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# Game Theories - Presentation

Description

This STEM activity is an introduction to strategic thinking for students, while at the same time, it consolidates their understanding of data, and probability while playing games of Rock, Paper, Scissors.
Your students will push their problem solving to the limit, and you will have the opportunity to assess a number of tricky ACARA codes along the way.
There are multiple ways to complete this activity depending on the ability levels in your classroom, and the time you have available.

Suitable for
• Relief Teachers
• Parents
Lesson Structure
• Individual Activity
• Rotations / Group Work
• Class Activity
Curriculum Codes

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

AC9TDI4K03 9

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

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

AC9TDI6P01 9

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

AC9TDI6P07 9

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

AC9M4P02 9

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

AC9TDI6P09 9

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

AC9M6P02 9

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

AC9TDI6P06 9

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

AC9TDI4P02 9

Follow and describe algorithms involving sequencing, comparison operators (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

AC9TDI4P01 9

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

AC9M5P01 9

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

AC9TDI6P02 9

Design algorithms involving multiple alternatives (branching) and iteration

AC9TDI6P05 9

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

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

ACTDIP019 8.4

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

ACTDIK008 8.4

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

ACTDIK007 8.4

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

ACMSP094 8.4

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

ACTDIP009 8.4

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

ACTDIP020 8.4

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

ACTDIP017 8.4

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

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

ACTDIP010 8.4

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

ACMSP144 8.4

Describe probabilities using fractions, decimals and percentages

ACTDIP021 8.4

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

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

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

VCMSP175

Describe possible everyday events and order their chances of occurring

VCDTDI028

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

VCDTCD030

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

VCMSP232

Describe probabilities using fractions, decimals and percentages

VCDTCD023

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

VCDTDI021

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

VCDTCD032

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

VCDTDI020

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

VCMSP177

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

VCDTCD033

Develop digital solutions as simple visual programs

VCDTDS019

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

VCMSP234

Compare observed frequencies across experiments with expected frequencies

VCDTCD034

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

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

VCMSP147

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

VCMSP176

Identify everyday events where one cannot happen if the other happens

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

ST3-11DI-T old

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

ST3-3DP-T old

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

ST3-2DP-T old

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

ST2-1WS-S old

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

ST2-11DI-T old

Describes how digital systems represent and transmit data

ST2-3DP-T old

Defines problems, describes and follows algorithms to develop solutions

ST2-2DP-T old

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

MA3-3WM old

Gives a valid reason for supporting one possible solution over another

MA3-1WM old

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

MA3-19SP old

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

MA3-2WM old

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

MA3-CHAN-01 new

Conducts chance experiments and quantifies the probability

MA2-CHAN-01 new

Records and compares the results of chance experiments

Differentiation

### Modifications

There are multiple options for completing the second half of this activity depending on the ability levels in your classroom. If the concepts in the second half seem too difficult, you have the option of finishing with the spreadsheets and graphs, and still having a fun, memorable (and assessable) activity to do with your students.

### EXTENSIONS

While some of the strategy ideas may seem conceptually challenging, the students are not asked to solve any difficult problem, only to think about a familiar game in a different way. Students can be challenged to develop their strategy through the “Stra-tree-gic Thinking” sheet, and then to test and hone that strategy through repeated rounds of data collection and examination.