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Listed under:  Health  >  Psychology  >  Cognition  >  Thinking  >  Problem solving
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Two-up - The fairest game of all?

In this lesson, students look at the history and mathematics of Two-Up, exploring why it is considered such a fair game, and how the ‘boxer’ or game runner makes a profit. The lesson is outlined in detail including NSW curriculum links, learning intentions, discussion points, materials required, links to supporting videos ...

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Should you swap?

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 ...

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Assessment task: Non-transitive dice

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 ...

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Poker machines (simulation)

This lesson explores how poker machines work and what is meant by the term Return to Player (RTP) percentage. Students run simulations to determine how small betting amounts can lead to a large cumulative loss over time and examine how reinvesting profits or wins from playing the poker machine back into the machine has ...

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What’s the cost?

This lesson explores gambling losses by comparing losses to other average household purchases. Students then explore how this money could be more profitably invested in a compound interest scheme over time. Finally, students are asked to critically reflect on the true social and financial cost of gambling and to consider ...

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Lucky lottery

In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

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Mathematical modelling: Year 2 – planning tool

This planning resource for Year 2 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms ...

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Sports betting

In this lesson students will take ownership of a gambling organisation. They will look at long term statistics of various sporting matches to set the initial odds and then monitor live betting to adjust the odds they are offering gamblers, in order to demonstrate how sports betting organisations guarantee they always make ...

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Efficient strategies: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Efficient strategies. Students use efficient ways to multiply and divide numbers using increasingly sophisticated strategies. They develop flexible strategies to solve multiplication facts and related division facts and consolidate automatic recall. They identify and ...

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Patterns and number facts: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Patterns and number facts. Students recall and demonstrate mastery of multiplication facts to 10 x 10 with related division facts, and extend to working with larger numbers. They use number facts and flexible strategies with computation of number problems.

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Conduct statistical investigations: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Conduct statistical investigations. Students conduct statistical investigations, collecting data through survey responses and other methods. They record and display data using digital tools, interpret the data and communicate the results of their findings.

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Conduct chance experiments: Year 3 – planning tool

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 ...

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Conduct statistical investigations: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Conduct statistical investigations. Student bring together their learnings and plan a statistical investigation using known data or by conducting statistical data collection themselves. Students identify potential data collection and analysis from available data sets ...

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Area and perimeter: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Area and perimeter. Students should be familiar with the concept of area and how to find the area of a rectangle. They will extend this knowledge to find the formulas for the areas of other shapes, such as a parallelogram and triangles.

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Conduct statistical investigations: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Conduct statistical investigations. Students plan and conduct statistical investigations to collect data to answer a question for an identified problem. They analyse and interpret the data and communicate findings.

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Mathematical modelling (Measurement): Year 7 – planning tool

This planning resource for Year 7 is for the topic of Mathematical modelling. Students use the mathematical modelling to solve representations of real-world problems.

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Mathematical modelling (Measurement): Year 8 – planning tool

This planning resource for Year 8 is for the topic of Mathematical modelling. Students use mathematical modelling to solve problems involving ratios and rates in a financial context.

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Patterns and number facts: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Patterns and number facts. Students bring together knowledge and skills on linear functions and relations and experiment with digital tools to investigate systematic variation of parameters to show the effect. Students cement their understanding of the 'm' and the 'c' ...

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Multiplication and division: Year 2 – planning tool

This planning resource for Year 2 is for the topic of Multiplication and division. Students begin to explore multiplication and realise that it can be represented in many ways.

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Mathematical modelling (Number): Year 7 – planning tool

This planning resource for Year 7 is for the topic of Mathematical modelling. Students use knowledge of the other topics in the Number strand, so that applying knowledge and skills can be modelled. This can be done in groups or as a whole class, as well as individually. Collaborative learning works well for practical problems.