F-10 Curriculum (V8)
F-10 Curriculum (V9)
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This is an interactive game that investigates probability by simulating a two-car race, in which the movements of the cars are based on the roll of a die. Cars advance when certain numbers are rolled, and the student can experiment with probability by selecting which car moves forward for a given outcome of the roll of ...
Check out this probability puzzle that requires you to weigh all the possibilities. Pick the most likely outcome when confronted with a drawer full of loose, unpaired socks! How did Eric come up with a matching pair?
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 resource is a web page containing three dice games to explore chance. Each dice game has simple instructions to play the interactive strategy game. The games provide a useful way to investigate the chance of rolling a particular number after successive trials. This resource is one activity from the NRICH collection.
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 3 is for the topic of Conduct chance experiments. Students conduct repeated chance experiments. They can identify and describe possible outcomes and record the results of the chance experiments. Students then compare results of trials and discuss the variation. It is expected that students ...
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 lesson explores the classic probability problem, commonly known as the Monty Hall problem: having chosen what you think is the winning door with the money behind it, should you swap to another door when Monty offers you the opportunity? Students will first use probability language to define the problem. Students will ...
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. ...
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 ...
Students conduct chance experiments, record data into a frequency table and represent data using a column graph.
In this lesson, students will calculate the probability of an average person scoring a shot at a basketball game at the Easter Show. They will then use these probabilities to design a payout system which can absorb the losses from an average player winning big, whilst profiting from the average player who scores very poorly, ...
This assessment includes a number of questions to enable students to demonstrate their understanding and learning in probability. Students will be asked to explore the outcomes of a set of non-transitive dice using probability tree diagrams, and discover their unique features. The assessment task is outlined in detail including ...
This lesson is designed to demonstrate the ways in which random chance can be counter-intuitive. Students will explore how assumptions made in probability can be risky and investigate how to perform precise calculations to answer probability questions. The lesson is outlined in detail including NSW curriculum links, learning ...
This is a website designed for both teachers and students that addresses probability from the Australian Curriculum for year 7 students. It contains material on the language of probability, experiments and counting, and the probability of an event, and explains the mathematical use of the terms 'random' and 'randomly'. ...
An interactive resource in which students explore, interpret and draw Venn diagrams with two attributes.
An interactive exploration of Venn diagrams with three attributes.
Interactive activities supporting students learning to describe regions of a Venn diagram.
A simple interactive simulation in which students compare probabilities.
This is a 15-page guide for teachers. It continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken. In year 8, students see that these are a special case of finding probabilities of events by summing probabilities of the disjoint (or mutually exclusive) outcomes ...