Playing with Probability - Efrons Dice: Difference between revisions

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[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
[[Category:Maths]][[Category:Secondary]][[Category:ORBIT]]
{{DISPLAYTITLE:Playing with Probability - Efron's Dice}}
{{Rinfo
{{Rinfo
|type= Lesson idea
|attribution={{MarkDawes}}
|title=Playing with Probability - Efron's Dice
|title=Playing with Probability - Efron's Dice
|topic=probability, transitivity, comparing two events
|tagline=I have some dice that are coloured green, yellow, red and purple...
|image=Nets.png
|topic=Probability
|subject=Maths
|subject=Maths
|resourcenumber= M0022
|resourcenumber= M0021
|age= Secondary, KS3, KS4
|age= KS4, KS3, Secondary
|content= A lesson activity to explore probability
|content= A lesson activity to explore probability with dice. We are used to the idea of transitivity, where we can ascribe an order to events.  Efron’s dice are non-transitive and probability methods that the pupils are familiar with can be used to explore how to play a game using them.
|strategy=
|strategy=
|additional resources=
|additional resources=
|useful information= Some large wooden dice that are coloured green, yellow, red and purple with stickers to show numbers (see [[Efron's Dice Activity]] page. <br> Any practical probability starting point carries the risk that the results will not, in the short term, produce the expected results. This is a useful discussion point.
|useful information= Large wooden dice that are coloured green, yellow, red and purple with stickers to show numbers (see [[Playing with Probability - Efrons Dice/Activity|this page]]). <br> Any practical probability starting point carries the risk that the results will not, in the short term, produce the expected results. This is a useful discussion point.
|Learning Objectives= By the end of the lesson pupils should be able to:
|Learning Objectives= Understanding the worth of probability tables and how to use them to solve a problem.
* see the worth of probability tables and know how to use them to solve a problem
|related resources=
|related resources=
|other=
|other=
|format= wiki page with downloadable .doc version
|final=yes
|resources= [[Efron's Dice Activity]]
|licence=
|format= A wiki page also available as a downloadable Word document.  
|resources= [[Playing with Probability - Efrons Dice/Activity]] and as a download [[file:Efron's Dice Activity.doc]].
}}
}}

Latest revision as of 11:56, 17 November 2012


Nets.png
I have some dice that are coloured green, yellow, red and purple...

Lesson idea. A lesson activity to explore probability with dice. We are used to the idea of transitivity, where we can ascribe an order to events. Efron’s dice are non-transitive and probability methods that the pupils are familiar with can be used to explore how to play a game using them.

Teaching approach. Efron's dice provide a discussion(ta) topic for joint reasoning(ta) - whole class(ta) or in group work(ta). Pupils can explore aspects of mathematical thinking(ta) particularly with relation to probability. (edit)

Resource details
Title Playing with Probability - Efron's Dice
Topic [[Topics/Probability|Probability]]
Teaching approach

[[Teaching Approaches/Whole class|Whole class]],  [[Teaching Approaches/Mathematical thinking|Mathematical thinking]],  [[Teaching Approaches/Group work|Group work]],  [[Teaching Approaches/Reasoning|Reasoning]],  [[Teaching Approaches/Discussion|Discussion]]

Learning Objectives

Understanding the worth of probability tables and how to use them to solve a problem.

Format / structure

A wiki page also available as a downloadable Word document.

Subject

[[Resources/Maths|Maths]]

Age of students / grade

[[Resources/Secondary|Secondary]],  [[Resources/KS4|KS4]],  [[Resources/KS3|KS3]]


Useful information

Large wooden dice that are coloured green, yellow, red and purple with stickers to show numbers (see this page).
Any practical probability starting point carries the risk that the results will not, in the short term, produce the expected results. This is a useful discussion point.


Files and resources to view and download
Acknowledgement

This resource was adapted from resources contributed by Mark Dawes