed for both teachers and students in year 5, and addresses components of the probability topic. It is particularly relevant for discussing chance experiments where the probability of events is equally likely and for describing those events using fractions. There are pages for both teachers and students. ...
In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...