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Radioactive Decay and Carbon Dating: Difference between revisions

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{{DISPLAYTITLE:Radioactive Decay and Carbon Dating}}
{{DISPLAYTITLE:Radioactive Decay and Carbon Dating}}
{{Rinfo
{{Rinfo
|type= Lesson idea
|attribution={{Tony Houghton}}
|title=Radioactive Decay and Carbon Dating
|title=Radioactive Decay and Carbon Dating
|tagline=Using 'real life' data
|tagline=Using 'real life' data to explore exponential graphs
|image=Radioisotopes.jpg
|image=Radioisotopes.jpg
|topic=Visualisation
|topic=Visualisation
|subject=Maths
|subject=Maths
|resourcenumber= M0027
|resourcenumber= M0029
|age= Secondary, KS3, KS4
|age= KS4, KS3, Secondary
|content= This project explores exponential graphs and how these are applied in radioactive decay, including carbon dating. For those studying for their GCSEs, it would be appropriate to explore radioactive decay theory and how this forms the basis of carbon dating, including topics such as half-lives and what radioactivity is. This knowledge can be further applied into the processes inside a nuclear reactor; perhaps a student could develop this project by drawing graphs of the amounts of energy released by different radioisotopes when bombarded with a neutron in a nuclear reactor. Learning about exponential graphs would also deepen a student’s understanding of compound interest, which is part of the Maths curriculum and in preparation for A-level Maths.
|content= This project explores exponential graphs and how these are applied in radioactive decay, including carbon dating. For those studying for their GCSEs, it would be appropriate to explore radioactive decay theory and how this forms the basis of carbon dating, including topics such as half-lives and what radioactivity is. This knowledge can be further applied into the processes inside a nuclear reactor; perhaps a student could develop this project by drawing graphs of the amounts of energy released by different radioisotopes when bombarded with a neutron in a nuclear reactor. Learning about exponential graphs would also deepen a student’s understanding of compound interest, which is part of the Maths curriculum and in preparation for A-level Maths.
|Learning Objectives= By the end of the activity students should be able to understand how a mathematical software modelling and visualisation tool such as GeoGebra can be used to explore 'real life' mathematics.|related resources=
|Learning Objectives= By the end of the activity students should be able to understand how a mathematical software modelling and visualisation tool such as GeoGebra can be used to explore 'real life' mathematics.|related resources=
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|licence=
|licence=
|format= wiki page with downloadable .doc version
|format= wiki page with downloadable .doc version
|resources= The first resource is an overall description of the activity with examples.
|related resources=This activity was a result of the [[GeoGebraSTEM_exploration_day|GeoGebra STEM Exploration]] umbrella activity which asked students to develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers. It is described in their own words.
*[[file:Kepler' Third Law with GeoGebra.docx]]
|resources=This is the document plus accompanying GeoGebra application. It was produced by students and can be used to further stimulate new students:  
This is the accompanying GeoGebra application:
*[[file:Radioactive decay.doc]]
*[[file:Kepler's Third Law.ggb]]
*[[file:Radioactive decay.ggb]]
A table of planetary data can be found at the National Earth Science Teachers Association (USA) website: Windows To The Universe:  
http://www.windows2universe.org/our_solar_system/planets_table.html
Have a look at the TI-Nspire STEM booklets (Galloway, Oldknow & Tetlow), such as “Using Real World Data” http://www.nationalstemcentre.org.uk/elibrary/resource/715/stem-activities-with-ti-nspire for other ideas for modelling using these techniques.
 


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