F-10 Curriculum (V8)
F-10 Curriculum (V9)
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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 lesson explores how we perceive randomness. Students toss coins and record their observations while half of the class fake their results. They will then explore the differences between the random results and fake results sets and investigate theoretical probabilities for large numbers of coin flips. The lesson is outlined ...
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. ...
Students calculate the probability for single-step events using sample spaces.
This planning resource for Year 7 is for the topic of Possible outcomes. Students represent the probability of an event occurring on a scale of zero to one as decimals, fractions or percentages.
This planning resource for Year 6 is for the topic of Conduct chance experiments. Students predict the frequency of an outcome of repeated chance experiments. They conduct simulations using digital tools to generate and record the outcomes, and observe the effect of many trials on the outcome. They then compare observed ...
This planning resource for Year 7 is for the topic of Conduct chance experiments. Students predict the frequency of an outcome of repeated chance experiments. They conduct simulations using digital tools to generate and record the outcomes, and observe the effect of many trials on the outcome. They then compare observed ...
Students conduct chance experiments, record data into a frequency table and represent data using a column graph.
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 ...
Interactive activities supporting students learning to describe regions of a Venn diagram.
An interactive resource in which students explore, interpret and draw Venn diagrams with two attributes.
An interactive exploration of the relationship between Venn diagrams and Two-way tables.
In this introductory activity students use a simple thumb-wrestling tournament to analyse a series of matches in which there can only be one victor. Students work in small groups to explore different ways of mapping out the events of a tournament, introducing the concept of constructing sample spaces and tree diagrams as ...
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 ...
This is a 22-page guide for teachers. The module provides an introduction to set notation and demonstrates its use in logic, probability and functions.
Worked examples and guided exercises to assist students learning to use Venn diagrams as an organiser for solving mathematical problems.
An interactive exploration of Venn diagrams with three attributes.
Do you know what chance is? It's the probability or the likelihood of something happening. Watch this video as Grace explains the probability of picking a red marble out of a bowl. What's the probability of picking a green marble?
What is the probability there are at least two people in your class who have the same birthday? If you have at least 23 people in your class, the chances are good. Find out the maths behind this theory.
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.