Description

This presentation introduces our students to basic probability, including how to calculate it and represent it as a fraction, to John Nash’s equilibrium and recent peer-reviewed research on Rock Paper Scissors.

Suitable for

- Relief Teachers
- Parents

Lesson Structure

- Class Activity

Curriculum Codes

*Recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals *

*Recognise different types of data and explore how the same data can be represented differently depending on the purpose *

*Describe possible everyday events and the possible outcomes of chance experiments and order outcomes or events based on their likelihood of occurring; identify independent or dependent events *

*Define problems with given or co developed design criteria and by creating user stories *

*Select and use appropriate digital tools effectively to create, locate and communicate content, applying common conventions *

*Conduct repeated chance experiments to observe relationships between outcomes; identify and describe the variation in results*

*Access multiple personal accounts using unique passphrases and explain the risks of password re-use *

*Conduct repeated chance experiments and run simulations with an increasing number of trials using digital tools; compare observations with expected results and discuss the effect on variation of increasing the number of trials *

*Evaluate existing and student solutions against the design criteria and user stories and their broader community impact *

*Follow and describe algorithms involving sequencing, comparison operators (branching) and iteration *

*Generate, modify, communicate and evaluate designs *

*Explore and describe a range of digital systems and their peripherals for a variety of purposes *

*Define problems with given design criteria and by co-creating user stories *

*List the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely *

*Design algorithms involving multiple alternatives (branching) and iteration *

*Implement algorithms as visual programs involving control structures, variables and input *

*Explore transmitting different types of data between digital systems *

*Conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation *

*Design, modify and follow simple algorithms involving sequences of steps, branching, and iteration (repetition)*

*Recognise different types of data and explore how the same data can be represented in different ways*

*Identify and explore a range of digital systems with peripheral devices for different purposes, and transmit different types of data*

*Identify events where the Probability (Chance) of one will not be affected by the occurrence of the other*

*Collect, access and present different types of data using simple software to create information and solve problems*

*Implement digital solutions as simple visual programs involving branching, iteration (repetition), and user input*

*Define problems in terms of data and functional requirements drawing on previously solved problems*

*Compare observed frequencies across experiments with expected frequencies*

*Conduct Probability (Chance) experiments with both small and large numbers of trials using appropriate digital technologies*

*Define simple problems, and describe and follow a sequence of steps and decisions (algorithms) needed to solve them*

*Describe probabilities using fractions, decimals and percentages*

*Explain how student solutions and existing information systems are sustainable and meet current and future local community needs*

*Acquire, store and validate different types of data, and use a range of software to interpret and visualise data to create information*

*List outcomes of Probability (Chance) experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions*

*Conduct Probability (Chance) experiments, identify and describe possible outcomes and recognise variation in results*

*Describe possible everyday events and order their chances of occurring*

*Acquire, store and validate different types of data and use a range of software to interpret and visualise data to create information*

*Define problems in terms of data and functional requirements, drawing on previously solved problems to identify similarities*

*Describe probabilities using fractions, decimals and percentages*

*Define simple problems, and describe and follow a sequence of steps and decisions involving branching and user input (algorithms) needed to solve them*

*Design, modify and follow simple algorithms represented diagrammatically and in English, involving sequences of steps, branching, and iteration*

*Recognise different types of data and explore how the same data can be represented in different ways*

*Identify events where the chance of one will not be affected by the occurrence of the other*

*Develop digital solutions as simple visual programs*

*Explore a range of digital systems with peripheral devices for different purposes, and transmit different types of data*

*Compare observed frequencies across experiments with expected frequencies*

*Explain how student-developed solutions and existing information systems meet current and future community and sustainability needs*

*Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies*

*List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions*

*Conduct chance experiments, identify and describe possible outcomes and recognise variation in results*

*Identify everyday events where one cannot happen if the other happens*

*Uses appropriate terminology to describe, and symbols to represent, mathematical ideas*

*Checks the accuracy of a statement and explains the reasoning used*

*Describes and compares chance events in social and experimental contexts*

*Explains how digital systems represent data, connect together to form networks and transmit data*

*Defines problems, and designs, modifies and follows algorithms to develop solutions*

*Plans and uses materials, tools and equipment to develop solutions for a need or opportunity*

*Questions, plans and conducts scientific investigations, collects and summarises data and communicates using scientific representations*

*Describes how digital systems represent and transmit data*

*Defines problems, describes and follows algorithms to develop solutions*

*Selects and uses materials, tools and equipment to develop solutions for a need or opportunity*

*Gives a valid reason for supporting one possible solution over another*

*Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions*

*Conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes*

*Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations*

*Conducts chance experiments and quantifies the probability*

*Records and compares the results of chance experiments*

Linked Resources & Worksheets