STEAM Unit: Game Theories
3 4 5 6 Primary + Unit Plans STEAM Unit Plans Probability (Chance) Technologies STEAM 8 Pages

STEAM Unit: Game Theories

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.

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Learning goals

  • We are learning to identify and describe possible outcomes by conducting chance experiments.
  • We are learning to identify and describe possible outcomes by conducting chance experiments.
  • We are learning to describe possible everyday events, order their chances of occurring and determine independent or dependent events.
  • We are learning to identify events where the chance of one will not be affected by the occurrence of the other.
  • We are learning to identify and describe possible outcomes by conducting chance experiments and compare equally likely, e.g. names drawn randomly from a hat and not equally likely outcomes, e.g. bag of marbles containing 6 red and 2 blue.
  • We are learning to identify and describe possible outcomes by conducting chance experiments and represent probabilities of these using fractions.
  • We are learning to recognise that the probability of an event occurring can be represented using a scale of 0 – 1 or 0% - 100% to estimate chances of events.
  • We are learning to describe probabilities using fractions, decimals and percentages.
  • We are learning to conduct chance experiments to observe relationships between outcomes, identify and describe the variation in results.
  • We are learning to conduct chance experiments with an increasing number of trials and compare the relative frequency of an outcome.
  • We are learning to conduct chance experiments with both small and large numbers of trials.
  • We are learning to compare frequencies (likely outcomes) across experiments and to unexpected results.
  • We are learning to explore and describe a range of digital systems and their peripherals for different purposes.
  • We are learning to identify and explore a range of digital systems with peripheral devices for different purposes and transmit different types of data.
  • We are learning to recognise different types of data and how the same data can be represented differently depending on the purpose.
  • We are learning to recognise different types of data and explore how the same data can be represented in different ways.
  • We are learning to explore how to transmit different types of data between digital systems.
  • We are learning to collect, access and present different types of data using simple software to create information and solve problems.
  • We are learning to define problems using design criteria and by co-creating user stories.
  • We are learning to follow and describe algorithms involving sequencing, comparison operators (branching) and iteration.
  • We are learning to define simple problems and describe and follow a sequence of steps and decisions (algorithms) needed to solve them.
  • We are learning to select and use appropriate digital tools effectively to create, locate and communicate content.
  • We are learning to acquire, store and validate different types of data and use a range of software to interpret and visualise data to create information.
  • We are learning to define problems by creating user stories.
  • We are learning to generate, modify, communicate and evaluate designs.
  • We are learning to define problems in terms of data and functional requirements, drawing on previously solved problems.
  • We are learning to design algorithms involving multiple branching and iteration.
  • We are learning to design, modify and follow simple algorithms involving sequences of steps, branching and iteration (repetition).
  • We are learning to implement algorithms as visual programs involving control structures, variables and input.
  • We are learning to implement digital solutions as simple visual programs involving branching, iteration (repetition) and user input.
  • We are learning to evaluate solutions against design criteria, user stories and their broader community impact.
  • We are learning to access multiple personal accounts using unique passphrases and explain the risks of password re-use.
  • We are learning to explain how student solutions and existing information systems are sustainable and meet current and future local community needs.

Curriculum alignment

AC9TDI6P06 9

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

AC9TDI6P07 9

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

AC9TDI6P09 9

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

AC9TDI6P01 9

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

AC9TDI4P02 9

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

AC9TDI6P05 9

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

AC9TDI4P01 9

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

AC9TDI4K02 9

Explore transmitting different types of data between digital systems

AC9M3P02 9 Conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation AC9TDI4K03 9

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

AC9TDI6P02 9

Design algorithms involving multiple alternatives (branching) and iteration

AC9TDI6P04 9

Generate, modify, communicate and evaluate designs

AC9TDI4K01 9

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

AC9M4P01 9 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 AC9M6P02 9 Conductβ€―repeatedβ€―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 AC9M5P01 9 List the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely AC9M6P01 9 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 AC9M4P02 9 Conduct repeated chance experiments to observe relationships between outcomes; identify and describe the variation in results ACMSP116 8.4 List outcomes of Probability (Chance) experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions ACMSP067 8.4 Conduct Probability (Chance) experiments, identify and describe possible outcomes and recognise variation in results ACTDIP021 8.4

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

ACTDIP020 8.4

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

ACTDIP019 8.4

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

ACTDIP017 8.4

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

ACMSP094 8.4 Identify events where the Probability (Chance) of one will not be affected by the occurrence of the other ACTDIP016 8.4

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

ACTDIP010 8.4

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

ACMSP146 8.4 Compare observed frequencies across experiments with expected frequencies ACMSP145 8.4 Conduct Probability (Chance) experiments with both small and large numbers of trials using appropriate digital technologies ACTDIK007 8.4

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

ACTDIP009 8.4

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

ACTDIK008 8.4

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

ACMSP144 8.4 Describe probabilities using fractions, decimals and percentages
MA3-19SP old Conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes ST2-2DP-T old Selects and uses materials, tools and equipment to develop solutions for a need or opportunity ST2-3DP-T old Defines problems, describes and follows algorithms to develop solutions ST2-11DI-T old Describes how digital systems represent and transmit data ST2-1WS-S old Questions, plans and conducts scientific investigations, collects and summarises data and communicates using scientific representations MA3-3WM old Gives a valid reason for supporting one possible solution over another MA3-2WM old Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations ST3-2DP-T old Plans and uses materials, tools and equipment to develop solutions for a need or opportunity ST3-3DP-T old Defines problems, and designs, modifies and follows algorithms to develop solutions MA3-1WM old Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions ST3-11DI-T old Explains how digital systems represent data, connect together to form networks and transmit data MA2-1WM old Uses appropriate terminology to describe, and symbols to represent, mathematical ideas MA2-3WM old Checks the accuracy of a statement and explains the reasoning used MA2-19SP old Describes and compares chance events in social and experimental contexts MA2-CHAN-01 new Records and compares the results of chance experiments MA3-CHAN-01 new Conducts chance experiments and quantifies the probability
VCMSP177 Identify events where the chance of one will not be affected by the occurrence of the other VCMSP147 Conduct chance experiments, identify and describe possible outcomes and recognise variation in results VCDTCD034 Explain how student-developed solutions and existing information systems meet current and future community and sustainability needs VCMSP175 Describe possible everyday events and order their chances of occurring VCMSP234 Compare observed frequencies across experiments with expected frequencies VCDTCD033 Develop digital solutions as simple visual programs VCMSP176 Identify everyday events where one cannot happen if the other happens VCDTDI020 Recognise different types of data and explore how the same data can be represented in different ways VCDTCD032 Design, modify and follow simple algorithms represented diagrammatically and in English, involving sequences of steps, branching, and iteration VCDTDI021 Collect, access and present different types of data using simple software to create information and solve problems VCDTCD030 Define problems in terms of data and functional requirements, drawing on previously solved problems to identify similarities VCMSP233 Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies VCMSP203 List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions VCDTDS019 Explore a range of digital systems with peripheral devices for different purposes, and transmit different types of data VCDTCD023 Define simple problems, and describe and follow a sequence of steps and decisions involving branching and user input (algorithms) needed to solve them VCDTDI028 Acquire, store and validate different types of data and use a range of software to interpret and visualise data to create information VCMSP232 Describe probabilities using fractions, decimals and percentages

Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.

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